| Robert Simson - 1806 - 546 pages
...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,... | |
| John Playfair - 1806 - 320 pages
...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,... | |
| John Mason Good - 1813 - 714 pages
...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 - 588 pages
...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 - 354 pages
...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,... | |
| Sir John Leslie - 1820 - 488 pages
...by transposing or interchanging its extreme and mean terms.— On this principle are founded the twp **following theorems. PROP. VII. THEOR. The terms of...consequently the same equality of products AD and BC** (V. 2.) still obtains. PROP. VIII. THEOR. Numbers are proportional by alternation, or the first is... | |
| Sir John Leslie - 1820 - 482 pages
...following theorems. i > PROP. VII. THEOR. I f ! The terms of an analogy are proportional by inversiont **or the second is to the first, as the fourth to the third,,.** .. , ..i .,; .. ,,.', i , „ ..... .1. i Let A : B : : C : D ; then inversely B 1 A ': It) : (X For... | |
| Euclides - 1821 - 294 pages
...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... | |
| Euclid - 1822 - 222 pages
...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... | |
| Rev. John Allen - 1822 - 508 pages
...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... | |
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