 | Robert Potts - 1865 - 528 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.' vn. "When of the equimultiples of four magnitudes (taken as in the fifth definition), the multiple... | |
 | Robert Potts - 1868 - 434 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... | |
 | Edward Wyndham Tarn - Curves, Plane - 1871 - 244 pages
...the first and fourth. THE STRAIGHT LINE. When four magnitudes are proportional, it is usual to say that the first is to the second as the third to the fourth ; or, the first contains, or is contained in, the second the same number of times, or parts of a time,... | |
 | Euclides - 1874 - 342 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." 7. When of the equimultiples of four magnitudes (taken as in the fifth definition) the multiple of... | |
 | Euclid, Lewis Carroll - Euclid's Elements - 1874 - 80 pages
...QED PEOP. C. If the first be the same multiple or part of the second as the third is of the fourth : the first is to the second as the third to the fourth. Repeat enunciation, with full algebraical meaning If the first be the same multiple or part of the... | |
 | Charles Lutwidge Dodgson - 1874 - 96 pages
...QED PROP. C. If the first be the same multiple or part of the second as the third is of the fourth : the first is to the second as the third to the fourth. Repeat enunciation, with full algebraical meaning If the first be the same multiple or part of the... | |
 | William Alexander Willock - Circle - 1875 - 196 pages
...good — the first is to the third in the ratio of the second to the fourth. BY INVERSION. — When the first is to the second as the third to the fourth, the second is to the first as the fourth to the third. This is evident from the first test. For, since... | |
 | Robert Potts - Geometry - 1876 - 446 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.' VIL "When of the equimultiples of four magnitudes (taken as in the fifth definition), the multiple... | |
 | Thomas Hunter - Geometry, Plane - 1878 - 142 pages
...when the first is to the second as the second to the third. Four quantities are in proportion when the first is to the second as the third to the fourth. For example, A:B::B:C. Let A=2,B=4,and C= 8. Then2:4::4:8; that is, - =-; the equality of ratios. 4... | |
 | Alexis Claude Clairaut - 1881 - 184 pages
...the base AB to the base B c, it may be demonstrated also that when four lines BF, B c, AB, and BG, are such that the first is to the second as the third to the fourth, then the rectangle having for height and base the first and the fourth of these lines, is equal to... | |
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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... 
