 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
 | Ernst Rudolph Breslich - Logarithms - 1917 - 408 pages
...lines and make the corresponding segments of the given lines proportional, are parallel. [167] 439. The bisector of an angle of a triangle divides the opposite side into segments proportional to the adjacent sides. [170] • Circles 440. A point is within, upon, or... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1918 - 360 pages
...related ? SUPPLEMENTARY THEOREMS AND PROBLEMS INTERNAL DIVISION OF A SIDE OF A TRIANGLE* 365. 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. ADB Given A ABC with CD bisecting... | |
 | Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - Algebra - 1918 - 296 pages
...time that a near-by post 8 feet high casts a shadow 4|- feet long. Find the height of the pole. 17. The bisector of an angle of a triangle divides the opposite side into segments which are proportional to the adjacent sides. In triangle ABC if AB = 15, BC = 24, and... | |
 | Claude Irwin Palmer - Geometry, Solid - 1918 - 192 pages
...divide a given straight line into parts proportional to any number of given lines. § 417. Theorem. The bisector of an angle of a triangle divides the opposite side into two parts which are proportional to the adjacent sides. SIMILAR TRIANGLES § 421. Theorem. Two... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry - 1918 - 460 pages
...and compute. Which is the better method? Upon what does the inaccuracy in each depend? 417. Theorem. The bisector of an angle of a triangle divides the opposite side into two parts which are proportional to the adjacent sides. Given AABC, with BD bisecting B ,.-'''*'... | |
 | Herbert Ellsworth Slaught - 1918 - 344 pages
...related ? SUPPLEMENTARY THEOREMS AND PROBLEMS INTERNAL DIVISION OF A SIDE OF A TRIANGLE* 365. 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. AD Given A ABC with CD bisecting... | |
 | Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - Algebra - 1919 - 536 pages
...time that a near-by post 8 feet high casts a shadow 4|- feet long. Find the height of the pole. 17. The bisector of an angle of a triangle divides the opposite side into segments which are proportional to the adjacent sides. In triangle ABC if AB = 15, BC = 24, and... | |
 | Marquis Joseph Newell - 1920 - 424 pages
...the hypotenuse, the perpendicular is a mean proportional between the segments of the hypotenuse. V. The bisector of an angle of a triangle divides the opposite side into segments that are proportional to the adjacent sides of the angle. VI. If, from a point without... | |
 | Matilda Auerbach, Charles Burton Walsh - Geometry, Plane - 1920 - 408 pages
...harmonically? Discuss Theorems 31 and 32 from the point of view of external division of a sect. Theorem 32<z. The bisector of an angle of a triangle divides the opposite side into sects which are proportional to the adjacent sides. Given: AABC; D on AB and %.ACD = %.DCB. AD... | |
 | William Fogg Osgood, William Caspar Graustein - Geometry, Analytic - 1921 - 650 pages
...the focal radii. To prove this proposition we recall the theorem of Plane Geometry which says that the bisector of an angle of a triangle divides the opposite side into segments which are proportional to the adjacent sides. It is easily seen that the converse * of... | |
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