 | John Playfair - 1806 - 320 σελίδες
...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 - 1806 - 546 σελίδες
...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 - 542 σελίδες
...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 - 1813 - 714 σελίδες
...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 σελίδες
...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 σελίδες
...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 - 294 σελίδες
...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 - 508 σελίδες
...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 σελίδες
...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 - 704 σελίδες
...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... | |
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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. 
