Euclid's Data

Data (Greek: Δεδομένα, Dedomena) is a work by Euclid. It deals with the nature and implications of "given" information in geometrical problems. The subject matter is closely related to the first four books of Euclid's Elements.

Editions and translations

Greek text

Data, ed. H. Menge, in Euclidis opera omnia, vol. 6, Leipzig: Teubner, 1896 (Google Books, Wilbour Hall)

English versions

Translated by Robert Simson: 1821 edition, 1838 edition
The Data of Euclid, trans. from the text of Menge by George L. McDowell and Merle A. Sokolik, Baltimore: Union Square Press, 1993 (ISBN 0-9635924-1-6)
The Medieval Latin Translation of the Data of Euclid, translated by Shuntaro Ito, Tokyo University Press, 1980 and Birkhauser, 1998. (ISBN 3-7643-3005-8)

Euclid

Works

Data
Elements
Optics
Phaenomena

Topics

Namesakes
Euclidean geometry
Euclidean algorithm
Euclid's theorem
Euclidean relation

Scholars

Thomas Heath
Johan Ludvig Heiberg
Robert Simson
Isaac Todhunter

Papyrus Oxyrhynchus 29

Category

Ancient Greek mathematics

Mathematicians
(timeline)

Treatises

Almagest
Archimedes Palimpsest
Arithmetica
Conics (Apollonius)
Catoptrics
Data (Euclid)
Elements (Euclid)
Measurement of a Circle
On Conoids and Spheroids
On the Sizes and Distances (Aristarchus)
On Sizes and Distances (Hipparchus)
On the Moving Sphere (Autolycus)
Optics (Euclid)
On Spirals
On the Sphere and Cylinder
Ostomachion
Planisphaerium
Spherics (Theodosius)
Spherics (Menelaus)
The Quadrature of the Parabola
The Sand Reckoner

Problems

Concepts
and definitions

Angle
- Central
- Inscribed
Axiomatic system
- Axiom
Chord
Circles of Apollonius
- Apollonian circles
- Apollonian gasket
Circumscribed circle
Commensurability
Diophantine equation
Doctrine of proportionality
Euclidean geometry
Golden ratio
Greek numerals
Incircle and excircles of a triangle
Method of exhaustion
Parallel postulate
Platonic solid
Lune of Hippocrates
Quadratrix of Hippias
Regular polygon
Straightedge and compass construction
Triangle center

Results

In Elements	Angle bisector theorem Exterior angle theorem Euclidean algorithm Euclid's theorem Geometric mean theorem Greek geometric algebra Hinge theorem Inscribed angle theorem Intercept theorem Intersecting chords theorem Intersecting secants theorem Law of cosines Pons asinorum Pythagorean theorem Tangent-secant theorem Thales's theorem Theorem of the gnomon
Apollonius	Apollonius's theorem
Other	Aristarchus's inequality Crossbar theorem Heron's formula Irrational numbers Law of sines Menelaus's theorem Pappus's area theorem Problem II.8 of Arithmetica Ptolemy's inequality Ptolemy's table of chords Ptolemy's theorem Spiral of Theodorus

Centers

Ancient Greek astronomy Attic numerals Greek numerals Latin translations of the 12th century Non-Euclidean geometry Philosophy of mathematics Neusis construction
History of	A History of Greek Mathematics by Thomas Heath algebra timeline arithmetic timeline calculus timeline geometry timeline logic timeline mathematics timeline numbers prehistoric counting numeral systems list
Other cultures	Arabian/Islamic Babylonian Chinese Egyptian Incan Indian Japanese