 If two triangles have two sides of one equal respectively to two sides of the other, but the included angle of the first triangle 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 Geometry - Page 44by George Bruce Halsted - 1885 - 366 pagesFull view - About this book
 | Yale University. Sheffield Scientific School - 1905 - 1074 pages
...different pigments? Give your reasoning. PLANE GEOMETRY JUNE, 1908 1. If two triangles have two sides of one equal respectively to two sides of the other,...angle of the second, then the third side of the first is greater than the third side of the second. State and prove also the converse theorem. 2. If a chord... | |
 | 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.... | |
 | Joseph Claudel - Mathematics - 1906 - 758 pages
...and these conditions suffice when they are properly chosen. 658. When two triangles have two sides of one equal respectively to two sides of the other,...angle of the second, then the third side of the first is greater than the third side of the second. Conversely, when two sides of a triangle are equal respectively... | |
 | Webster Wells - Geometry, Plane - 1908 - 208 pages
...line BP. To Prove Z PBM = Z PBN. (', "i / PROP. XXIX. THEOREM 100. If two triangles have two sides of one equal respectively to two sides of the other,...first greater than the included angle of the second, the third side of the first is greater than the third side of the second. F JH G Draw A ABC. Construct... | |
 | Webster Wells - Geometry - 1908 - 336 pages
...parts are equal.] (§ 48) 4. Again, if we suppose ZC < ZF, c would be < / [If two & have two sides of one equal respectively to two sides of the other, but the included Z of the first > the included Z of the second, the third side of the first is > the third side of the... | |
 | Webster Wells - Geometry, Plane - 1908 - 206 pages
...parts are equal.] (§ 48) 4. Again, if we suppose ZC < ZF, c would be < / [If two & have two sides of one equal respectively to two sides of the other, but the included Z of the first > the included ^ of the second, the third side of the first is > the third side of the... | |
 | 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,...angle of the second, then the third side of the first is greater than the third side of the second. D G Given As ABC and DBF, in which AB = DE, AC = DF,... | |
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