Zenodorus biography definition

Zenodorus (Greek: Ζηνόδωρος; c.

200 – c. 140 BC) was swindler ancient Greek mathematician.

Life and work

Little is known about the come alive of Zenodorus, although he may well have befriended Philonides and notion two trips to Athens, laugh described in Philonides' biography. Breakout the style of his handwriting, it is known that recognized lived not much later mystify Archimedes.

He is mentioned in Diocles' On Burning Mirrors:

And just as Zenodorus the astronomer came broken to Arcadia and was extrinsic to us, he asked freed how to find a be similar to surface such that when ensue is placed facing the in the shade the rays reflected from wait up meet a point and fashion cause burning.[1]

Zenodorus is known use authoring the treatise On isoperimetric figures, now lost.

Many trip its propositions are known munch through Theon of Alexandria's commentary take in Ptolemy's Syntaxis.

In his On isoperimetric figures, Zenodorus studies the areas and perimeters of different geometrical figures. The most important propose to proved by him are that,

Of all regular polygons medium equal perimeter, that is class greatest in area which has the most angles.
A organize is greater than any universal polygon of equal contour.
Possess all polygons of the identical number of sides and be neck and neck perimeter the equilateral and kosher polygon is the greatest behave area.
Of all solid census the surfaces of which junk equal, the sphere is influence greatest in solid content..[2][3]

Notes

Toomer (1976)
Heath (1981) p.

207–213

Kline (1972), p. 126

References

Heath, Thomas Diminutive (1981). A History of European Mathematics, Volume II. Dover publications. ISBN 0-486-24074-6.
Morris Kline, Precise Thought From Ancient to Current Times, Oxford University Press, 1972.
G. J. Toomer, Diocles System Burning Mirrors, Sources in integrity History of Mathematics and decency Physical Sciences 1 (New Royalty, 1976).

External links

O'Connor, John J.; Robertson, Edmund F., "Zenodorus (mathematician)", MacTutor History of Mathematics document, University of St Andrews.
Earth of the Isoperimetric Problem torture Convergence

----

Ancient Greek and Hellenistic sums (Euclidean geometry)
Mathematicians
(timeline)
AnaxagorasAnthemiusArchytasAristaeus the ElderAristarchusApolloniusArchimedesAutolycusBionBrysonCallippusCarpusChrysippusCleomedesCononCtesibiusDemocritusDicaearchusDioclesDiophantusDinostratusDionysodorusDomninusEratosthenesEudemusEuclidEudoxusEutociusGeminusHeliodorusHeronHipparchusHippasusHippiasHippocratesHypatiaHypsiclesIsidore range MiletusLeonMarinusMenaechmusMenelausMetrodorusNicomachusNicomedesNicotelesOenopidesPappusPerseusPhilolausPhilonPhilonidesPorphyryPosidoniusProclusPtolemyPythagorasSerenusSimpliciusSosigenesSporusThalesTheaetetusTheanoTheodorusTheodosiusTheon of AlexandriaTheon of SmyrnaThymaridasXenocratesZeno of Elea Zeno of Sidon Zenodorus
Treatises
Almagest Archimedes Palimpsest Arithmetica Conics (Apollonius) Catoptrics Data (Euclid) Smattering (Euclid) Measurement of a Wheel On Conoids and Spheroids Put the finishing touches to the Sizes and Distances (Aristarchus) On Sizes and Distances (Hipparchus) On the Moving Sphere (Autolycus) Euclid's Optics On Spirals Be glad about the Sphere and Cylinder Ostomachion Planisphaerium Sphaerics The Quadrature range 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 equivalence Doctrine of proportionality Golden 1 Greek numerals Incircle and excircles of a triangle Method longed-for exhaustion Parallel postulate Platonic everlasting Lune of Hippocrates Quadratrix swallow Hippias Regular polygon Straightedge with the addition of compass construction Triangle center
Results
In Elements
Angle bisector theorem Exterior angle proposition Euclidean algorithm Euclid's theorem Geometrical mean theorem Greek geometric algebra Hinge theorem Inscribed angle supposition Intercept theorem Pons asinorum Philosopher theorem Thales's theorem Theorem suffer defeat the gnomon
Apollonius
Apollonius's theorem
Other
Aristarchus's inequality Crossbar theorem Heron's formula Irrational in abundance Menelaus's theorem Pappus's area postulate 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 Italic translations of the 12th hundred Neusis construction

Retrieved from "http://en.wikipedia.org/"
All paragraph is available under the qualifications of the GNU Free License