 If two triangles have two sides of one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second.  Solid Geometry - Page 435by Claude Irwin Palmer - 1918 - 177 pagesFull view - About this book
 | Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...hypothesis. Also if ZJS were less than /.E, side AC would be less than side DF, Art. 107. (if two /£. hare two sides of one equal, respectively, to two sides of the other, but the included Z of the first greater than the included /. of the second, then tho third side of the first is greater... | |
 | Fletcher Durell - Geometry - 1911 - 553 pages
...the hypothesis. Also if ZB were less than ZE, side AC would be less than side DF, Art. 107. (if two A have two sides of one equal, respectively, to two sides of the other, l>ut the included Z of the first greater than the included Z of the second, then the third side of... | |
 | Yale University. Sheffield Scientific School - 1905 - 1074 pages
...colors chosen in all ways from six different pigments? Give your reasoning. PLANE GEOMETRY JUNE, 1908 1. If two triangles have two sides of one equal respectively...of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the... | |
 | George Clinton Shutts - 1905 - 260 pages
...equal to the area of a rectangle whose adjacent sides are the two legs of the right triangle. Ex. 240. If two triangles have two sides of one equal respectively to two sides of another and the included angles supplementary, the triangles are equal in area. Ex. 241. Draw a circle... | |
 | Joseph Claudel - Mathematics - 1906 - 758 pages
...— 2) + (n — 1) = 2 n — 3, and these conditions suffice when they are properly chosen. 658. When two triangles have two sides of one equal respectively...of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the... | |
 | Wisconsin. Department of Public Instruction - Education - 1906 - 124 pages
...included angles unequal, the triangle which has the greater included angle has the greater third side. 14. If two triangles have two sides of one equal respectively to two sides of the other, and the third sides unequal, the triangle which has the greater third side has the greater included... | |
 | Webster Wells - Geometry, Plane - 1908 - 206 pages
...points.] (Ax. 7) 8. Putting for GH its equal BH, PROP. XXX. THEOREM 101. (Converse of Prop. XXIX.) If two triangles have two sides of one equal respectively to two sides of the other, but the third side of the first greater than the third side of the second, the included angle of the first... | |
 | Webster Wells - Geometry, Plane - 1908 - 208 pages
...the homologous parts are equal.] (§ 48) 4. Again, if we suppose ZQ < ZF, c would be < / [If two A 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 - 1908 - 336 pages
...GH its equal BII, PROP. XXX. THEOREM 101. (Converse of Prop. XXIX.) If two triangles have two nides of one equal respectively to two sides of the other, but the third side of the first greater than the third side of the second, the included angle of the first... | |
 | William Herschel Bruce, Claude Carr Cody (Jr.) - Geometry, Modern - 1910 - 284 pages
...GF. Ax. 2 But EG + GC' > EC'. § 10 (a) Hence EG + GF, or EF > EC". PROPOSITION XXV. THEOREM. 132. If two triangles have two sides of one equal, respectively, to two sides of the other, but the third side of the first greater than the third side of the second, then the angle opposite the third... | |
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