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" Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides. "
Mathematical Exercises ...: Examples in Pure Mathematics, Statics, Dynamics ... - Strona 78
autor: Samuel H. Winter - 1877 - Liczba stron: 413
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Instructions Given in the Drawing School Established by the Dublin Society ...

Joseph Fenn - 1769 - Liczba stron: 524
...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 - Liczba stron: 534
...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 - 1781 - Liczba stron: 534
...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 - Liczba stron: 552
...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 - 1795 - Liczba stron: 462
...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 - 1799 - Liczba stron: 374
...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 - 1804 - Liczba stron: 530
...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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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Tom 5

John Mason Good - 1813 - Liczba stron: 714
...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 to...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - Liczba stron: 560
...is to CD, as EF to Gil If therefore four straight lines, &c. QED PROP. XXIII. THEOR. . EQUIANGULAR parallelograms have to one another the ratio which is compounded of the ratios ot their sides. / Let AC, CF be equiangular parallelograms, having the angle BCD equal to the angle...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - Liczba stron: 588
...And to this demonstration agrees the enunciation which is at present in the text, viz. equiangular parallelograms have to one another the ratio which is compounded of the ratios of the sides ; for the vulgar reading, " which is compounded of their sides," is absurd. But, in this...
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