If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz. Elements of Geometry - Page 40by George Albert Wentworth - 1881 - 250 pagesFull view - About this book
| Tiberius Cavallo - Aeronautics - 1803 - 638 pages
...die angle FGD is equal to the angle CGD; whence it follows, that the triangles DGC and DGF, Tiaving **two angles of the one equal to two angles of the other,** and a correfpondent fide, viz. DG, common, are equal in every refpect J ; * It is ufelefs to take notice... | |
| Robert Simson - Trigonometry - 1804 - 530 pages
...bifefted by BD, and that the right angle BED is equal to the right angle BFD, the two triangles EBD, FED **have two angles of the one equal to two angles of the other,** and the fide BD,' which is oppofite to cme of the TJ -Tf |N| eq*MfiB(fcgles in each, is common*"^ *... | |
| John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...by BD ; and becaufe the right angle BED is equal to the right angle BFD, the two triangles EBD, FBD **have two angles of the one equal to two angles of the other** ; and the fide BD, Which is oppofite to one of the equal angles in each, is common to both; therefore... | |
| Charles Butler - Mathematics - 1814 - 528 pages
...(viz. at D,) and the angles ABD, CAD equal ', and also the side AD common ; these triangles therefore **have two angles of the one equal to two angles of the other,** each to each, but the common side AD not lying either between given, or opposite equal angles, the... | |
| Encyclopedias and dictionaries - 1816 - 764 pages
...oppofite angles. COR. ». Any two angles of a triangle are together lefs than two right angles. COR. 3. **If two triangles have two angles of the one equal to two angles of the other, the** remaining angle of the one is equal to the remaining angle of the other, COR. 4. The two acute angles... | |
| Encyclopaedia Perthensis - 1816 - 772 pages
...oppofite angles. Con. i. Any two angles of a triangle are together lefi than two right angles. COR. 3. **If two triangles have two angles of the one equal to two angles of the other, the** remaining angle of the one is equal to the remaining angle of the other. Coa. 4. The two acute angles... | |
| Daniel Cresswell - Geometry - 1816 - 352 pages
...Elements is deduced from the twenty-fourth of that book. PROP. XVIII. (113.) Theorem. If two spherical **triangles have two angles of the one equal to two angles of the other,** each to each, and one side equal to one side, namely, the sides opposite to equal angles in each, and... | |
| Euclides - 1816 - 588 pages
...by BD, and that the right angle BED is equal to the right angle BFD, the two triangles • EBD, FED **have two angles of the one equal to two angles of the other,** and the side BD, which is opposite to one of the equal angles in each, is common to both ; therefore... | |
| Daniel Cresswell - Euclid's Elements - 1817 - 454 pages
...straight line drawn from the vertex to the base, bisecting the vertical angle. PROP. XXXII. . • (xxvi.) **If two triangles have two angles of the one equal to two angles of the other, the third** angle of the one shall also be equal to the third angle of the other. (XXVII.) The angle at the base... | |
| John Playfair - Circle-squaring - 1819 - 350 pages
...the angle BAC is greater than the angle EDF. Wherefore, if tw» triangles, &c. QED PROP. XXVI. THEOR. **If two triangles have two angles of the one equal to two angles of the other,** each to each ; and one side equal to one side, viz. either the sides adjacent to the equal angles,... | |
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