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" Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides. "
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Page 329
by Euclid, Robert Simson - 1821 - 516 pages
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Instructions Given in the Drawing School Established by the Dublin Society ...

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,...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
...fame whh the ratios of the fides. And to this demonftration agrees the enunciation which is at prefent in the text, viz. Equiangular parallelograms have...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,"...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pages
...with the ratios of the fides. And to this demonftration agrees the enunciation which is at prefent in the text, viz. Equiangular parallelograms have...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,"...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, 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...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

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...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...with the ratios of the fides. and to this Demonftration agrees the Enuntiation which is at prefent in the text, viz. equiangular parallelograms have...the ratio which is compounded of the ratios of the fides. for the vulgar reading " which is com«« pounded of their fides" is abfurd. But in this Edition...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

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...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 350 pages
...equal to GH, AB is to CD, as EF to GH. If therefore four straight lines, &c. Q, ED PROP. XXIII. THEOR. 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 ;...
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