| Euclides - 1855
...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
...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 - 361 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
...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
...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
...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... | |
| Robert Potts - 1864
...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 - 420 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.... | |
| Alexander Kennedy Isbister - 1865
...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 - 396 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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