 | Euclides - 1855 - 270 Seiten
...Fifth Book. XIV. Invertendo, by inversion ; when there are four proportionals, and it ia inferred that the second is to the first as the fourth to the third.— Prop. B. Book V. XV. Сomponenda, bу composition ; when there are four proportionals, and it is inferred... | |
 | Eucleides - 1860 - 396 Seiten
...this book. 15. Invertendo, by inversion ; when there are four proportionals, and it is inferred, that the second is to the first, as the fourth to the third. Proposition B, book 5. 16. Componendo, by composition ; when there are four proportionals, and it is... | |
 | Robert Potts - 1860 - 380 Seiten
...Fifth Book. XIV. Invertendo, by inversion ; when there are four proportionals, and it is inferred, that the second is to the first, as the fourth to the third, Prop. B. Book v. XV. Componendo, by composition ; when there are four proportionals, and it is inferred... | |
 | Euclides - 1861 - 464 Seiten
...EUCLID. XIV. — Invertendo, by inversion ; when there are four proportionals, and it is inferred that the second is to the first, as the fourth to the third. Prop. B. Book V. Thus, If _ = ^ , or | = |; then invertendo, -, = _> or \ = " Inverse ratio is the... | |
 | George Sturton Ward - 1862 - 104 Seiten
...Ъ ; d. XIV. Invertendo, by inversion ; when there are four proportionals, and it is inferred that the second is to the first as the fourth to the third. Prop. B. If a ; Ъ : : с : d, " invertendo" b : a : : d ; e. XV. Componendo, by composition ; when... | |
 | Euclides - 1863 - 122 Seiten
...Fifth Book. XIV. Invertendo, by inversion : when there are four proportionals, and it is Inferred that the second is to the first as the fourth to the third. XV. Componendo, by composition: when there are four p,oportiouals, and it is inferred that the first... | |
 | Euclides - 1864 - 448 Seiten
...Boole. XIV. Invertendo, by inversion ; when there are four proportionals, and it is inferred, that the second is to the first, as the fourth to the third. Prop. B. Book v. XV. Componendo, by composition ; when there are four proportionals, and it is inferred... | |
 | Horatio Nelson Robinson - 1864 - 444 Seiten
...be in proportion, they will be in proportion by INVERSION; that is, the second will be to tJieJirstt as the fourth to the third. Let a ; b = c : d ; then by formula (A), — = — ', a, c clearing of fractions, bc = ad; hence by Prop. II, b : a = d : c.... | |
 | Euclides - 1865 - 402 Seiten
...Fifth Book. xrv. Invertendo, by inversion ; when there are four proportionals, and it is inferred that the second is to the first as the fourth to the third. —Prop. B. Book v. XV. Componendo, by composition ; when there are four proportionals, and it is inferred... | |
 | Joseph Ray - 1852 - 422 Seiten
...quantities are in proportion, they will be in proportion by INVERSION ; that is, the second wib be to the first, as the fourth to the third. Let a :b : :c :d Then (Art. 263), =- ; ac dividing 1 by each side, -=- ; oa ac a_c b dThat is, (Art. 263), b : a : : d :... | |
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Componendo, by composition ; when there are four proportionals, and it is inferred that the first together with the second, is to the second, as the third together with the fourth, is to the fourth. 
