| Joseph Fenn - Mathematics - 1769 - 524 pages
...to be demonstrated. F f D PROPOSITION XXIII. THEOREM XVII. flj Q_U IANGULAR parallelograms (M & N) **have to one another the ratio which is compounded of the ratios of** their fides (AC, CD & EC, CG) about the equal angles. Hypothefis. Thefis. The pKrs. M У N are equiangular,... | |
| Robert Simson - Trigonometry - 1775 - 534 pages
...ratios that are the fame whh the ratios of the fides. And to this demonftration agrees the enunciation **which is at prefent in the text, viz. Equiangular...to one another the ratio which is compounded of the** H : VI. Book VI. the ratios of the fides : For the vulgar reading, " which is compounded of their fides,"... | |
| Euclid - 1781 - 552 pages
...ratios that are the fame with the ratios of the fides. And to this demonftration agrees the enunciation **which is at prefent in the text, viz. Equiangular...to one another the ratio which is compounded of the** G Book VI. the ratios of the fide* : For the vulgar readinp, " which is " pounded of their fides,"... | |
| John Playfair - Euclid's Elements - 1795 - 462 pages
...CD, as EF to GH. If therefore four ftraight lines, &•(:. Q^ED ' . . " • ' PROP. XXIII. THEO R. **EQUIANGULAR parallelograms have to one another the ratio which is compounded of the ratios of** their fides. Let AC, CF be equiangular parallelograms, having the angle BCD equal to the angle ECG... | |
| Alexander Ingram - Trigonometry - 1799 - 374 pages
...equal to GH ; AB is to CD, as EF t« GH. If therefore four ftraight lines, &c. Q^ED PROP. XXIII. THEOR. **EQUIANGULAR parallelograms have to one another the ratio which is compounded of the ratios of** their fides. Let AC, CF be equiangular parallelograms, having the angle BCD equal to the angle ECG... | |
| Robert Simson - Trigonometry - 1804 - 528 pages
...to the pa- ^ rallelogram CH, as the ftraight line BC _ to CG; and the parallelogram CH is to •*-* **CF, as the ftraight line CD is to CE; therefore the...fides" is abfurd. But in this Edition we have kept the** Demonftration which is in the Greek text, tho' not fo fhort as Candalla's ; becaufe the way of finding... | |
| John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...toGH, AB is to CD. as EF to GH. If therefore four flraight lines, gtc. QED PR Or. PROP. XXIII. THEO R. **parallelograms have to one another the ratio which is compounded of the ratios of** their fides. a i4. i. b n. 6. Let AC, CF "be equiangular parallelograms, having the angle BCD equal... | |
| John Mason Good - 1813 - 714 pages
...those straight lines shall be proportionals. Prop. XXIII. Theor. Equiangular parallelograms li. и f **to one another the ratio which is compounded of the ratios of** their sides. Prop. XXIV. Theor. The parallelograms about the diameter of any parallelogram, are similar... | |
| Euclides - 1816 - 592 pages
...GH ; AB is to CD, as EF to GH. If therefore four straight lines, &c. QED PROP. XXIII. THEOR. Sec N. **EQUIANGULAR parallelograms have to one another the ratio which is compounded of the ratios of** their sides. Let AC, CF be equiangular parallelograms, having the angle BCD equal to the angle ECG... | |
| John Mason Good - 1819 - 800 pages
...four straight lines be proportionals, those straight lines shall be proportionals. Prop. XXIII. Theor. **Equiangular parallelograms have to one another the ratio which is compounded of the ratios of** their sides. Prop. XXIV. Theor. The parallelograms about the diameter of any parallelogram, are similar... | |
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