 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....  Plane and Solid Geometry - Page 77by George Albert Wentworth, David Eugene Smith - 1913 - 470 pagesFull view - About this book
 | 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 the triangle... | |
 | 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 a side... | |
 | 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 either equal or suppleF1G.... | |
 | George Bruce Halsted - Geometry - 1904 - 313 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 either equal or suppleFIG.... | |
 | George Albert Wentworth - Geometry - 1904 - 496 pages
...included by a side and the base 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... | |
 | 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 are described... | |
 | 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. I say... | |
 | Cora Lenore Williams - Geometry - 1905 - 50 pages
...then the third sides are unequal, the greater side being opposite the greater angle. Prop. 42. If two triangles have two sides of the one equal respectively to two sides of the other, but the third sides unequal, then the included angles are unequal, the greater angle being opposite... | |
 | 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... | |
 | George Albert Wentworth, David Eugene Smith - Geometry, Plane - 1910 - 287 pages
...Now AP+PY>AY. Post. 3 .'. AP+PB>AY. Ax. 9 .'. AB>AY. , Ax. 11 PROPOSITION XXIV. THEOREM 116. If two triangles have two sides of the one equal respectively to two sides of the other, but the third side of the first triangle greater than the third side of the second, then the angle... | |
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