 | Euclides - 1864 - 448 σελίδες
...EC. (v. 9.) Therefore equal parallelograms, &c. QED PROPOSITION XV. THEOREM. Equal triangles which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocallg proportional : and converselg, triangles which... | |
 | Simon Somerville Laurie - 1865 - 432 σελίδες
...angles." ft. To inscribe an equilateral and equiangular pentagon in a given circle. 0. If two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proper tionals, the triangles shall be equiangular. 7. Similar polygons... | |
 | Euclides - 1865 - 402 σελίδες
...the equal angles reciprocally proportional, are equal to one another. Prop. 15. Equal 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 conversely, triangles which... | |
 | Robert Potts - 1865 - 528 σελίδες
...lines AB, BC, & mean proportional DB is iound. QBF PROPOSITION XIV. THEOREM. Equal parallelograms which have one angle of the one equal to one angle of the other, hate their sides about the equal angles reciprocally proportional: and conversely, parallelograms that... | |
 | James Robert Christie - 1866 - 428 σελίδες
...of the other, have their sides about the equal angles reciprocally proportional; and triangles which have one angle of the one equal to one angle of the other, and their sides about the equal angles reciprocally proportional, are equal. 6. The circumferences of circles... | |
 | Euclid, Isaac Todhunter - 1867 - 426 σελίδες
...and shall have those angles equal about which the sides are proportionals. Let the triangles ABC, DEF have one angle of the one equal to one angle of the other, namely, the angle BA C equal to the angle EDF, and the sides about two other angles ABC, DEF, proportionals,... | |
 | Euclid, Isaac Todhunter - 1867 - 424 σελίδες
...Hence the result may be extended to triangle?, and we hava the following theorem, triangles which, ham one angle of the one equal to one angle of the other, have to one another the ratio which is compounded of the ratios of their sides. Then VI. 19 is an immediate... | |
 | James Maurice Wilson - 1868 - 150 σελίδες
...of a pair of corresponding sides involves the identity of the triangles. THEOREM 7. If two triangles have one angle of the one equal to one angle of the other; and the sides about the equal angles proportionals, then will the triangles be similar. Let the triangles... | |
 | Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 σελίδες
...the segments BG, GD, GC of the base shall be in harmonical proportion. 12. Equal parallelograms which have one angle of the one equal to one angle of the other have their sides about the equal angles reciprocally proportional. ALGEBRA. 1. Prove that se и х... | |
 | Isaac Todhunter - 1880 - 426 σελίδες
...parallelogram BC. [V. 9. Wherefore, equal parallelograms &c. QED PROPOSITION 16. THEOREM. Equal 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... | |
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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. 
