 | 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... | |
 | 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 =... | |
 | 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 of an exterior... | |
 | 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 is inscribed.... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...segments having the same ratio, the line is said to be divided harmonically. PROPOSITIOK XI. THEOREM 279. The bisector of an angle of a triangle divides the opposite side into segments which are proportional to the adjacent sides. M Given the bisector of the angle C of the triangle ABC,... | |
 | Walter Burton Ford, Earle Raymond Hedrick - Geometry, Modern - 1913 - 272 pages
...side is to its corresponding segment, then the line is parallel to the third side 149. Theorem III. The bisector of an angle of a triangle divides the opposite side into segments which are proportional to the sides of the angle. Given the A ABC and the bisector CD of Z C. To prove... | |
 | Walter Burton Ford, Charles Ammerman - Geometry, Solid - 1913 - 184 pages
...side is to its corresponding segment, then t/te line is parallel to the third side. 149. Theorem III. The bisector of an angle of a triangle divides the opposite side into segments which are proportional to the sides of the angle. 150. Theorem IV. If a series of parallels be cut... | |
 | Walter Burton Ford, Charles Ammerman - Geometry, Plane - 1913 - 376 pages
...is to its corresponding segment, then the line is parallel to the third side 149. Theorem III. Tlie bisector of an angle of a triangle divides the opposite side into segments which are proportional to the sides of the angle. Given the A ABC and the bisector CD of Z C. To prove... | |
 | Horace Wilmer Marsh - Mathematics - 1914 - 264 pages
...required. Suggestions. Bisect A, making segments t and s. From the figure formulate the theorem that the bisector of an angle of a triangle divides the opposite side into segments proportional to the respectively adjacent sides. Take the proportion by composition and by alternation.... | |
 | Edward Rutledge Robbins - Geometry, Plane - 1915 - 282 pages
...line bisecting two sides of a triangle is parallel to the third side. PROPOSITION XVII. THEOREM 297. The bisector of an angle of a triangle divides the...opposite side into segments that are proportional to the other two sides. Given: A ABC; BS the bisector of ZABC. To Prove: AS:8C=AB:BC. Proof: Through A draw... | |
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Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides. 
