 | John Playfair - Euclid's Elements - 1842 - 332 pages
...does when divided by the fourth, we say of these magnitudes, as we did of the numbers above described, that the first is to the second as the third to the fourth. There are only two more circumstances necessary to be considered, in order to bring us precisely to... | |
 | Euclides, James Thomson - Geometry - 1845 - 382 pages
...proportion or analogy. When magnitudes are proportionals, the relation is expressed briefly by saying, that the first is to the second, as the third to the fourth, the fifth to the sixth, and so on. f 7. When of the multiples of four magnitudes, taken as in the fifth... | |
 | Euclid - Geometry - 1845 - 218 pages
...called proportionals. 'NB When four magnitudes are propor'tionals, it is usually expressed by saying, the first is ' to the second, as the third to the fourth.' VII. When of the equimultiples of four magnitudes (taken as in the fifth definition), the multiple... | |
 | Euclides - 1845 - 546 pages
...called proportionals. 'NB When four magnitudes are proportionals, it is usually expressed by saying, the first is to the second, as the third to the fourth.' VII. When of the equimultiples of four magnitudes (taken as in the fifth definition), the multiple... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...does when divided by the fourth, we say of these magnitudes, as we did of the numbers above described, that the first is to the second as the third to the fourth. There are only two more circumstances necessary to be considered, in order to bring us precisely to... | |
 | Anthony Dumond Stanley - Geometry - 1848 - 134 pages
...of the third is equal to that of the fourth ; if greater, greater ; and if less, less ; therefore, the first is to the second as the third to the fourth ; that is, APB is to A'P'B', as APBE to A'P'B'E'. _ Cor. The lune APBE is to the whole spherical surface... | |
 | Euclides - 1848 - 52 pages
...called proportionals. ' NB When four magnitudes are proportionals, it is usually expressed by saying, the first is to the second, as the third to the fourth.'. VII. When of the equimultiples of four magnitudes (taken as in the fifth definition), the multiple... | |
 | Uriah Parke - Arithmetic - 1849 - 414 pages
...is an aliquot part of 10 but not of 9. Ratio is the relation between numbersorquantities,expressed by the quotient of one divided by the other; as 3...between them are considered equal to each other; as $'5=500 cents. It is read equal or equal to. + signifies addition, and is called plus, a Latin word... | |
 | Charles Astor Bristed - 1852 - 470 pages
...regular dodecagon. 14. If the first be the same multiple of the second, as the third of the fourth, the first is to the second as the third to the fourth. Give the usual proof, and shew where it is defective. 15. Equal triangles, which have one angle equal,... | |
 | Euclides - Geometry - 1853 - 176 pages
...called proportionals. NB When four magnitudes are proportionals, it is usually expressed by saying, the first is to the second, as the third to the fourth. VII. When of the equimultiples of four magnitudes (taken as in the fifth definition), the multiple... | |
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When of the equimultiples of four magnitudes (taken as in the fifth definition), the multiple of the first is greater than that of the second... 
