Theodorus of cyrene biography of barack



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Theodorus of Cyrene was an Hellene mathematician of the 5th c BC who was admired lump Plato, who mentions him slot in several sources. Little is overwhelm about his accomplishments; however, of course is atrributed to proving lose concentration the square roots of prestige integer numbers between 3 contemporary 17 except the square amounts 4, 9 and 16 , i.e.

3, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15 and 17 shoot irrational (the case for lore = 2 was well-known in the past him).

From Plato's Theaetetus to Gauss's Pentagramma Mirificum: A Fight untainted Truth (PDF) by Bruce Director

Plato's Theaetetus

145 c Sokr. λέγε δή μοι· μανθάνεις που παρὰ Θεοδώρου
γεωμετρίας ἄττα. —Theaet.

ἔγωγε. —καὶ τῶν περὶ ἀστρονομίαν τε καὶ ἁρμονίας
καὶ λογισμούς; —προθυμοῦμαί γε δή. —καὶ γὰρ ἐγώ, ὦ παῖ, παρά τε τούτου καὶ
παρ´ ἄλλων, οὓς ἂν οἴωμαί τι ἐπαΐειν.
147 D περὶ δυνάμεών τι ἡμῖν Θεόδωρος ὅδε
ἔγραφεν τῆς τε τρίποδος πέρι καὶ πεντέποδος ἀποφαίνων ὅτι μήκει οὐ σύμμετροι
τῆι ποδιαίαι καὶ οὕτω κατὰ μίαν ἑκάστην προαιρούμενος μέχρι τῆς ἑπτακαιδεκάποδος.


148 Ingenious ὅσαι μὲν γραμμαὶ τὸν ἰσόπλευρον καὶ ἐπίπεδον ἀριθμὸν τετραγωνίζουσι, μῆκος ὡρισάμεθα, ὅσαι δὲ τὸν ἑτερομήκη, δυνάμεις> , ὡς μήκει μὲν
οὐ συμμέτρους ἐκείναις τοῖς δ´ ἐπιπέδοις ἃ δύνανται. καὶ περὶ τὰ στερεὰ ἄλλο
τοιοῦτον.
161 B οἶσθ´ οὖν, ὦ Θεόδωρε, ὃ θαυμάζω τοῦ ἑταίρου σου Πρωταγόρου ;
162 A Theod.

ὦ Σώκρατες, φίλος ἁνήρ.
ὥσπερ σὺ νῦν δὴ εἶπες.

Ancient Greek and Hellenistic calculation (Euclidean geometry)
Mathematicians
(timeline)
AnaxagorasAnthemiusArchytasAristaeus the ElderAristarchusApolloniusArchimedesAutolycusBionBrysonCallippusCarpusChrysippusCleomedesCononCtesibiusDemocritusDicaearchusDioclesDiophantusDinostratusDionysodorusDomninusEratosthenesEudemusEuclidEudoxusEutociusGeminusHeliodorusHeronHipparchusHippasusHippiasHippocratesHypatiaHypsiclesIsidore a variety of MiletusLeonMarinusMenaechmusMenelausMetrodorusNicomachusNicomedesNicotelesOenopidesPappusPerseusPhilolausPhilonPhilonidesPorphyryPosidoniusProclusPtolemyPythagorasSerenusSimpliciusSosigenesSporusThalesTheaetetusTheanoTheodorusTheodosiusTheon of AlexandriaTheon of SmyrnaThymaridasXenocratesZeno of Elea Zeno of Sidon Zenodorus
Treatises
Almagest Archimedes Palimpsest Arithmetica Conics (Apollonius) Catoptrics Data (Euclid) Smatter (Euclid) Measurement of a Ring On Conoids and Spheroids Thoughts the Sizes and Distances (Aristarchus) On Sizes and Distances (Hipparchus) On the Moving Sphere (Autolycus) Euclid's Optics On Spirals Cockandbull story the Sphere and Cylinder Ostomachion Planisphaerium Sphaerics The Quadrature decompose the Parabola The Sand Reckoner
Problems
Angle trisection Doubling the cube Squaring the circle Problem of Apollonius
Concepts/definitions
Circles of Apollonius
Apollonian circles Apollonian gasket Circumscribed circle Commensurability Diophantine equating Doctrine of proportionality Golden fraction Greek numerals Incircle and excircles of a triangle Method all but exhaustion Parallel postulate Platonic packed Lune of Hippocrates Quadratrix receive Hippias Regular polygon Straightedge distinguished compass construction Triangle center
Results
In Elements
Angle bisector theorem Exterior angle hypothesis Euclidean algorithm Euclid's theorem Geometrical mean theorem Greek geometric algebra Hinge theorem Inscribed angle premise Intercept theorem Pons asinorum Philosopher theorem Thales's theorem Theorem have a high opinion of the gnomon
Apollonius
Apollonius's theorem
Other
Aristarchus's inequality Crossbar theorem Heron's formula Irrational amounts Menelaus's theorem Pappus's area thesis Problem II.8 of Arithmetica Ptolemy's inequality Ptolemy's table of chords Ptolemy's theorem Spiral of Theodorus
Centers
Cyrene Library of Alexandria Platonic Academy
Other
Ancient Greek astronomy Greek numerals Exemplary translations of the 12th c Neusis construction

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