| Euclid, John Playfair - Geometry - 1853 - 317 pages
...the equal angles ^or the sides opposite to the equal angles in each ; then shall the other sidefbe **equal, each to each ; and also the third angle of the one to the third angle of the other.** Let ABC, DEF be two triangles which have the angles ABC, BCA equal to the angles DEF, EFD, viz. ABC... | |
| Euclides - 1855
...adjacent to the equal angles, or the sides opposite to equal angles in each ¡then their other sides are **equal, each to each, and also the third angle of the one to the third angle of the other.** Let ABС, D EF be two triangles which havs the two angles ABС, BСA of the one, equal to the two angles... | |
| Robert Potts - 1855
...one side, viz. either the sides adjacent to the equal angles in each, or the sides opposite to them, **then shall the other sides be equal each to each, and also the third angle of the one** equal to the third angle of the other. The vertical angle and the sum of the sides of a plane triangle... | |
| Mathematics - 1866
...have one side equal to one side, and have likewise the two angles adjacent to this side equal, each to **each, then shall the other sides be equal, each to each, and also the third angle** contained by the two sides of the one shall be equal to the third angle of the other triangle. Have... | |
| Cambridge univ, exam. papers - 1856
...one equal to two angles of the other, each to each, and one si ie equal to one side, via. the sides **opposite to equal angles in each, then shall the other...each to each, and also the third angle of the one** equal to the third angle of the other. The perpendiculars let fall on two sides of a triangle, from... | |
| Elias Loomis - Conic sections - 1857 - 226 pages
...equal angles, common to the two triangles ; therefore their other sides are equal, each to each, and **the third angle of the one to the third angle of the** othei (Prop. VII.), vh. the side AB to the side CD, and AC to BD, and the angle BAC equal to the angle... | |
| Euclides - 1858
...one side, viz., either the sides adjacent to the equal angles in each, or the sides opposite to them, **then shall the other sides be equal, each to each,...angle of the one to the third angle of the other.** CONSTRUCTION. — P. 3. From the greater of two lines to cut off a part equal to the less. Pst. 1.... | |
| Euclides - 1868 - 88 pages
...the sides adjacent to the equal angles in each, or the sides oj to them, then shall the other sidet **be equal, each to each, and also the third angle of the one to the** 46 РRoP. XXVI. angle of the other. CON. P. 3. Pst. 1. • DEM. P. 4. Ax. 1. P. 16. Hyp. 1. „ 2.... | |
| Elias Loomis - Conic sections - 1858 - 234 pages
...other, each to each, the two triangles will be equal, the other sides will be equal, each to each, and **the third angle of the one to the third angle of the other.** Let ABC, DEF be two triangles having the angle B equal to E, the angle C equal to F, and the included... | |
| Sandhurst roy. military coll - 1859 - 1869 pages
...side equal to one side, namely, either the sides adjacent to the equal angles, or the sides which are **opposite to equal angles in each ; then shall the...each to each ; and also the third angle of the one** equal to the third angle of the other. VOLUNTARY PORTION. 1. Equal straight lines in a circle are equallydistant... | |
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