 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.  Elements of Plane and Solid Geometry - Page 40by George Albert Wentworth - 1882 - 398 pagesFull view - About this book
 | 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, 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... | |
 | 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... | |
 | 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,... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | David Eugene Smith - Geometry - 1911 - 370 pages
...Converse may readily be taught to pupils, and it has several applications in geometry. THEOREM. If two triangles have two sides of the one equal respectively...of the other, but the included angle of the first triangle greater than the included angle of YY the second, then the third side of the first is greater... | |
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