 | John Playfair - 1842 - 332 pagine
...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 BAC equal to the angle BDC.... | |
 | Chambers W. and R., ltd - 1842 - 744 pagine
...sides 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 ; or, if two angles and a side in one triangle be respectively equal to two angles and a corresponding... | |
 | John Playfair - 1844 - 338 pagine
...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...which have the angles ABC, BCA equal to the angles DEF.EFD.viz. ABC to DEF, and BCA to EFD, also one side equal to one side ; and first, let those sides... | |
 | Euclides - 1845 - 546 pagine
...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, (i. 26.) namely, the side AB to the side CD, and AC to BD, and the angle BAC to the angle BDC. And... | |
 | Euclid - 1845 - 218 pagine
...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. EUCLID 8 ELEMENTS. viz. ABC to DEF, and BCA to EFD ; also one side equal to one side : and first, let... | |
 | Euclid, James Thomson - 1845 - 382 pagine
...of that which has the greater base, is greater than the angle contained by the sides equal to them, of the other. Let ABC, DEF be two triangles which have the two sides AB, AC equal to the two DE, DF, each to each ; but the base BC greater than the base EF :... | |
 | Euclides - 1846 - 292 pagine
...angles in each, is common to both — therefore the other gides are equal (1. 26), each to each, and the third angle of the one to the third angle of the other ; that is, CK is equal to CL, and the angle FKC to the angle FLC : And because CK is equal to CL, KL... | |
 | Euclid, John Playfair - 1846 - 334 pagine
...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.) ; vi2. the side AB to the side CD, and AC to BD, and the angle BAC equal te the angle BDC.... | |
 | Euclides - 1847 - 128 pagine
...the sides opposite to equal angles in each, then shall the other sides be equal, each to each, and the third angle of the one to the third angle of the other. PART. ENUN. — Let ABC, DEF be two As, which have the Zs ABC, BCA = Zs DEF, EFD, each to each ; viz.... | |
 | Euclides - 1848 - 52 pagine
...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 to the third angle of the other. PROP. XXVII. THEOREM. If a straight line falling upon two other straight lines make the alternate angles... | |
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... 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 the angles ABC, BCA equal to the angles DEF, EFD, viz. 
