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" If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar. "
The first six books of the Elements of Euclid, with numerous exercises - Σελίδα 126
των Euclides - 1853 - 147 σελίδες
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The First Six Books: Together with the Eleventh and Twelfth

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...other, have their fides about the equal angles reciprocally proportional : And parallelograms that have one angle of the one equal to one angle of the other, and their fides about the equal angles reciprocally proportional, are equal to one anther. Let AB,...

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

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...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...

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

Euclid, John Playfair - 1795 - 400 σελίδες
...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 other, and the fides about two other angles proportionals, then, if each of the remaining angles be either...

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

Alexander Ingram - 1799 - 351 σελίδες
...other, have their fides about the equal angles reciprocally proportional : And parallelograms that have one angle of the one equal to one angle of the other, and their fides about the equal angles reciprocally proportional, are equal to one another. Let AB,...

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

Euclid, John Playfair - 1804 - 440 σελίδες
...to one angle of the other, have their fides about the equal angles reciprocally proportional :. And parallelograms Which have one angle of the one equal to one angle of the other, and their fides about the equal angles reciprocally proportional, are equal to one another. Let AB,...

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

Robert Simson - 1804
...the other, have their fides about the equal angles reciprocally proportional. and parallelograms that have one angle of the one equal to one angle of the other, and their fides about the .equal angles reciprocally proportional, are equal to one another. Let AB,...

The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 518 σελίδες
...parallelogram BC. Therefore, equal parallelograms, &c. Q. E« D. • Book VI. PROP. XV. THEOR. EQUAL triangles which have one angle of the one equal to one angle...about the equal angles reciprocally proportional : and triangles which have one angle in the one equal to one angle in the other, and their sides about the...

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

John Playfair - 1806 - 311 σελίδες
...Therefore, equal parallelograms, &c. QED PROP. XV. THEOR. EQUAL triangles, which have one angle of one equal to one angle of the other, have their sides...about the equal angles reciprocally proportional ; and triangles which have one angle in one equal to one angle in the other, and their sides about the equal...

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

John Mason Good - 1813
...other, have their sides about the equal angles reciprocally proport ional : and parallelograms that have one angle of the one equal to one angle of the other, and their sides about tbe equal angles reciprocally proportional, are equal to one another. to the...

An Easy Introduction to the Mathematics: In which the Theory and ..., Τόμος 2

Charles Butler - 1814
...: ai=the square of the product, wherefore ^/afc=the product. 234. Prop. 23. Hence, if two triangles have one angle of the one equal to one angle of the other, they will have to each other the ratio compounded of the ratios of the sides about their equal angles;...




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