 If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second....  The Elements of Plane and Solid Geometry ... - Page 45by Edward Albert Bowser - 1890 - 393 pagesFull view - About this book
 | George Albert Wentworth - Geometry - 1904 - 496 pages
....-. AACD is equilateral (why ?), and AD, half of AB = AC. .:AB=2AC. Ex. 23. 7/' two triangles hace two sides of the one equal, respectively, to two sides of the other, and the angles opposite two equal sides equal, the angles opposite the other two equal sides are equal... | |
 | Cora Lenore Williams - Geometry - 1905 - 50 pages
...one respectively equal to the three sides of the other, the triangles are congruent. Prop. 8. If two triangles have two sides of the one equal respectively to two sides of the other and the angles opposite one pair of equal sides equal, then the angles opposite the other pair of equal... | |
 | Levi Leonard Conant - Geometry - 1905 - 140 pages
...joining the vertices of the two triangles is bisected by the line on which the bases stand. 89. If two triangles have two sides of the one equal respectively to two sides of the other, and the included angles supplementary, the triangles are equal in area. 90. If equilateral triangles... | |
 | Education - 1915 - 906 pages
...to how the system is managed. Suppose we have upon the board the figure for the proposition: "If two triangles have two sides of the one equal respectively to two sides of the other and the included angles unequal etc." and the triangles with the smaller angle placed upon the other.... | |
 | Edward Rutledge Robbins - Geometry, Plane - 1906 - 268 pages
...JTC > ^fl (Ax. 6). That is, AC > DF. QED 87. THEOREM. If two triangles have two sides of one equal to two sides of the other but the third side of the first greater than the third side of the second, the included angle of the first is greater than the included... | |
 | Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...+ XC > 4fl (Ax. 6). That is, AC > DF. QED 87. THEOREM. If two triangles have two sides of one equal to two sides of the other but the third side of the first greater than the third side of the second, the included angle of the first is greater than the included... | |
 | Webster Wells - Geometry - 1908 - 336 pages
...its equal BII, PROP. XXX. THEOREM 101. (Converse of Prop. XXIX.) If two triangles have two nides of one equal respectively to two sides of the other, but the third side of the first greater than the third side of the second, the included angle of the first is greater than the included... | |
 | Webster Wells - Geometry, Plane - 1908 - 208 pages
...for Gil its equal BH, PROP. XXX. THEOREM (Converse of Prop. XXIX.) If two triangles have two sides of one equal respectively to two sides of the other, but the third side of the first greater than the third side of the second, the included angle of the first is greater than the included... | |
 | Irving Elgar Miller - Thought and thinking - 1909 - 352 pages
...sides of the other. Now, maybe I can get along without those troublesome angles. Let me see. I had two sides of the one equal respectively to two sides of the other. I must show that DB is equal to DC. Stuck again. They do look equal, but there is nothing in my hypothesis... | |
 | William Herschel Bruce, Claude Carr Cody (Jr.) - Geometry, Modern - 1910 - 286 pages
...2£s of s As). Hence 2£ BAC is bisected by the line AX. QEF PROPOSITION XXIV. THEOREM. 131. If two triangles have two sides of the one equal, respectively, to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the... | |
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