 Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.  Complete School Algebra - Page 466by Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - 1919 - 507 pagesFull view - About this book
 | Edward Rutledge Robbins - Logarithms - 1909 - 184 pages
...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 a triangle... | |
 | 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...segments which are proportional to the adjacent sides. . " Given the bisector of the angle C of the triangle ABC, meeting AB at M. To prove that AM: MB =... | |
 | 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, prove that a = b cos C+c cos B. State this... | |
 | 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 prove that... | |
 | 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. Divide... | |
 | 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 prove that... | |
 | 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...segments which are proportional to the adjacent sides. The proposition relating to the bisector of an exterior angle may be considered as a part of this one,... | |
 | 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, prove that a = b cos (7+ c cos B. State this... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 328 pages
...arc BC so that angle ABQ equals angle APC. Prove AB x AC = AQ x AP. PROPOSITION XVIII. THEOREM 432. The bisector of an angle of a triangle divides the...opposite side into segments which are proportional to the other two sides. A PC Given A ABC with BP the bisector of Z. ABC. To prove AP:PC = AB :BC. ARGUMENT... | |
 | 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 of its circumference... | |
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