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 - 1902 - 370 pagesFull view - About this book
| 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.... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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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