| Euclides - 1864 - 448 pages
...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... | |
| Euclides - 1865 - 402 pages
...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 pages
...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 - Mathematics - 1866 - 426 pages
...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 - Euclid's Elements - 1867 - 426 pages
...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 - Euclid's Elements - 1867 - 424 pages
...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 - Geometry - 1868 - 150 pages
...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 pages
...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 - Euclid's Elements - 1880 - 426 pages
...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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