 | Samuel H. Winter - 1877 - 452 pages
...between the same parallels are equal to each other. Show that if two triangles have two sides of the one equal to two sides of the other, each to each, and the sum of the two included angles equal to two right angles, the triangles are equal. 3. In a right-angled... | |
 | James Maurice Wilson - 1878 - 450 pages
...from a given point to a given straight line. THEOREM 20. If two triangles have two sides of the one equal to two sides of the other, each to each, and the angles opposite to two equal sides equal, the angles opposite to the other two equal sides are either... | |
 | Thomas Hunter - Geometry, Plane - 1878 - 142 pages
...Therefore AB is greater than EF. PROPOSITION XXIV.—THEOREM. If two triangles have two sides of the one equal to two sides of the other, each to each, and the third side of the one greater than the third side of the other, that triangle having the greater third... | |
 | William Henry Harrison Phillips - Geometry - 1878 - 236 pages
...opposite the right angle or obtuse angle. XXIX. Theorem. If two triangles have two sides of the one equal to two sides of the other, each to each, and the angle opposite the greater of these two sides in each equal, the triangles will be congruent. cp HYPOTH.... | |
 | Charles Mansford - 1879 - 112 pages
...CE=2.AB, BC. (153.) By aid of I. 38, it may be shewn that two triangles which have two sides of the one equal to two sides of the other, each to each, and the included Z• together equal to 2 right L", (ie, supplementary), are equal to one another. Now CAH=BAC, [I.... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...seen from a proposition which we shall now demonstrate. If two triangles have two sides of the one equal to two sides of the other, each to each, and the angles opposite to a pair of equal sides equal; then if the angles opposite to the other pair of equal... | |
 | Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...between the same parallels are equal to each other. Show that if two triangles have two sides of the one equal to two sides of the other each to each, and the sum of the two included angles equal to two right angles, the triangles are equal. 3. In a right-angled... | |
 | Education, Higher - 1882 - 498 pages
...line a straight line equal to that given straight line. 3. If two triangles have two sides of the one equal to two sides of the other, each to each, and the angles contained by those sides also equal, the two triangles are equal in every respect. 4. If at... | |
 | Great Britain. Education Department. Department of Science and Art - 1882 - 510 pages
...l+cos<9cos0H --- 12 - + — 1^-3 — +••' 74. If two spherical triangles have two sides of the one equal to two sides of the other each to each, and the angle between the two sides of the one equal to the angle between the two sides of the other i show... | |
 | Edward Olney - Geometry - 1883 - 352 pages
...Theorem. — On the same sphere, or on equal spheres, if two spherical triangles have two sides of the one equal to two sides of the other, each to each, and the included angles unequal, the third sides are unequal, and the greater third side belongs to the triangle having the... | |
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If two triangles have two sides of the one equal to two sides of the other, each to each, and the included... 
