| Adrien Marie Legendre - 1825 - 570 pages
...supposition made either in the enunciation of a proposition, or in the course of a demonstration. Axioms. 22. Two quantities, each of which is equal to a third, are equal to one another. 23. The whole is greater than its part. 24. The whole is equal to the sum of all its parts.... | |
| Adrien Marie Legendre - Geometry - 1825 - 276 pages
...made either in the enunciation of a proposition, or in the course of a demonstration. / 9 Axioms. 22. Two quantities, each of which, is equal to a third, are equal to one another. 23. The whole is greater than its part. 24. The whole is equal to the sum of all its parts.... | |
| Adrien Marie Legendre, John Farrar - Geometry - 1825 - 280 pages
...supposition made either in the enunciation of a proposition, or in the course of a demonstration. Axioms. 22. Two quantities, each of which is equal to a third, are equal to one another. 23. The whole is greater than its part. 24. The whole is equal to the sum of all its parts.... | |
| Timothy Walker - Geometry - 1829 - 156 pages
...other two ratios make a proportion. For ratios are nothing more than fractions, and two fractions, each of which is equal to a third, are equal to each other. Therefore these two make a proportion. Thus if we have 6 : 9 : • 10 : 15 and 6 : 9 : : 16 : 24, then... | |
| Adrien Marie Legendre - Geometry - 1830 - 344 pages
...means the square-root of the product of A and B, or the mean proportional between them. Axioms. 22. Two quantities, each of which is equal to a third, are equal to each other. 23. The whole is greater than any of its parts. 24. The whole is equal to the sum of all its parts.... | |
| Timothy Walker - Geometry - 1831 - 166 pages
...a proportion. For ratios are / nothing more than fractions, and two fractions, each • / t \'fl .k of which is equal to a third, are equal to each other. Therefore these two make a proportion. Thus if we have 6 : 9 : : 10 : 15 and 6 : 9 : : 16 : 24, then... | |
| American Institute of Instruction - Education - 1835 - 318 pages
...proportion, he seldom sees any reason why this is the case ; but after having recognised the axiom, that two quantities, each of which is equal to a third, are equal to each other, he readily perceives, that, if one member of one equation is equal to one member of another, the two... | |
| Joshua Wells Downing - Methodism - 1841 - 346 pages
...disbelieve them without doing violence to our nature. Thus we believe in certain first truths; as, " Two quantities, each of which is equal to a third, are equal to another." " The whole is greater than its part." " The whole is equal to the sum of all its parts,"... | |
| Adrien Marie Legendre - Geometry - 1841 - 288 pages
...supposition made either in the enunciation of a proposition, or in the course of a demonstration. Axioms, 22. Two quantities, each of which is equal to a third, are equal to one another. 23. The whole is greater than its part. 24. The whole is equal to the sum of all its parts.... | |
| Joshua Wells Downing - Methodist Church - 1842 - 346 pages
...disbelieve them without doing violence to our nature. Thus we believe in certain first truths; as, " Two quantities, each of which is equal to a third, are equal to another." " The whole is greater than its part." " The whole is equal to the sum of all its parts,"... | |
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