| John Playfair - Mathematics - 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,... | |
| Robert Simson - Trigonometry - 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,... | |
| Sir John Leslie - Geometry, Plane - 1809 - 522 pages
...two following theorems. PROP. VII. THEOR. The terms of an analogy are proportional by inversion, or the second is to the first as the fourth to the third. Let A : B :: C : D; then inversely B : A:: D : C. For the extreme and mean terms are thus only mutually interchanged, and... | |
| 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 - Geometry, Plane - 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... | |
| Rev. John Allen - Astronomy - 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... | |
| 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... | |
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