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| 1 |
The nature and existence of quantity, its relation to matter, substance, and body, the transcendental categories of quantity. |
| 2 |
The relation between quantity and quality, reducibility of quality to quantity. |
| 3 |
The relation of quantities, equality and proportion. |
| 4 |
The kinds of quantity, continuous and discontinuous. |
| 5 |
The magnitudes of geometry, the relations of dimensionality. |
| 6 |
Straight lines, their length and their relations, angles, perpendiculars, parallels. |
| 7 |
Curved lines, their kinds, number, and degree, Circles. |
| 8 |
Ellipses, Parabolas. |
| 9 |
Hyperbolas. |
| 10 |
The relations of straight and curved lines, tangents, secants, asymptotes. |
| 11 |
Surfaces. |
| 12 |
The measurement and transformation of areas. |
| 13 |
The relations of surfaces to lines and solids. |
| 14 |
Solids, regular and irregular. |
| 15 |
The determination of volume. |
| 16 |
The relations of solids, inscribed and circumscribed spheres, solids of revolution. |
| 17 |
Discrete quantities, number and numbering. |
| 18 |
The kinds of numbers, odd-even, square-triangular, prime-composite. |
| 19 |
The relations of numbers to one another, multiples and fractions, series of numbers. |
| 20 |
The number series as a continuum, positive and negative numbers, imaginary numbers. |
| 21 |
Physical quantities. |
| 22 |
Space, the matrix of figures and distances. |
| 23 |
Time, the number of motion. |
| 24 |
The quantity of motion, momentum, velocity, acceleration. |
| 25 |
Mass, its relation to weight. |
| 26 |
Force, its measure and the measure of its effect. |
| 27 |
The measurements of quantities, the relation of magnitudes and multitudes, the units of measurement. |
| 28 |
Commensurable and incommensurable magnitudes. |
| 29 |
Mathematical procedures in measurement, superposition, congruence, ratio and pro-portion, parameters and coordinates. |
| 30 |
Physical procedures in measurement, experiment and observation, clocks, rules, balances. |
| 31 |
Infinite quantity, the actual infinite and the potentially infinite quantity, the mathematical and physical infinite of the great and the small. |
All text from the Outlines is Copyright ©1990 Encyclopedia Britannica Inc.; this electronic edition is Copyright© 2005 by Michael R. Lissack and reproduced by permission.