 | Association for the Improvement of Geometrical Teaching - 1903 - 342 pages
...ADB is obtuse, shew that AB is greater than AC. THEOR. 17. If two triangles have two sides of the one equal to two sides of the other, each to each, but the bases unequal, then the included angles are unequal, the angle of that which has the greater base being... | |
 | Euclid - Euclid's Elements - 1904 - 488 pages
...given angle DCE. QEF EXERCISE. PROPOSITION 24. THEOREM. If two triangles have two sides of the one equal to two sides of the other, each to each, but the angle contained by the two sides of one greater than the angle contained by the corresponding sides of the... | |
 | Henry Sinclair Hall - 1908 - 286 pages
...the included L. GDK ; .-. FK = GK. Them. 4. 53 Conversely, if two triangles have two sides of the one equal to two ' sides of the other, each to each, but the base of one greater than the base of the other; then the angle contained by the sides of that which... | |
 | Joseph Gregory Horner - Engineering - 1909 - 560 pages
...triangle but shall contain a greater angle. (Prop. 21.) If two triangles have two sides of the one equal to two sides of the other, each to each, but the angle contained by the two sides of one of them greater than the angle contained by the two sides, equal... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 300 pages
...and AD + DC1 = AC. (Why?) But AD + DC1>AC'. (Ax. Ill, § 61) AOAC1. (Ax. VII, §82) 118. THEOREM. // in two triangles two sides of the one are equal to two sides of the other but the third side of the first is greater than the third side of the second, then the included angle... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 304 pages
...AD + DC' = AC. (Why?) But AD + DC' > AC'. (Ax. Ill, § 61) AOAC'. (Ax. VII, § 82) 118. THEOREM. // in two triangles two sides of the one are equal to two sides of the other but the third side of the first is greater than the third side of the second, then the included angle... | |
 | Queensland. Department of Public Instruction - Education - 1916 - 244 pages
...in area, the line AD is bisected by BC or BC produced. 6. If two triangles have two sides of the one equal to two sides of the other, each to each, but the angle included by two sides of the one greater than the angle included by the corresponding sides of the other, then... | |
 | Sir Thomas Little Heath - Mathematics - 1921 - 612 pages
...half the difference between AC and AB. For the triangles ABD, AED are equal in all respects, since two sides of the one are equal to two sides of the other amid the included I angles BAD, EAD, standing on equal arcs, are e(lual. Therefore ED = BD = DO, and... | |
 | Sir Thomas Little Heath - Mathematics - 1921 - 614 pages
...half the difference between AC and AB. For the triangles ABD, API/i arc equal in all respects, since two sides of the one are equal to two sides of the other and the included angles BAD, EAD, standing on equal arcs, are equal. Therefore ED = BD = DC, amid the... | |
 | Laurence Buermeyer - Logic - 1923 - 448 pages
...triangles formed are equal to each other. Thus, right triangle 1 = right triangle 2, because two 104 sides of the one are equal to two sides of the other, respectively. Similarly, right triangle 2 = right triangle ABC =3=4. Now, the diagonals of a square... | |
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If two triangles have two sides of the one equal to two sides of the other, each to each, but the... 
