| William Sullivan - Ethics - 1833 - 380 pages
...opposite to the equal angles in each; then shall the other sides be equal, each to each ; and also **the third angle of the one, to the third angle of the other.** But to prove that such equality exists, a process of reasoning must be gone through. To make out that... | |
| Euclid - 1835 - 540 pages
...sides opposite to equal angles in each ; then shall the other sides be 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 theangles ABC, BC A equal to the angles DEF, EFD, viz. ABC to DEF,... | |
| Robert Simson - Trigonometry - 1835 - 513 pages
...sides opposite to equal angles in each ; then shall the other sides be equal, each to each ; and also **the third angle of the one to the third angle of the other. Let** ABC,DEFbe two triangles which have the angles ABC, BCA equal to the angles DEF, EFD, viz. ABC to DEF,... | |
| Mathematics - 1836 - 472 pages
...opposite to the equal angles in each; then shall the other sides be equal, each to each ; and also **the third angle of the one to the third angle of the other.** XXVJI. If a straight line falling upon two other straight lines makes the alternate angles equal to... | |
| John Playfair - Euclid's Elements - 1836 - 488 pages
...angles, common to the two triangles ^herefore their other sides are equal, each to each, and the b 20. I. **third angle of the one to the third angle of the other** b, viz. the side AB to the side CD, and AC to BD, and the angle BAC equal to the angle BDC. And because... | |
| John Playfair - Geometry - 1837 - 332 pages
...which is adjacent to these 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 other** (26. 1.) ; viz. the side AB to the side CD, and AC to BD, and the angle BAG equal to the angle BDC.... | |
| Andrew Bell - Euclid's Elements - 1837 - 240 pages
...common to the two triangles, which is adjacent to their equal angles ; therefore their other sides shall **be equal, each to each, and the third angle of the one to the third angle** ot the other (I, 26) ; namely, the side AB to the side CD, and AC to BD, and the angle BAG equal to... | |
| Euclides - Euclid's Elements - 1837 - 112 pages
...opposite to the equal angles in each : then shall the other sides be equal, A, each to each; and also **the third angle of the one to the third angle of the other.** Steps of the Demonstration to Case 1st. Suppose that AB ^ DK, and that a part of AB, as BG = DE, Then... | |
| Robert Simson - Geometry - 1838 - 434 pages
...common to the two triangles, which is adjacent to their equal angles ; therefore their other sides shall **be equal, each to each, and the third angle of the one to the third angle of the other,** (26. 1.) viz. the side AB to the side CD, and AC to BD, and the angle BAC equal to the angle BDC; and... | |
| Euclides - 1838 - 264 pages
...which is adjacent to their 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 other,*** viz. the side AB to the side CD, and AC to BD, and the angle BAC equal to the angle BDC: and because... | |
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