 The internal bisector of an angle of a triangle divides the opposite side internally in the ratio of the sides containing the angle, and likewise the external bisector externally.  Plane Geometry - Page 185by Mabel Sykes, Clarence Elmer Comstock - 1918 - 322 pagesFull view - About this book
 | Fletcher Durell - Plane trigonometry - 1910 - 348 pages
...divided by the sine of the angle oppo ite that side. By means of the property of sines, prove that the bisector of an angle of a triangle divides the opposite side into segments which are proportional to the sides forming the given angle. áJ In any triangle ABC,... | |
 | John Perry, Great Britain. Board of Education - Mathematics - 1910 - 182 pages
...drawn parallel to the base of a triangle divides the sides into proportionate segments. Prove that the bisector of an angle of a triangle divides the opposite side into segments proportional to the other sides. In equiangular triangles the sides are in the same proportions.... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 304 pages
...Oy such that Oy : xy is the same for every such point y. MEASUREMENT OF LINE-SEGMENTS. 250. THEOREM. The bisector of an angle of a triangle divides the opposite side into segments whose ratio is the same as that of the adjacent sides. Given CD bisecting ZC in A ABC.... | |
 | Fletcher Durell - Logarithms - 1911 - 336 pages
...divided by the sine of the angle opposite that side. 2. By means of the property of sines, prove that the bisector of an angle of a triangle divides the opposite side into segments which are proportional to the sides forming the given angle. 3. In any triangle ABC,... | |
 | Geometry, Plane - 1911 - 192 pages
...greater included angle. 2. An angle inscribed in a circle is measured by half its intercepted arc. 3. The bisector of an angle of a triangle divides the opposite side into segments proportioned to the adjacent sides. 4. The area of a circle is equal to half the product... | |
 | Queensland. Department of Public Instruction - Education - 1911 - 218 pages
...triangles ABC and DEF, f£ = §£ = £?, &f r D DK then the triangles are equiangular. 2. The internal bisector of an angle of a triangle divides the opposite side internally in the ratio of the sides containing the angle. 3. The latio of the areas of similar polygons is equal... | |
 | David Eugene Smith - Geometry - 1911 - 360 pages
...the base or above the vertex, and also in which the parallel is drawn through the vertex. THEOREM. The bisector of an angle of a triangle divides the opposite side into segments which are proportional to the adjacent sides. The proposition relating to the bisector... | |
 | Great Britain. Board of Education - Mathematics - 1912 - 632 pages
...other and the sides about these equal angles proportional, the triangles are similar. 39. The internal bisector of an angle of a triangle divides the opposite side internally in the ratio of the sides containing the angle, and likewise the external bisector externally. 40.... | |
 | Great Britain. Board of Education - Education - 1912 - 1044 pages
...other and the sides about these equal angles proportional, the triangles are similar. 39. The internal bisector of an angle of a triangle divides the opposite side internally in the ratio of the sides containing the angle, and likewise the external bisector externally. 40.... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry - 1912 - 504 pages
...of the other are to each other as the products of the sides including the equal angles, prove that the bisector of an angle of a triangle divides the opposite side into segments proportional to the adjacent sides. Ex. 1126. In a circle of radius 5 a regular hexagon... | |
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