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Introductory | |
Mathematics and its divisions | |
Origin of the name | |
The Pythagorean quadrivium | |
Plato's scheme | |
Logistic | |
Later classification | |
Mathematics in Greek Education | |
Practical calculation | |
Enumeration by fingers | |
The abacus | |
Arithmetical Notation And The Chief Arithmetical Operations | |
English notes and examples | |
Division | |
Extraction of the square root | |
Extraction of the cube root | |
Pythagorean Arithmetic | |
First principles | |
Classification of numbers | |
Perfect numbers | |
Figured numbers | |
General | |
Triangular numbers | |
Oblong and square numbers | |
Polygonal numbers | |
Gnomons of polygonal numbers | |
Some properties of numbers | |
The " sieve " of Eratosthenes | |
Divisibility of squares | |
A theorem about cube numbers | |
A property of the pythmen | |
Irrationality of the square root of 2 | |
The theory of proportion and means | |
Arithmetic, geometric and harmonic means | |
Seven other means | |
Pappus's equations between means | |
Plato on means between two squares or two cubes | |
A theorem of Archytas | |
Algebraic equations | |
Side and diameter-numbers | |
The " bloom " of Thymaridas | |
Proclus's Summary | |
Thales | |
Pythagorean Geometry | |
General | |
Sum of the angles of a triangle | |
" Pythagoras's theorem " | |
The application of areas | |
The irrational | |
The five regular solids | |
Democritus | |
Hippocrates Of Chios | |
General | |
Quadrature of lunes | |
Two mean proportionals | |
Special Problems | |
Duplication of the Cube | |
General | |
Solutions given by Eutocius | |
" Plato " | |
Heron | |
Diocles | |
Menaechmus : solution by conies | |
Archytas : solution in three dimensions | |
Eratosthenes | |
Nicomedes : the Conchoid 2. Squaring of the Circle | |
General | |
Approximation by polygons | |
Antiphon | |
Bryson | |
Archimedes | |
Solutions by higher curves | |
General | |
The Quadratrix 3. Trisection of an Angle | |
Types of geometrical problems | |
Solution by means of a verging | |
Direct solutions by means of conies | |
Zeno Of Elea | |
Theaetetus | |
General | |
The five regular solids | |
The irrational | |
Plato | |
General | |
Philosophy of mathematics | |
The diorismos in the Meno | |
The nuptial number | |
Generation of numbers | |
Eudoxus of Cnidos | |
Theory of proportion | |
Volume of pyramid and cone | |
Theory of concentric spheres | |
Aristotle#151 | |
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