| Euclid, James Thomson - 1845 - 352 Seiten
...ABC, DEF are equiangular : wherefore, if the sides, &c. PROP. VI. THEOR. — 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 remaining angles are equal, each to each, viz.... | |
| Euclides - 1845
...(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 reciprocally proportional: and conversely, triangles which... | |
| Euclid - 1845 - 199 Seiten
...proportional DB is found. Which was to be done. PROPOSITION XIV. 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 parallelograms that have one... | |
| Scottish school-book assoc - 1845
...and second terms AABD, we have AABC : ADBE=AB'BC : DB-BE, (Alg. 116) Cor. Parallelograms which have **one angle of the one equal to one angle of the other,** are to one another in the ratio which is compounded of the ratios of the sides about the equal angles.... | |
| Euclid, John Playfair - 1846 - 317 Seiten
...angles reciprocally proportional ; And triangles which have one angle in the one equal to one angle t'a **the other, and their sides about the equal angles...reciprocally proportional, are equal to one another.** Let ABC, ADE be equal triangles, which have the angle BAC equal to the angle DAE : the sides about... | |
| Euclides - 1846
...therefore ex oequali, BD will be to CG, as I to L (by Prop. 33, B. 5). COR. 2. — Triangles which have **one angle of the one equal to one angle of the other,** are to each other in a ratio compounded of the ratios of the sides about the equal angles. COR. 3.... | |
| Euclides - 1846
...a mean proportional DB has been found. O..E. p. PROP. XIV. 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 parallelograms, which have... | |
| Harvey Goodwin (bp. of Carlisle.) - 1847 - 80 Seiten
...than the sum of the two sides by the diameter of the inscribed circle. 23. If two triangles have an **angle of the one equal to one angle of the other, and** also another angle of the one equal to the supplement of another angle of the other, the sides about... | |
| Bengal (India) - 1848
...of the tests of the former. 2. Give a proof of the following proposition : " If two triangles have **one angle of the one equal to one angle of the other, and** the sides about two other angles proportionals ; then, if each of the remaining angles be either less,... | |
| Bengal council of educ - 1848
...of the tests of the former. 2. Give a proof of the following proposition : " If two triangles have **one angle of the one equal to one angle of the other, and** the sides about two other angles proportionals ; then, if each of the remaining angles be either less,... | |
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