 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, the third side of the first is greater than the third side of the second...  Elements of Geometry - Page 48by George Albert Wentworth - 1879 - 250 pagesFull view - About this book
 | George Bruce Halsted - Geometry - 1904 - 324 pages
...the angle between equal sides bisects at right angles the third side. 511. Theorem. If two spherical triangles have two sides of the one equal respectively to two sides of the other, and the angles opposite one pair of equal sides equal, then the angles opposite the other pair are... | |
 | Fletcher Durell - Geometry - 1911 - 553 pages
...greater angle at the center) . /. chord AB > chord DF, Art. 107. (if two A have two sides of one equal to two sides of the other, but the included angle of the first greater, etc.). CONVERSELY. Given the equal circles 0 and Of, and chord AB > chord DF. To prove arc AB > arc... | |
 | Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...greater angle at the center) . .-. chord AB > chord DF, Art. 107. (if two A have two sides of one equal to two sides of the other, but the included angle of the first greater, etc.). CONVERSELY. Given the equal circles 0 and O', and chord AB > chord DF. To prove arc AB > arc... | |
 | George Albert Wentworth - Geometry - 1904 - 496 pages
....-. AACD is equilateral (why ?), and AD, half of AB = AC. .:AB=2AC. Ex. 23. 7/' two triangles hace 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... | |
 | Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...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... | |
 | Cora Lenore Williams - Geometry - 1905 - 50 pages
...one respectively equal to the three sides of the other, the triangles are congruent. Prop. 8. If two triangles have two sides of the one equal respectively to two sides of the other and the angles opposite one pair of equal sides equal, then the angles opposite the other pair of equal... | |
 | Education - 1915 - 906 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... | |
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