 | Samuel Smith Keller, W. F. Knox - Calculus - 1908 - 374 pages
...¡ocal radii to any point on the ellipse is bisected by the normal at that point. Geometry tells us that the bisector of an angle of a triangle divides the opposite side into segments proportional Analytical Geometry. 125 to the other sides, hence, if we can prove (Fig. 49)... | |
 | Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...DE. (Why?) .'.GH = EF. (Why?) .'. A AGH ^A DEF. (§ 100) .'. A DEF ~ A ABC. (Why?) THEOREM XIV 350. The bisector of an angle of a triangle divides the opposite side into segments proportional to the sides of the angle. Given : A ABC and the bisector EADofZA. ,,-''4 AB... | |
 | Edward Rutledge Robbins - Logarithms - 1909 - 184 pages
...20. Is the law of tangents true if Z С is a right angle ? If ZB is a right angle ? 21. Prove, by use of the law of sines, that the bisector of an angle of a triangle divides the opposite side into segments proportional to the other two sides. 22. If В is the radius of the circle circumscribing... | |
 | John Perry, Great Britain. Board of Education - Mathematics - 1910 - 182 pages
...line 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.... | |
 | Fletcher Durell - Plane trigonometry - 1910 - 348 pages
...triangle 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, prove... | |
 | George Albert Wentworth, David Eugene Smith - Geometry, Plane - 1910 - 287 pages
...segments having the same ratio, the line is said to be divided harmonically. PROPOSITION XI. THEOREM 279. The bisector of an angle of a triangle divides the opposite side into segments which are proportional to the adjacent sides. . " Given the bisector of the angle C of the... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 300 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. To... | |
 | 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. To... | |
 | Fletcher Durell - Logarithms - 1911 - 336 pages
...triangle 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, prove... | |
 | Geometry, Plane - 1911 - 192 pages
...BCD whose base CD lies in AC produced. Show that the angle DBE is three times the angle A. 2. Prove that the bisector of an angle of a triangle divides the opposite side into segments proportional to the sides of the angle. The hypotenuse of a right triangle is 10 inches long,... | |
| |
The bisector of an angle of a triangle divides the opposite side into segments proportional to the adjacent sides. 
