 | Robert Simson - 1806 - 546 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 - 522 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....Let A : B :: C : D; then inversely B : A:: D : C. For the extreme and mean terms are thus only mutually interchanged, and consequently the same equality... | |
 | Euclid - 1810 - 554 Seiten
...5th book. XIV. luvertendo, 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 - 1811 - 524 Seiten
...mean tglSns--^pn this principle, is founded the two following theorems. •.- IT -T .'*: .•-.,,,; PROP. VII. THEOR. The terms of an analogy are proportional...Let A : B : : C : D; then inversely B : A : : D : C. For the extreme and mean terms are thus only mutually interchanged, and consequently the same equality... | |
 | John Mason Good - 1813 - 714 Seiten
...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 - 1814 - 560 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,... | |
 | John Playfair - 1819 - 350 Seiten
...this Book. XV. luvertendo, 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,... | |
 | John Playfair - 1819 - 354 Seiten
...this Book. XV. 'nvertendo, 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 - 1821 - 514 Seiten
...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 porportionals, and it is inferred,... | |
 | Euclides - 1821 - 294 Seiten
...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... | |
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founded the 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. 
