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If two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportionals, the triangles shall be equiangular, and shall have those angles equal which are opposite to the homologous sides.
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Σελίδα 161
των Euclid - 1810 - 518 σελίδες
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## The Elements of Euclid: With Dissertations Intended to Assist and Encourage ...

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...equal to EDF ; therefore the remaining angle at B is equal to the remaining angle at E : wherefore the triangle ABC is equiangular to the triangle DEF. Wherefore if two triangles have one angle equal to one angle, and the fides about the equal angles proportionals : the triangles...

## The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 550 σελίδες
...For the fame reafon, the angle ACB is equal to the angle DFE, and the angle at A to the angle at D. Therefore the triangle ABC is equiangular to the triangle DEF. Wherefore, if t,he fides, &c. QED PROP. « Book VC. PRO P. VI. THEO R. TF two triangles have one angle of the one...

## Euclid's Elements of Geometry: From the Latin Translation of Commandine, to ...

John Keill - 1782 - 399 σελίδες
...Angle of the other, have the Sides *ibout the equal Angles reciprocal; and tbofe Parallelograms that have one Angle of the one equal to one Angle of the other, and the Sides that are about the equal Angles reciprO' tal, are equal. TETAB, BC, be equal Parallelograms, having...

## Elements of Geometry: Containing the Principal Propositions in the First Six ...

Euclid - 1789 - 296 σελίδες
...DEF will be equiangular with the triangle AGH (I. 7.) or ABC, as was to be fhewn. PROP. VI. THEOREM. If two triangles have one angle of the one equal to one angle of the other, and the fides about the equal angles proportional, the triangles will be equiangular. Let ABC, DEF be two triangles,...

## Elements of Geometry: Containing the First Six Books of Euclid, with Two ...

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...an(i the angle BAC is equal to the angle EDFg ; wherefore alfo the remaining angle at B is equal to the remaining, angle at E. Therefore the triangle...the triangle DEF. Wherefore, if two triangles, &c. Q^ E. D f PROF. PROP. VII. THEO R. IF two triangles have one angle of the one equal to one angle of...

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

Alexander Ingram - 1799 - 351 σελίδες
...For the fame reafon, the angle ACB is equal to the angle DFE, and the angle at A to the angle at D. Therefore the triangle ABC is equiangular to the triangle DEF. Wherefore, if the fides, Sac. Q^ED PROP. BooK VI. PROP. VI. THEOR. v^v^ IF two triangles have one angle of the one...

## Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

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...For the fame reafon, the angle ACB is equal to the angle DFE, and the angle at A to the angle at D. Therefore the triangle ABC is equiangular to the triangle DEF. Wherefore, if the fides, &c. <ED b 32. i. c4.<f. fS. I. S4-i' PROP. VI. THEOR. IF two triangles have one angle of...

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

Robert Simson - 1804
...for the fame reafon, the angle ACB is equal to the angle DFE, and the angle at A to the angle at D. Therefore the triangle ABC is equiangular to the triangle DEF. Wherefore if the fides, &c. C^E. JJ, a. 33, PROP. VI. THEOR. IF two triangles have one angle of the one eqoal to...

## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

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...DFE ; also the angle BAC is equal to the angle EDFS; wherefore the remaining angle at B is equal"3 to the remaining angle at E. Therefore the triangle ABC...Wherefore, if two triangles, &c. QED PROP. VII. THEOR. Book vi. IF two triangles have one angle of one equal to one angle of the other, and the sides about...

## Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Τόμος 5

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...a mean proportional between two given straight lines. Prop. XIV. Theor. Equal parallelograms which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proport ional : and parallelograms that have one...