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" 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 45
by Arthur Schultze, Frank Louis Sevenoak - 1902 - 370 pages
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School Science and Mathematics, Volume 15

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....
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Original Exercises in Plane and Solid Geometry

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...
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New Plane Geometry

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...
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New Plane and Solid Geometry

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...
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New Plane Geometry

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...
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The Psychology of Thinking

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...
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Plane Geometry: With Problems and Applications

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...
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Plane Geometry: With Problems and Applications

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...
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Wentworth's Plane Geometry

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...
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Secondary-school Mathematics, Book 1

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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