Aristarchus Of Samos
General
Distances of the sun and moon
Continued fractions (?)
Archimedes
General
Surface and volume of the cylinder and sphere
Solution of a cubic equation
Conoids and spheroids-
Preface
Two lemmas
Volume of a segment of a paraboloid of revolution
The spiral of Archimedes-
Definitions
Fundamental property
A verging
Property of the subtangent
Semi-regular solids
System of expressing large numbers
Indeterminate analysis : the Cattle Problem
Mechanics : centres of gravity-
Postulates
Principle of the lever
Centre of gravity of a parallelogram
Mechanical method in geometry
Hydrostatics-
Postulates
Surface of fluid at rest
Solid immersed in a fluid
Stability of a paraboloid of revolution
Eratosthenes-
General
On means
The Platonicus
Measurement of the earth
Apollonius of Perga-
The conic sections-
Relation to previous works
Scope of the work
Definitions
Construction of the sections
Fundamental properties
Transition to new diameter
Other works-
General
On the Cutting-off of a Ratio
On the Cutting-off of an Area
On Determinate Section
On Tangencies
On Plane Loci
On Vergings
On the dodecahedron and the icosahedron
Principles of mathematics
On the Cochlias
On unordered irrationals
Measurement of a circle
Continued multiplications
On the Burning Mirror
Later Developments In Geometry-+
Classification of curves
Attempts to prove the parallel postulate
General
Posidonius and Geminus
Ptolemy
Proclus
Isoperimetric figures
Division of zodiac circle into 360 parts: Hypsicles
Handbooks-
Cleomedes
Theon of Smyrna
Trigonometry
Hipparchus and Menelaus
Ptolemy
General
Table of sines
Introduction
sin 18 degree and sin 36 degree
sin sup 2 theta + cos sup 2 theta =1
Ptolemy's theorem
sin ( theta - phi ) = sin theta cos phi -cos theta sin phi
Sin sup 2 1/2 theta = 1/2(l -COS theta )
cos ( theta + phi ) = cos theta cos phi -sin theta sin phi
Method of interpolation
The table
Menelaus's theorem-
Lemmas
Mensuration : Heron Op Alexandria-
Definitions
Measurement of areas and volumes-