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" 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 : the ratio of the parallelogram AC to the parallelogram... "
The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick - Seite 128
von Royal Military Academy, Woolwich - 1853
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

Euclid, John Keill - 1723 - 442 Seiten
...Equiangular Parallelograms have the Proportion to me another that is compounded of their Sides. T ET AC, CF, be equiangular Parallelograms, *** having the Angle BCD equal to the Angle ECG. I fay, the Parallelogram AC, to the Parallelogram CF, is in the Proportion compounded of their Sides,...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 466 Seiten
...parallelograms have to one another *-* the their fides. t ^"^ ' the ratio which is . compounded of the ratios of Let AC, CF be equiangular parallelograms, having the...parallelogram AC to the parallelogram CF , is the fame with the ratio which is compounded of the ratios of their fides. Lrt Let BC, CG be placed in a...
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Instructions Given in the Drawing School Established by the Dublin Society ...

Joseph Fenn - 1769
...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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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - 1772 - 462 Seiten
...Equiangular Parallelograms b*ve tbe Proportion to one another tbat is compounded of their Sides. , : , TETAC, CF, be equiangular Parallelograms, •^ having the Angle BCD equal to the Angle EC G. I fay, the Parallelogram AC to the Parallelogram CF, is in the Proportion compounded of their...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 520 Seiten
...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: In which the Propositions are Demonstrated in a New ...

Euclid - 1776 - 324 Seiten
...QJJ I ANG UL AR parallelograms have the proportion to one another that is compounded of their fides. Let AC, CF, be equiangular parallelograms, having the angle BCD equal to the angle ECG ; then the parallelogram AC, to the parallelogram CF, is in the proportion compounded of their fides,...
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The Elements of Euclid,: In which the Propositions are Demonstrated in a New ...

Euclid - 1776 - 318 Seiten
...R. QJJ 1 ANG ULAR parallelograms have the proportion one another that is compounded of their Jides. Let AC, CF, be equiangular parallelograms, having the angle BCD equal to the angle ECG ; then the parallelogram AC, to the parallelogram CF, is in the proportion compounded of their fides,...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1781 - 466 Seiten
...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 Elements of Euclid: With Dissertations Intended to Assist and Encourage ...

Euclid, James Williamson - 1781 - 324 Seiten
...XXIII. Equiangular parallelograms have to one another the ratio compounded of the ratios of their fides. Let AC, CF be equiangular parallelograms, having the angle BCD equal to the angle ECG : I fay that the parallelogram AC * G 2 has Book vi. has to the parallelogram CF the ratio compounded...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 550 Seiten
...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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