| John Playfair - Euclid's Elements - 1833 - 333 pages
...to the equal angles, or the sides opposite to the equal angles in each ; then shall the other side **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 the angles ABC, ECA equal to the angles DEF, EFD, viz. ABC... | |
| Euclides - 1834 - 518 pages
...each, and one side equal to one side, viz. either the sides adjacent to the equal angles, or the sides **opposite to equal angles in each, then shall the other...each to each, and also the third angle of the one, to** Ike third angle of the other. Let ABC, DEF be two triangles, which have the angles ABC, BCA equal to... | |
| Euclid - 1835 - 540 pages
...; and one side equal to one side, viz. either the sides adjacent to the equal angles, or the sides **opposite to equal angles in each ; then shall the...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... | |
| Mathematics - 1836 - 472 pages
...equal to one side, viz. either the sides adjacent to the equal angles, or the sides opposite to the **equal angles in each; then shall the other sides be...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... | |
| Andrew Bell - Euclid's Elements - 1837 - 240 pages
...equal to one side ; namely, either the sides adjacent to the equal angles, or the sides opposite to the **equal angles in each ; then shall the other sides...angle of the one to the third angle of the other.** Or, if two angles and a side in one triangle be respectively equal to two angles and a corresponding... | |
| John Playfair - Geometry - 1837 - 332 pages
...to the equal angles, or the sides opposite to the equal angles in each ; then shall the other side **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 the angles ABC, BCA equal to the angles DEF, EFD, viz. ABC... | |
| Euclides - Euclid's Elements - 1837 - 112 pages
...the equal angles, or 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... | |
| Euclid - Geometry - 1838 - 478 pages
...than the angle EDF. Wherefore, if two triangles, &c. QED PROP. XXVI. THEOR. THE ELEMENTS OF EUCLID. \ **to equal angles in each; then shall the other sides...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 - 1838 - 264 pages
...; and one side equal to one side, vis. either the sides adjacent to the equal angles, or the sides **opposite to equal angles in each ; then shall the...each to each, and also the third angle of the one to** tlie third angle of the other. Let ABC, DEF be two triangles which have the angles ABC, BCA equal to... | |
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