| John Playfair - 1806 - 311 Seiten
...this book. XV. 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. A. book 5. XVI. Componendo, by composition : when there are four proportionals, and it is inferred,... | |
| Euclid, Robert Simson - 1806 - 518 Seiten
...5th 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 5. XV. Componendo, by composition ; when there are four proportionals, and it is inferred,... | |
| Sir John Leslie - 1809 - 493 Seiten
...is not affected, by transposing or interchanging its extreme and mean terms. On this principle, is **founded the two following theorems. PROP. VII. THEOR....and BC still obtains. PROP. VIII. THEOR. Numbers are** likewise proportional by alternation, or the first is to the third as the second to the fourth. Let... | |
| John Mason Good, Olinthus Gilbert Gregory - 1813
...Book V. 14. Invertendo, by inversion: when there are four proportionals, and it is inferred, tliat **the se-cond is to the first, as the fourth to the third.** Prop. B. Book V. 15. Componendo, by composition, »hen there are four proportional», and it is inferred,... | |
| Euclides - 1816 - 528 Seiten
...5th 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 5. XV. Componendo, by composition; when there are four proportionals, and it is ini'erred,... | |
| John Playfair - 1819 - 317 Seiten
...this Book. XV. 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. A. Book 5. XVI. C.omponendo, by composition : When there are four proportionals, and it is inferred,... | |
| Euclides - 1821
...the 5th Book. 15. By invertendo ; when it is concluded that if there be four magnitudes proportional, **the second is to the first as the fourth to the third.** Note. Here the antecedent is made consequent, and the consequent antecedent. If A : B : : C : D then... | |
| Rev. John Allen - 1822 - 494 Seiten
...16 prop, of t.his book. 17- Inverting; when it is inferred, if four magnitudes be proportional, that **the second is to the first, as the fourth to the third** ; as is shewn in Thcor. 3 at 15th of this book18. Compounding; when it is inferred, if four magnitudes... | |
| Euclid - 1822 - 179 Seiten
...proved in Prop. 33. B. 5. 15. By inversion, when we inter that if there be four magnitudes proportional, **the second is to the first as the fourth to the third.** Prop. 20. 16. By composition, when we infer that if there be four magnitudes proportional, the sum... | |
| George Crabb - 1823
...to C, fig. 32, being the same as B to D, the proportion is alternate. — Inverse proportion is when **the second is to the first as the fourth to the third,** ie B to A as D to C. — Compound proportion is when the first, together with the second, is to the... | |
| |