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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: Also the Book of Euclid's Data ...cor. viz. The ... - Side 323
av Robert Simson - 1804
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 466 sider
...in the text, viz. equian-" gular parallelograms have to one another the ratio which is comj pounded of the ratios of the fides. for the vulgar reading " which " is compounded of their fides" is abfurd. But in this Edition we hare kept the Demonftration which is in...
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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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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 520 sider
...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,"...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 520 sider
...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,"...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1781 - 466 sider
...to CD, as EF to GH. If therefore four ftraight lines, &c. (^ ED PROP. XXIII. THEO R. QJJ I ANGULAR parallelograms have to one another the ratio which is compounded of the ratios of their fides, Let AC, CF be equiangular par.illelograms, having the angle BCD equal to the an^le ECG....
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - 1795 - 400 sider
...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 - 1799 - 351 sider
...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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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1804 - 440 sider
...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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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 518 sider
...; 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 ratio which is compounded of the ratios of their sides. Let AC Ci; be equiangular parallelograms, having the angle BCD equal to the angle ECG:...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volum 5

John Mason Good - 1813
...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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