CONTENTS.

A. HERON’S MECHANICS.

Physics. 12 D '13 Stechert 500 V. 2', 3-4, V. 1. supplement.

		Page
١ (1).	System of toothed gears and axles to lift a given load by a given force	3
٢ (2).	Motion of interlocking toothed gears Heron describes how gears transfer motion between one another.	7
٣ (3).	Identical and opposite motion of individual points on two identical interlocking wheels	9
٤ (4).	The same type of motion in unequal wheels	11
٥ (5).	Motion of three or more wheels. Motion of a point on a wheel	13
٦ (6).	Motion of unequal wheels on the same axle and on different axles	15
٧ (7).	Equally fast motion of unequal wheels on the same axle	17
٨ (8).	A point moving in two motions, each of constant speed, can cover unequal distances	19
٩ (9).	To construct a similar figure to a given plane figure according to a given ratio	23
١٠ (10).	To find a similar figure to a given solid figure according to a given ratio	23
١١ (11).	Construction of two mean proportionals A classic Greek mathematical problem, often used for doubling the cube.	25
١٢ (12).	Definition of congruence and similarity	27
١٣ (13).	Definition of similarity with the help of the point of similarity Also known as the center of homothety.	29
١٤ (14).	For every given plane figure, a similar one can be constructed according to a given ratio	29