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" Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides. "
Proceedings of the Edinburgh Mathematical Society - Page 2
by Edinburgh Mathematical Society - 1900
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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
...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 Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1781 - 534 pages
...of the fides. and to this Demonftration agrees the Enuntiation which is at prefent in the text, viz. equiangular parallelograms have to one another 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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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pages
...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 : the...
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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 : The...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...of the fides. and to this Demonftration agrees the Enuntiation which is at prefent in the text, viz. equiangular parallelograms have to one another 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...
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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 to the...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...CD, as EF to GH. Therefore, if four straight lines, &c. QED A BC D K N PROP. XXIII. THEOR. Book VI. EQUIANGULAR parallelograms have to one another the...which is compounded of the ratios of their sides. Let AC, CF be equiangular parallelograms, having the angle BCD equal to the angle ECG; the ratio of the...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...; AB is to CD, as EF to GH, If, therefore, four straight lines, &c. QED PROP. XXIII. THEOR. s«eN. EQUIANGULAR parallelograms have to one another the...which is compounded of the ratios of their sides. Let AC Ci; be equiangular parallelograms, having the angle BCD equal to the angle ECG: the ratio of the...
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