 | Webster Wells - 1898 - 264 σελίδες
...from the point to the line.] (§50) Therefore, point A falls on point D. PROP. XXVIII. THEOREM. 91. If two triangles have two sides of one equal respectively...first greater than the included angle of the second, the third side of the first is greater than the third side of the second. :H *'<? Given, in A ABC and... | |
 | Arthur A. Dodd, B. Thomas Chace - 1898 - 468 σελίδες
...are cut by a third so as to make the alternate interior angles equal, the two lines are parallel. 2. If two triangles have two sides of one equal respectively...to two sides of the other, but the included angle ot the first greater than the included angle of the second, the third side of the first is greater... | |
 | Webster Wells - 1898 - 284 σελίδες
...for GH its equal CH, we have BH+CH>BG, or BC>EF. PBOP. XXIX. THEOREM. 92. (Converse of Prop. XXVIII.) 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... | |
 | Arthur A. Dodd, B. Thomas Chace - 1898 - 468 σελίδες
...hypotenuse and compare its area with the rectangle whose sides are the two legs of the right A242. If two triangles have two sides of one equal respectively to two sides of the other and the included angles supplementary, how are the areas related ? 243. The side of an equilateral... | |
 | Henry W. Keigwin - 1898 - 250 σελίδες
...I. Restate ex. 3, page 23, using §§ 73 and 77a. 2. Restate § 76a. PROPOSITION XIII. THEOEEM. 78. If two triangles have two sides of one equal respectively to two sides of the other, hut the included angle of the first greater than the included angle of the second, then the a Y> Fio.... | |
 | Webster Wells - 1898 - 250 σελίδες
...altitude of an equilateral triangle is 3 ; find its area. 20. Two triangles are equivalent if they * have two sides of one equal respectively to two sides of the other, and the included angles supplementary. „ AD 21. One diagonal of a rhombus is five-thirds of the other,... | |
 | Webster Wells - 1899 - 450 σελίδες
...(Ax. 4) Substituting for GH its equal CH, we have PROP. XXIX. THEOREM. 92. (Converse of Prop. XXVIII.) 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... | |
 | George Albert Wentworth - 1899 - 496 σελίδες
...produced. BOOK I. PLANE GEOMETRY. PROPOSITION XXVIII. THEOREM. 154. If two triangles have two sides of the 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... | |
 | Charles Austin Hobbs - 1899 - 266 σελίδες
...AAGH AH' A .45C = ABxAC ~?x ' A^Gff~^G£xAff' . A ABC = ABxAC (?, ' ADEF DE x DF' QBD 182 Ex. 538. If two triangles have two sides of one equal respectively to two sides of the other and the included angles supplementary, the triangles are equivalent. Ex. 539. Two triangles which have... | |
 | George Albert Wentworth - 1899 - 272 σελίδες
...side and the base produced. PROPOSITION XXVIII. THEOREM. 154. If two triangles have two sides of the 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... | |
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If two triangles have two sides of one equal respectively to two sides of the other... 
