 | Euclides - 1855 - 270 pages
...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... | |
 | Euclides - 1855 - 230 pages
...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... | |
 | Eucleides - 1860 - 396 pages
...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 - Geometry, Plane - 1860 - 380 pages
...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 pages
...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 - Geometry, Algebraic - 1862 - 104 pages
...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 pages
...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... | |
 | Horatio Nelson Robinson - Algebra - 1864 - 444 pages
...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 - 1864 - 448 pages
...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... | |
 | Euclides - 1865 - 402 pages
...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... | |
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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. 
