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Boeken Boek 21 - 30 van 189 over Two triangles, which have an angle of the one equal to an angle of the other, and....
" Two triangles, which have an angle of the one equal to an angle of the other, and the sides containing those angles proportional, are similar. "
The Elements of geometry; or, The first six books, with the eleventh and ... - Pagina 143
door Euclides - 1855
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Euclid's Elements of plane geometry [book 1-6] with explanatory appendix ...

Euclides - 1840
...an angle (BAD) of the other, have the sides about the equal angles reciprocally proportional : and, triangles which have an angle of the one equal to an angle of the other, and the sides about the equal angles reciprocally proportional, are equal. Let the triangles be so...
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The figures of Euclid with the enunciations, as printed in Euclid's Elements ...

Euclides - 1840
...equal to an angle of the other, have the sides about the equal angles reciprocally proportional : and triangles which have an angle of the one equal to an angle of the other, and the sides about the equal angles reciprocally proportional, are equal. PROP. XVI. THEOR. If four...
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Elements of geometry

Adrien Marie Legendre - 1841 - 235 pagina’s
...triangles. Thus the general properties of triangles involve those of all figures. THEOREM. 208. Two triangles, which have an angle of the one equal to an angle of the other, and the sides about these angles proportional, are similar. fig. 122. Demonstration. Let the angle...
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Elements of Plane Geometry: For the Use of Schools

Nicholas Tillinghast - 1844 - 96 pagina’s
...with ABC ; and therefore (by the Corollary to the last Proposition) similar. PROP. XVII. THEOREM. Two triangles, which have an angle of the one equal to an angle of the other, and the sides about the equal angles proportional, are similar. In the triangles ABC, DEF, let the...
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The first six and the eleventh and twelfth books of Euclid's Elements; with ...

James Thomson - 1845 - 358 pagina’s
...AB is equal to the parallelogram BC. Therefore equal parallelograms, &c. PROP. XV. THEOR. — Equal triangles which have an angle of the one equal to an angle of the other, have their sides about those angles reciprocally proportional : and (2) triangles which have an angle...
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Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

1845
...properties of triangles include, by implication, those of all figures. FROPOSITION XIX. THEOREM.Two triangles, which have an angle of the one equal to an angle of tlie other, and the sides containing those angles proportional, are similar, In the two triangles ABC,...
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Euclid's Elements of geometry, the first three books (the fourth, fifth, and ...

Euclides - 1846
...right, since they are equal to these right angles (by Prop. 34.) CoR. 2. — If two parallelograms have an angle of the one equal to an angle of the other, the remaining angles will be also equal ; for the angles which are opposite to these equal angles are...
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Elements of Geometry: With Practical Applications ...

George Roberts Perkins - 1847 - 308 pagina’s
...must also be proportional to the sides GH, HK ,( B. IV, Def. 3). Therefore the two triangles ABC, GHK have an angle of the one equal to an angle of the other, and the sides about those angles proportional, and consequently these triangles are similar ; and being...
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Elements of Geometry, Theoretical and Practical: Containing a Full ...

George Clinton Whitlock - 1848 - 324 pagina’s
...Trapezoid— -consequences, measures, parallelogram, triangle, comparisons, equalities 92 3. Triangles having an angle of the one equal to an angle of the other — consequence • 93 4. Exercises.... 94 BOOK THIRD. PLANE GEOMETRY DEPENDING ON THE CIRCLE, ELLIPSE,...
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Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - 1849 - 359 pagina’s
...properties of triangles include, by implication, those of all figures. PROPOSITION XX. THEOREM. Two triangles, which have an angle of the one equal to an angle of the other, and the sides containing those angles proportional, are similar. In the two triangles ABC, DEF, let...
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