tag:blogger.com,1999:blog-23502756813747393382024-03-13T12:44:38.821-07:00ΟΨΕΙΣ ΤΗΣ ΕΛΛΗΝΙΚΗΣ ΚΟΥΛΤΟΥΡΑΣαπό το χώρο των Μαθηματικών και την τοπική ιστορία της Θεσσαλονίκης
N.Kastanishttp://www.blogger.com/profile/16675485220813985774noreply@blogger.comBlogger45125tag:blogger.com,1999:blog-2350275681374739338.post-77444689598675642492021-07-26T04:30:00.000-07:002021-07-26T04:30:26.398-07:00Η διείσδυση των Ηλεκτρονικών Υπολογιστών στο Πανεπιστήμιο Θεσσαλονίκης<p> </p><h3 class="post-title entry-title" itemprop="name">
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<![endif]--></h3>N.Kastanishttp://www.blogger.com/profile/16675485220813985774noreply@blogger.com0tag:blogger.com,1999:blog-2350275681374739338.post-76356481305894080422020-06-16T01:54:00.001-07:002020-06-16T01:54:12.328-07:00Π.-Ε. Ξεφτέρης, το γελαστό παιδί: ένα βιογραφικό βίντεο<div dir="ltr" style="text-align: left;" trbidi="on">
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N.Kastanishttp://www.blogger.com/profile/16675485220813985774noreply@blogger.com0tag:blogger.com,1999:blog-2350275681374739338.post-78791515664447813902020-05-31T03:04:00.000-07:002020-05-31T03:04:30.838-07:00Οι κατοικίες της οικογ. Παντελή Καστάνη.<div dir="ltr" style="text-align: left;" trbidi="on">
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N.Kastanishttp://www.blogger.com/profile/16675485220813985774noreply@blogger.com0tag:blogger.com,1999:blog-2350275681374739338.post-69444828165538806142020-03-28T12:18:00.001-07:002020-03-28T12:18:22.641-07:00Η πανδημία του κορωνοϊού, ένα τραγούδι και μια ανάμνησή μου <div dir="ltr" style="text-align: left;" trbidi="on">
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N.Kastanishttp://www.blogger.com/profile/16675485220813985774noreply@blogger.com0tag:blogger.com,1999:blog-2350275681374739338.post-73265914808375113292019-05-10T04:39:00.000-07:002019-05-10T04:39:27.113-07:00Για τη γειτονιά της Βογατσικού Θεσσαλονίκης, την περίοδο 1950-1970 (βελτιωμένο)<div dir="ltr" style="text-align: left;" trbidi="on">
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N.Kastanishttp://www.blogger.com/profile/16675485220813985774noreply@blogger.com0tag:blogger.com,1999:blog-2350275681374739338.post-15866920326780085452019-05-03T12:04:00.002-07:002019-05-03T12:04:28.324-07:00Ξεδιπλώνοντας τη βιωματική τοπογραφία της παιδικής μου ηλικίας (βελτιωμένη εκδοχή)<div dir="ltr" style="text-align: left;" trbidi="on">
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N.Kastanishttp://www.blogger.com/profile/16675485220813985774noreply@blogger.com0tag:blogger.com,1999:blog-2350275681374739338.post-61775174688937369512019-05-03T11:58:00.001-07:002019-05-03T11:58:39.621-07:00Τρεις δημόσιες εκφάνσεις της Αγλαΐας Ταπτοπούλου Καστάνη (1926 2018)<div dir="ltr" style="text-align: left;" trbidi="on">
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N.Kastanishttp://www.blogger.com/profile/16675485220813985774noreply@blogger.com0tag:blogger.com,1999:blog-2350275681374739338.post-50169437698869925872019-05-03T11:57:00.001-07:002019-05-03T11:57:18.787-07:00Ενθυμημάτων παρακαταθήκη της Αγλαΐας Ταπτοπούλου-Καστάνη (1926-2018)<div dir="ltr" style="text-align: left;" trbidi="on">
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N.Kastanishttp://www.blogger.com/profile/16675485220813985774noreply@blogger.com0tag:blogger.com,1999:blog-2350275681374739338.post-6552752387797888692019-05-03T09:50:00.002-07:002019-05-03T09:50:48.978-07:00Για τη γειτονιά της Βογατσικού Θεσσαλονίκης, την περίοδο 1950-1970 <div dir="ltr" style="text-align: left;" trbidi="on">
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N.Kastanishttp://www.blogger.com/profile/16675485220813985774noreply@blogger.com0tag:blogger.com,1999:blog-2350275681374739338.post-68445461657082631862019-01-29T11:49:00.000-08:002019-01-29T11:49:03.112-08:00Περιδιαβαίνοντας τοποθεσίες και τόπους της γειτονιάς Σβώλου<div dir="ltr" style="text-align: left;" trbidi="on">
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N.Kastanishttp://www.blogger.com/profile/16675485220813985774noreply@blogger.com0tag:blogger.com,1999:blog-2350275681374739338.post-20006585354526336422019-01-09T08:28:00.000-08:002019-01-09T08:28:08.730-08:00Η οδός Απελλού και ο Ιωάννης Μιχαήλ<div dir="ltr" style="text-align: left;" trbidi="on">
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N.Kastanishttp://www.blogger.com/profile/16675485220813985774noreply@blogger.com0tag:blogger.com,1999:blog-2350275681374739338.post-17456326525361614372018-12-10T12:43:00.001-08:002018-12-10T12:43:54.226-08:00Ξεδιπλώνοντας τη βιωματική τοπογραφία της παιδικής μου ηλικίας<div dir="ltr" style="text-align: left;" trbidi="on">
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N.Kastanishttp://www.blogger.com/profile/16675485220813985774noreply@blogger.com0tag:blogger.com,1999:blog-2350275681374739338.post-51286861947704147322017-02-14T13:53:00.001-08:002017-02-14T13:53:19.023-08:00Η γειτονιά του 8ου (και του 18ου) Δημ. Σχολείου (γ΄ έκδοση)<div dir="ltr" style="text-align: left;" trbidi="on">
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N.Kastanishttp://www.blogger.com/profile/16675485220813985774noreply@blogger.com0tag:blogger.com,1999:blog-2350275681374739338.post-29696613241740044532016-12-15T10:45:00.002-08:002016-12-15T10:45:53.347-08:00Η γειτονιά του 8ου (και του 18ου) Δημ. Σχολείου Θεσ/νίκης, με μια ιστορική ματιά (β΄έκδ.)<div dir="ltr" style="text-align: left;" trbidi="on">
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N.Kastanishttp://www.blogger.com/profile/16675485220813985774noreply@blogger.com0tag:blogger.com,1999:blog-2350275681374739338.post-1048582127150996102016-04-03T15:57:00.001-07:002016-04-03T16:01:23.494-07:00Η Διδακτική των Μαθηματικών στην πατρίδα του Vygotsky<div dir="ltr" style="text-align: left;" trbidi="on">
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N.Kastanishttp://www.blogger.com/profile/16675485220813985774noreply@blogger.com0tag:blogger.com,1999:blog-2350275681374739338.post-41810526215639521342015-04-21T09:12:00.002-07:002015-04-21T09:12:47.966-07:00Συμπεριφορές στο Τμήμα Μαθηματικών του Πανεπιστημίου Θεσσαλονίκης, την Περίοδο της Κατοχής<div dir="ltr" style="text-align: left;" trbidi="on">
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N.Kastanishttp://www.blogger.com/profile/16675485220813985774noreply@blogger.com0tag:blogger.com,1999:blog-2350275681374739338.post-79573231979636459412014-12-30T11:14:00.000-08:002014-12-30T11:14:12.511-08:00Θέματα εξετάσεων στον Διαφορικό και Ολοκληρωτικό Λογισμό, Β' έτους, του Τμήματος Μαθηματικών Α.Π.Θ.<div dir="ltr" style="text-align: left;" trbidi="on">
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<span style="color: yellow;"><span style="font-family: "Comic Sans MS"; font-size: 14.0pt; line-height: 115%;">Θέματα εξετάσεων στον Διαφορικό και Ολοκληρωτικό
Λογισμό, Β' έτους, του Τμήματος Μαθηματικών Α.Π.Θ. για τον Ιούνιο του 1981</span></span></div>
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Καστάνη</span></div>
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N.Kastanishttp://www.blogger.com/profile/16675485220813985774noreply@blogger.com0tag:blogger.com,1999:blog-2350275681374739338.post-32236709400999245722014-12-30T10:23:00.000-08:002019-09-05T09:21:05.690-07:00Θέματα εξετάσεων στον Διαφορικό και Ολοκληρωτικό Λογισμό, Β' έτους, του Τμήματος Μαθηματικών Α.Π.Θ. <div dir="ltr" style="text-align: left;" trbidi="on">
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N.Kastanishttp://www.blogger.com/profile/16675485220813985774noreply@blogger.com0tag:blogger.com,1999:blog-2350275681374739338.post-41484073997167504052014-12-30T09:30:00.001-08:002014-12-30T09:47:26.814-08:00Δύο ασκήσεις για τη συνέχεια πραγματικής συνάρτησης μιας πραγματικής μεταβλητής<div dir="ltr" style="text-align: left;" trbidi="on">
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N.Kastanishttp://www.blogger.com/profile/16675485220813985774noreply@blogger.com0tag:blogger.com,1999:blog-2350275681374739338.post-14916981903467418312014-11-15T12:55:00.000-08:002014-11-15T12:55:18.514-08:00Η Υποδοχή της Ινδο-Αραβικής Αριθμητικής στην Ελληνο-Βυζαντινή Παιδεία<div dir="ltr" style="text-align: left;" trbidi="on">
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N.Kastanishttp://www.blogger.com/profile/16675485220813985774noreply@blogger.com0tag:blogger.com,1999:blog-2350275681374739338.post-71801998404501547322014-10-10T09:44:00.000-07:002014-10-10T09:59:21.589-07:00Ο Καζαντζάκης και τα Μαθηματικά<div dir="ltr" style="text-align: left;" trbidi="on">
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<span style="color: yellow; font-family: "Comic Sans MS"; font-size: 18.0pt; line-height: 115%;">Ο Καζαντζάκης και τα Μαθηματικά</span></div>
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<span style="font-family: "Comic Sans MS"; font-size: 12.0pt; line-height: 115%;">του Ν.
Καστάνη</span></div>
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<span style="font-family: "Comic Sans MS"; font-size: 12.0pt; line-height: 115%;">Ο Νίκος Καζαντζάκης (1883-1957) αναγνωρίζεται ως ένας από τους
σημαντικότερους σύγχρονους Έλληνες συγγραφείς (μυθιστοριογράφος, ποιητής,
θεατρικός συγγραφέας, δημοσιογράφος και φιλόσοφος).</span></div>
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/* Style Definitions */
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<span style="font-family: "Comic Sans MS"; font-size: 12.0pt; line-height: 115%;">Το λογοτεχνικό του έργο είναι σημαντικότατο και διαβάζεται
ευρέως στην Ελλάδα και στο εξωτερικό.</span></div>
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<br /></div>
<div class="MsoNormal">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt; line-height: 115%;">Ήταν ανήσυχος άνθρωπος. Ανάπτυξε πολλές δραστηριότητες και
διείσδυσε βαθιά στο κόσμο των ιδεών. Ένα όχι και όσο γνωστό σκίρτημά του στην
διανοητική του πορεία ήταν και στον κόσμο των Μαθηματικών. Ήταν δύο μικρές
παρεμβάσεις του που σχετίζονται με τα Μαθηματικά.</span></div>
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<br /></div>
<div class="MsoNormal">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt; line-height: 115%;">Το 1909 έγραψε ένα άρθρο στο περιοδικό “Παναθήναια” [19,
(219), σελ. 71-75] με τίτλο: Η Επιστήμη Εχρεωκόπησε; </span></div>
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<a href="http://3.bp.blogspot.com/-AkaRKWO3eCo/VDgEBxiEy0I/AAAAAAAAAYw/vdpwNHFkFOI/s1600/%CE%9A%CE%B1%CE%B6%CE%B1%CE%BD%CF%84%CE%B6%CE%AC%CE%BA%CE%B7_2.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="http://3.bp.blogspot.com/-AkaRKWO3eCo/VDgEBxiEy0I/AAAAAAAAAYw/vdpwNHFkFOI/s1600/%CE%9A%CE%B1%CE%B6%CE%B1%CE%BD%CF%84%CE%B6%CE%AC%CE%BA%CE%B7_2.jpg" height="320" width="222" /></a></div>
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<span style="font-family: "Comic Sans MS"; font-size: 12.0pt; line-height: 115%;">Επρόκειτο για μια απάντηση, με τη μορφή φιλοσοφικής επιφυλλίδας,
στην κριτική και επικριτική παρουσίαση της υφηγεσίας του [Ο Φρειδερίκος Νίτσε
εν τη φιλοσοφία του δικαίου και της πολιτείας (1909)] σε προ-προηγούμενο τεύχος
[217] του ίδιου περιοδικού. Αξίζει να σημειωθεί ότι την κριτική αυτή παρουσίαση
έκανε ο Αρέτας, κάποιος μορφωμένος, πιθανότατα μαθηματικός, που χρησιμοποιούσε αυτό το ψευδώνυμο.</span></div>
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<span style="font-family: "Comic Sans MS"; font-size: 12.0pt; line-height: 115%;">Δύο σημεία της κριτικής αυτής είναι ιδιαίτερα ενδιαφέροντα. Το
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<span style="font-family: "Comic Sans MS"; font-size: 12.0pt; line-height: 115%;">Και το δεύτερο:</span></div>
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<span style="font-family: "Comic Sans MS"; font-size: 12.0pt; line-height: 115%;">Ο Καζαντζάκης αντιπαραθέτει την δική φιλοσοφική σκοπιά
σημειώνοντας μεταξύ άλλων:</span></div>
<div class="MsoNormal">
<br /></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="http://3.bp.blogspot.com/-gYc3x04ymd0/VDgKZXFKJYI/AAAAAAAAAZY/5CU5sPwVwd4/s1600/%CE%B1%CF%80%CE%AC%CE%BD%CF%84%CE%B7%CF%83%CE%B7%2B%CE%9A%CE%B1%CE%B6%CE%B1%CE%BD%CF%84%CE%B6%CE%AC%CE%BA%CE%B7_1.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="http://3.bp.blogspot.com/-gYc3x04ymd0/VDgKZXFKJYI/AAAAAAAAAZY/5CU5sPwVwd4/s1600/%CE%B1%CF%80%CE%AC%CE%BD%CF%84%CE%B7%CF%83%CE%B7%2B%CE%9A%CE%B1%CE%B6%CE%B1%CE%BD%CF%84%CE%B6%CE%AC%CE%BA%CE%B7_1.jpg" height="320" width="277" /></a></div>
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<br />
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<div class="MsoNormal">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt; line-height: 115%;"> Και λίγο παρακάτω:</span></div>
<div class="MsoNormal">
<br /></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="http://3.bp.blogspot.com/-nlub0JuJkxQ/VDgKlrLYp2I/AAAAAAAAAZg/Zt_DylzuNSc/s1600/%CE%91%CF%80%CE%AC%CE%BD%CF%84%CE%B7%CF%83%CE%B7%2B%CE%9A%CE%B1%CE%B6%CE%B1%CE%BD%CF%84%CE%B6%CE%AC%CE%BA%CE%B7_2.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="http://3.bp.blogspot.com/-nlub0JuJkxQ/VDgKlrLYp2I/AAAAAAAAAZg/Zt_DylzuNSc/s1600/%CE%91%CF%80%CE%AC%CE%BD%CF%84%CE%B7%CF%83%CE%B7%2B%CE%9A%CE%B1%CE%B6%CE%B1%CE%BD%CF%84%CE%B6%CE%AC%CE%BA%CE%B7_2.jpg" height="320" width="271" /></a></div>
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<span style="font-family: "Comic Sans MS"; font-size: 12.0pt; line-height: 115%;">Χωρίς αμφιβολία, αυτή η αντιπαράθεση ανάδειξε κάποιες βαθύτερες
φιλοσοφικές διαθέσεις και γνώσεις για τα Μαθηματικά δύο επιφανών διανοουμένων στην
Ελλάδα του 1909. Το λάθος του Καζαντζάκη με την “κυρία Λομπατσέφσκη” μπορεί να
συγχωρεθεί ως άνθρωπος των γραμμάτων με νομικές κι όχι μαθηματικές σπουδές.</span></div>
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<span style="font-family: "Comic Sans MS"; font-size: 12.0pt; line-height: 115%;">Λίγα χρόνια αργότερα, το 1913, με μια άλλη ευκαιρία συμβάλει, πάρεργα,
στην Ελληνική μαθηματική παιδεία. Μεταφράζει, πιθανότατα για βιοποριστικούς
λόγους, το βιβλίο: Αγωγή επί τη βάσει της επιστήμης, του </span><span lang="EN-US" style="font-family: "Comic Sans MS"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: EN-US;">G</span><span style="font-family: "Comic Sans MS"; font-size: 12.0pt; line-height: 115%;">. </span><span lang="EN-US" style="font-family: "Comic Sans MS"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: EN-US;">A</span><span style="font-family: "Comic Sans MS"; font-size: 12.0pt; line-height: 115%;">. </span><span lang="EN-US" style="font-family: "Comic Sans MS"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: EN-US;">Laisant</span><span style="font-family: "Comic Sans MS"; font-size: 12.0pt; line-height: 115%;">.</span><span lang="EN-US" style="font-family: "Comic Sans MS"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: EN-US;"></span></div>
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<span style="color: white;"><span style="font-family: "Comic Sans MS"; font-size: 12.0pt; line-height: 115%;">Πρόκειται για μια πολύ ενδιαφέρουσα προσέγγιση του </span><span lang="EN-US" style="font-family: "Comic Sans MS"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: EN-US;">Laisant</span><span style="font-family: "Comic Sans MS"; font-size: 12.0pt; line-height: 115%;">. </span></span></div>
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<span style="color: white;"><span style="font-family: "Comic Sans MS"; font-size: 12.0pt; font-weight: normal; mso-bidi-font-weight: bold;">Ο συγγραφέας του
βιβλίου, </span><span style="font-family: "Comic Sans MS"; font-size: 12.0pt; font-weight: normal;">Charles-Ange Laisant</span><span style="font-family: "Comic Sans MS"; font-size: 12.0pt; font-weight: normal; mso-bidi-font-weight: bold;"> (1841–1920), ήταν Γάλλος
επιστήμονας με δραστηριότητα στα Μαθηματικά και την Διδακτική τους. Υπήρξε
συνιδρυτής με και συνεπιμελητής των περιοδικών: <i><a href="http://en.wikipedia.org/wiki/L%27Interm%C3%A9diaire_des_Math%C3%A9maticiens" title="L'Intermédiaire des Mathématiciens"><span style="text-decoration: none; text-underline: none;">L'Intermédiaire des Mathématiciens</span></a>,
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<span style="color: windowtext; font-family: "Comic Sans MS"; font-size: 12.0pt; font-weight: normal; mso-bidi-font-weight: bold;"> </span><span style="color: white;"><span lang="EN-US" style="font-size: 12.0pt; mso-ansi-language: EN-US;">Charles-Ange-Laisant</span></span></div>
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<span style="font-family: "Comic Sans MS"; font-size: 12.0pt; line-height: 115%;">Αν και η επιλογή, εκτός από τη μετάφραση, του συγκεκριμένου
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<span style="font-family: "Comic Sans MS"; font-size: 12.0pt; line-height: 115%;">Δίνονται τα σημεία Α(3,5) και Β(2,4). Αν οι άξονες
συντεταγμένων είναι καθρέπτες και η ευθεία ΑΒ μια φωτεινή ακτίνα με κατεύθυνση από
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N.Kastanishttp://www.blogger.com/profile/16675485220813985774noreply@blogger.com0tag:blogger.com,1999:blog-2350275681374739338.post-46608833785022258442014-10-09T10:24:00.002-07:002014-10-09T10:24:35.843-07:00Μπορεί να οριστεί η ισότητα οριζουσών;;<div dir="ltr" style="text-align: left;" trbidi="on">
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<span style="color: #e36c0a; font-family: "Comic Sans MS"; font-size: 20.0pt; line-height: 115%; mso-themecolor: accent6; mso-themeshade: 191;">Μπορεί να οριστεί η
ισότητα οριζουσών;;</span></div>
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<br /></div>
<div align="center" class="MsoNormal" style="text-align: center;">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt; line-height: 115%;">του Ν.
Καστάνη</span></div>
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N.Kastanishttp://www.blogger.com/profile/16675485220813985774noreply@blogger.com0tag:blogger.com,1999:blog-2350275681374739338.post-58725081856627928062014-10-09T09:17:00.000-07:002014-10-09T09:32:02.860-07:00Το πρώτο Ελληνικό βιβλίο Αναλυτικής Γεωμετρίας<div dir="ltr" style="text-align: left;" trbidi="on">
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<u><span style="font-family: "Comic Sans MS"; font-size: 12.0pt; line-height: 115%;">Ο συγγραφέας</span></u><span style="font-family: "Comic Sans MS"; font-size: 12.0pt; line-height: 115%;"> του βιβλίου, Μιχαήλ Μ.
Σοφιανός (1811-1887), γεννήθηκε στην Κωνσταντινούπολη και πέθανε στην Αθήνα.
Ήταν ένας από τους πρώτους σπουδαστές του Κεντρικού Πολεμικού Σχολείου, την
περίοδο 1829-1831.</span></div>
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<div class="MsoNormal">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt; line-height: 115%;">Δίδαξε Ανώτερα Μαθηματικά και Οχυρωματική στο Κεντρικό
Πολεμικό Σχολείο και στη Ναυτική Σχολή, την περίοδο 1854-1872.</span></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<u><span style="font-family: "Comic Sans MS"; font-size: 12.0pt; line-height: 115%;">Το περιεχόμενο</span></u><span style="font-family: "Comic Sans MS"; font-size: 12.0pt; line-height: 115%;"> του: </span></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt; line-height: 115%;">Μέρος Πρώτον Αναλυτική Γεωμετρία Δύο Διαστάσεων. </span></div>
<div class="MsoNormal">
<br />
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt; line-height: 115%;">Κεφ. Α’ Περί προβλημάτων ωρισμένων (</span><span lang="EN-US" style="font-family: "Comic Sans MS"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: EN-US;">sic</span><span style="font-family: "Comic Sans MS"; font-size: 12.0pt; line-height: 115%;">). </span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Περί
μορφώσεως της των προβλημάτων εξισώσεως. </span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Περί
αρνητικών τιμών αγνώστων. </span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Περί
ομογενείας. </span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Κατασκευή
των αλγεβραϊκών εκφράσεων.</span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Προβλήματα
γεωμετρικά αλγεβραϊκώς επιλυόμενα. </span></div>
<div class="MsoNoSpacing">
<br /></div>
<div class="MsoNormal">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt; line-height: 115%;">Κεφ. Β’ Περί γεωμετρικών τόπων.</span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Γεωμετρικοί
τόποι-Δήλωσις αυτών δι’ εξισώσεων. </span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Παραδείγματα
και προβλήματα γεωμετρικών τόπων. </span></div>
<div class="MsoNoSpacing">
<br /></div>
<div class="MsoNormal">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt; line-height: 115%;">Κεφ. Γ’ Μετασχηματισμός των συντεταγμένων. </span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Αντικείμενον
του μετασχηματισμού των συντεταγμένων.</span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Τύποι
προς μετασχηματισμόν των συντεταγμένων. </span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Παρατηρήσεις
επί των τύπων του μετασχηματισμού των συντεταγμένων</span>. </div>
<div class="MsoNoSpacing">
<br /></div>
<div class="MsoNormal">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt; line-height: 115%;">Κεφ. Δ’ Γενική των γραμμών κατάταξις. </span></div>
<div class="MsoNormal">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt; line-height: 115%;">Κεφ. Ε’ Γραμμαί της πρώτης τάξεως. </span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Κατασκευή
των πρωτοβάθμιών εξισώσεων.</span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Προβλήματα
επί της ευθείας γραμμής. </span></div>
<div class="MsoNoSpacing">
<br /></div>
<div class="MsoNormal">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt; line-height: 115%;">Κεφ. ΣΤ’ Γραμμαί της δευτέρας τάξεως. </span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Διαίρεσις
των γραμμών της δευτέρας τάξεως εις τρία γένη.</span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Διασκόπησις
της ελλείψεως </span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Διασκόπησις
της υπερβολής, §Ασύμπτωτοι της υπερβολής εν γένει. </span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Διασκόπησις
της παραβολής. </span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Εφαρμογαί
των προεκτεθέντων επί παραδειγμάτων αριθμητικών.</span></div>
<div class="MsoNoSpacing">
<br /></div>
<div class="MsoNormal">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt; line-height: 115%;">Κεφ. Ζ’ Αναγωγή της γενικής δευροβαθμίου εξισώσεως εφ’
απλουστέραν μορφήν. </span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Εξάλειψις
των πρωτοβαθμίων όρων. </span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Εξάλειψις
του ορθογωνίου. </span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Αναγωγή
της γενικής εξισώσεως. </span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Περί
κέντρου και αξόνων.</span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Αναπτύξεις
των λογισμών δι’ ων μορφούμεν τας μετασχηματισθείσας. </span></div>
<div class="MsoNoSpacing">
<br /></div>
<div class="MsoNormal">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt; line-height: 115%;">Κεφ. Η’ Περί Κύκλου. </span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Μορφαί
διάφοροι της του κύκλου εξισώσεως. </span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Θεωρήματα
επί του κύκλου. <span style="mso-spacerun: yes;"> </span></span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Περί
της εφαπτομένης και της καθέτου. </span></div>
<div class="MsoNoSpacing">
<br /></div>
<div class="MsoNormal">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt; line-height: 115%;">Κεφ. Θ’ Περί Ελλείψεως. </span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Η
έλλειψις αναφερομένη προς κέντρον και τους άξονας αυτής. <span style="mso-spacerun: yes;"> </span></span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Κατασκευαί
της ελλείψεως δια των αξόνων αυτής.</span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Περί
των εστιών και των διευθετουσών. </span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Περί
της εφαπτομένης και της καθέτου.</span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Περί
των διαμέτρων. </span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Περί
των παραπληρωματικών χορδών.</span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Η
έλλειψις αναφερομένη προς συζυγείς διαμέτρους αυτής. </span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Τετραγωνισμός
της ελλείψεως. </span></div>
<div class="MsoNoSpacing">
<br /></div>
<div class="MsoNormal">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt; line-height: 115%;">Κεφ. Ι’ Περί Υπερβολής. </span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Η
υπερβολή αναφερομένη προς το κέντρον και τους άξονες αυτής.</span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Περί
των εστιών και των διευθετουσών. </span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Περί
της εφαπτομένης και της καθέτου.</span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Περί
των διαμέτρων, §Περί των παραπληρωματικών χορδών. </span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Η
υπερβολή αναφερομένη προς συζυγείς διαμέτρους αυτής. </span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Περί
ασυμπτώτων. </span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Η
υπερβολή αναφερομένη προς τας διαμέτρους αυτής. </span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Τετραγωνισμός
της υπερβολής. </span></div>
<div class="MsoNoSpacing">
<br /></div>
<div class="MsoNormal">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt; line-height: 115%;">Κεφ. ΙΑ’ Περί Παραβολής. </span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Η
παραβολή αναφερομένη προς τον άξονα αυτής.</span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Περί
της εστίας και της διευθετούσης.</span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Περί
της εφαπτομένης και της καθέτου.</span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Περί
των διαμέτρων.</span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Η
παραβολή αναφερομένη προς διαμέτρους αυτής.</span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Τετραγωνισμός
της παραβολής.</span></div>
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<br /></div>
<div class="MsoNormal">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt; line-height: 115%;">Κεφ. ΙΒ’ Περί των του κώνου και του κυλύνδρου τομών.</span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Τομαί
κωνικαί-Ταυτότης των καμπυλών τούτων και των της δευτέρας τάξεως.</span></div>
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<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Τομή
κυλινδρική.</span></div>
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<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Τομαί
αντιπαράλληλοι του πλαγίου κώνου.</span></div>
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<br /></div>
<div class="MsoNormal">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt; line-height: 115%;">Κεφ. ΙΓ’ Περί συντεταγμένων πολικών.</span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Ορισμοί-Τύπο
γενικοί.</span></div>
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<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Εξίσωσις
πολική της ευθείας γραμμής.</span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Εξίσωσις
πολική του κύκλου.</span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Εξίσωσις
πολική της ελλείψεως.</span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Εξίσωσις
πολική της υπερβολής.</span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Εξίσωσις
πολική της παραβολής.</span></div>
<div class="MsoNoSpacing">
<br /></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Κεφ.
ΙΔ’ Χρήσις των καμύλων.</span></div>
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<br /></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Γεωμετρική
επίλυσις εξισώσεων ωρισμένων.</span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Περί
προβλημάτων τινων περιφήμων παρά τοις Αρχαίοις.</span></div>
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<br /></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Μέρος
Δεύτερον Αναλυτική Γεωμετρία Τριών Διαστάσεων.</span></div>
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<br />
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Κεφ.
Α’ Περί του επιπέδου και της ευθείας εν τω διαστήματι.</span></div>
<div class="MsoNoSpacing">
<br /></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Ορισμός
των σημείων, των γραμμών και των επιφανειών εν τω διαστήματι.</span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Εξίσωσις
επιπέδου.</span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Εξίσωσις
της ευθείας γραμμής.</span></div>
<div class="MsoNoSpacing">
<br /></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Κεφ.
Β’ Προβλήματα κατά το επίπεδον και την ευθείαν γραμμήν. </span></div>
<div class="MsoNoSpacing">
<br /></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Προβλήματα
ων η επίλυσις είναι η αυτή εν οιονδήποτε συστήματι αξόνων.</span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Προβλήματα
ων η επίλυσις είναι εν αξόνισιν ορθογωνίοις.</span></div>
<div class="MsoNoSpacing">
<br /></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;"><span style="mso-spacerun: yes;"> </span>Κεφ. Γ’ Μετασχηματισμός των συντεταγμένων εν
τω διαστήματι.</span></div>
<div class="MsoNoSpacing">
<br /></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Τύποι
των διαφόρων περιπτώσεων.</span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Τύποι
δι’ ων ευρίσκεται η επιπέδω τομή επιφάνειας.</span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Περί
πολικών συντεταγμένων.</span></div>
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<br /></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Κεφ.
Δ’ Περί διαφόρων ειδών επιφανειών.</span></div>
<div class="MsoNoSpacing">
<br /></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Περί
της σφαιρικής επιφάνειας.</span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Περί
των κυλινδρικών επιφανειών.</span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Περί
των κωνικών επιφανειών.</span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Περί
των κωνοειδών επιφανειών.</span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Περί
των επιφανειών εκ περιστροφής.</span></div>
<div class="MsoNoSpacing">
<br /></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Κεφ.
Ε’ Επιφάνειαι της δευτέρας τάξεως.</span></div>
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<br /></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Γενική
των επιφανειών κατάταξις.</span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Αναγωγή
της γενικής δευτεροβαθμίου εξισώσεως εφ’ απλουστέραν μορφήν.</span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Παρατηρήσεις
επί των εξισώσεων (Ε), (Ζ)-διακρίσεις των εχουσών κέντρον επιφανειών από των
στερουμένων κέντρου.</span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Διασκόπησις
των εχουσών κέντρον επιφανειών.</span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Διασκόπησις
των στερουμένου κέντρου επιφανειών.</span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Μερικαί
παρατηρήσεις</span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Ανακεφαλαίωσις.</span></div>
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<br /></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Κεφ.
ΣΤ’ Τομαί των επιφανειών δευτέρας τάξεως δι’ επιπέδων.</span></div>
<div class="MsoNoSpacing">
<br /></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Περί
διαφόρων καμπύλων των επιπέδων τομών.</span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Τομαί
κυκλικαί.</span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Αποδείξεις
δύο θεωρημάτων.</span></div>
<div class="MsoNoSpacing">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Κεφ.
Ζ’ Επίπεδα εφαπτόμενα των επιφανειών της δευτέρας τάξεως.</span></div>
<div class="MsoNoSpacing">
<br /></div>
<div class="MsoNoSpacing">
<br /></div>
<div class="MsoNoSpacing">
<u><span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Αριθμός
σελίδων</span></u><span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">:
376+</span><span lang="EN-US" style="font-family: "Comic Sans MS"; font-size: 12.0pt; mso-ansi-language: EN-US;">VI</span><span style="font-family: "Comic Sans MS"; font-size: 12.0pt;"> πίνακες (με σχήματα).</span><br />
<br />
<div style="text-align: right;">
<span style="font-family: "Comic Sans MS"; font-size: 12.0pt;">Το έγραψε ο Ν. Καστάνης </span></div>
</div>
<br /></div>
N.Kastanishttp://www.blogger.com/profile/16675485220813985774noreply@blogger.com0tag:blogger.com,1999:blog-2350275681374739338.post-14268710859271156352014-09-07T08:05:00.000-07:002014-09-07T08:08:25.701-07:00Η Εμφάνιση των Πιθανοτήτων στην Σύγχρονη Ελλάδα <div dir="ltr" style="text-align: left;" trbidi="on">
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