 If two triangles have two sides of the 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....  Elementary Solid Geometry and Mensuration - Page 139by Henry Dallas Thompson - 1896 - 199 pagesFull view - About this book
 | Alan Sanders - Geometry, Modern - 1901 - 260 pages
...Prove A GBH = AHB C. Whence HG = HC. AH + HG>AG. (?) AOAd. (?) AC>DF. (?) QEI> 182. CONVERSE. If two triangles have two sides of the one equal respectively to two sides of the other, and the third sides unequal, the included angles are unequal, and the greater included angle belongs... | |
 | Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...herelore BC is greater thaii BC'. That is, .#6' is greater than B'C. PROPOSITION XXI \ 80. // £M;G» triangles have two sides of the one equal, respectively, to two sides of tlie other, and the third sides unequal, the triangle which has the greater third side has also the... | |
 | Alan Sanders - Geometry - 1903 - 396 pages
...perimeter of the star is greater than that of the polygon ABCDEF. PROPOSITION XXVIII. THEOREM 181. If two triangles have two sides of the one equal respectively to two sides of the other, and the included angles unequal; the third sides are unequal, and the greater third side belongs to... | |
 | Alan Sanders - Geometry - 1903 - 392 pages
...process can be repeated until a triangle is reached. 571. EXERCISE. Two triangles are equivalent if they have two sides of the one equal respectively to two sides of the other, and the included angles supplementary. [Place the A so that the two supplementary A are adjacent and... | |
 | George Bruce Halsted - Geometry - 1904 - 322 pages
...bisector of 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... | |
 | George Bruce Halsted - Geometry - 1904 - 324 pages
...bisector of 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... | |
 | 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... | |
 | 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... | |
 | 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.... | |
 | 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... | |
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