 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.  Plane and Solid Geometry - Page 45by Arthur Schultze, Frank Louis Sevenoak - 1901 - 370 pagesFull view - About this book
 | 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... | |
 | Education - 1915 - 908 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.... | |
 | 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... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 300 pages
...impossible : C B' B RECTILINEAR FIGURES. 117. THEOREM. // in two triangles two sides of the one are equal respectively to two sides of the other, but the included angle of the first is greater than the included angle of the second, then the third side of the first is greater than... | |
 | George Albert Wentworth, David Eugene Smith - Geometry, Plane - 1910 - 287 pages
...triangle to the mid-point of the opposite side is called a median of the triangle. EXERCISE 16 1. If two triangles have 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... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 304 pages
...are impossible: BB RECTILINEAR FIGURES. 117. THEOREM. // in two triangles two sides of the one are equal respectively to two sides of the other, but the included angle of the first is greater than the included angle of the second, then the third side of the first is greater than... | |
 | Robert Louis Short, William Harris Elson - Mathematics - 1910 - 200 pages
...XXII 132. If two triangles have two sides of one equal respectively to two sides of the other, and the included angle of the first greater than the included angle of the second, the third side of the first is greater than the third side of the second. Draw &ABC and ELM, having... | |
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