 | Euclides - 1861 - Liczba stron: 464
...13,I. 3 D. 2. 4 20, Ш. 5 6 26, III. 7 8 Cone. PROP. 14. — 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 proportional; and conversely, parallelograms that... | |
 | 1868 - Liczba stron: 276
...the point P to the points A and B cut a line in the points a, /3. The areas of triangles which have 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 the sides. Applying this to the... | |
 | Robert Potts - 1863 - Liczba stron: 482
...produced. Also describe a circle touching three sides of a parallelogram. 6. 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, triangle shall be equiangular, and shall have... | |
 | Euclides - 1864 - Liczba stron: 448
...(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 - Liczba stron: 432
...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... | |
 | Robert Potts - 1865 - Liczba stron: 528
...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... | |
 | Euclides - 1865 - Liczba stron: 402
...BO. (v. 9.) Therefore equal parallelograms, &c. QED PROP. 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 reciprocally proportional ; and conversely, triangles which... | |
 | Isaac Todhunter - 1880 - Liczba stron: 426
...Hence the result may be extended to triangles, and we have the following theorem, triangles which have one angle of the one equal to one angle of the other, have to one another the ratio which it compounded of the ratios of their tides. Then VI. 19 is an immediate... | |
 | Woolwich roy. military acad, Walter Ferrier Austin - 1880 - Liczba stron: 190
...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... | |
 | 1883 - Liczba stron: 536
...other, have their sides about the equal angels reciprocally proportional ; and triangles which have one angle of the one equal to one angle of the other,...reciprocally proportional, are equal to one another. 15. If two straight lines be at right angles to the same plane, they shall be parallel to one another.... | |
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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. 
