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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 Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ... - Σελίδα 163
των Robert Simson - 1804
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Elements of Geometry: Containing the Principal Propositions in the First Six ...

Euclid - 1789 - 272 σελίδες
...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
...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: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 518 σελίδες
...parallelogram e 9. S. AB is equal • to the parallelogram BC. Therefore, equal parallelograms, &c. Q. E« D. • Book VI. PROP. XV. THEOR. EQUAL triangles which...the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional : and triangles which have one angle in the...

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

Euclid - 1810 - 518 σελίδες
...parallelogram e 9. 5. AB is equal' to the parallelogram BC. Therefore, equal parallelograms, &c. QED PROP. XV. THEOR. EQUAL triangles, which have one angle...the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional : and triangles which have one angle in the...

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...

The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814
...to BE, so GB to BF ; the parallelogram AB is equal to the parallelogram BC. PROP. XV. THEOR. EQUAI . triangles which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional: And triangles which have one angle in the one...

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;...

A Treatise on Spherics: Comprising the Elements of Spherical Geometry, and ...

Daniel Cresswell - 1816 - 294 σελίδες
...BA is equal to FE, and the angle ABC to EFG. PROP. XIX. (114.) Theorem. If two spherical triangles have one angle of the one equal to one angle of the other, and have also the two sides about another angle in each severally equal, and if the third angle, in...




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