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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. "
Complete School Algebra - Page 466
by Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - 1919 - 507 pages
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Plane Geometry

Arthur Schultze - 1901 - 260 pages
...diagram for Prop. XVI, if AB= 12, BC = 16, AD= 15, DE = 20, is .BDI I CE? PROPOSITION XVII. THEOREM 287. The bisector of an angle of a triangle divides the opposite side into segments having the same ratio as the other two sides. A » O Hyp. In A ABC, BD bisects Z ABC. To prove AB:BC...
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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...for Prop. XVI, if AB=12, BC = 16, AD = 15, DE = 20, is.BD\'CE? in E'. PROPOSITION XVII. THEOREM 287. The bisector of an angle of a triangle divides the opposite side into segments having the same ratio as the other two sides. AD c Hyp. In A ABC, BD bisects Z ABC. To prove AB : BC...
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Elements of Plane Geometry

Alan Sanders - Geometry, Modern - 1901 - 260 pages
...triangle form a second triangle that is similar to the given triangle. PROPOSITION XIX. THEOREM. 502. The bisector of an angle of a triangle divides the opposite side into segments that are proportional to the adjacent sides of the angle. A"" D Let BD be the bisector of Z R of the...
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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 394 pages
...diagram for Prop. XVI, if AB= 12, BC = 16, AD= 15, Z>E = 20, Is BD''CE? PROPOSITION XVII. THEOREM 287. The bisector of an angle of a triangle divides the opposite side into segments having the same ratio as the other two sides. ADC Hyp. In A ABC, BD bisects Z ABC. To prove AB: BC...
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Plane Trigonometry and Tables

George Albert Wentworth - Plane trigonometry - 1902 - 280 pages
...p. 64, become when one of the angles is a right angle ? 2. Prove by means of the Law of Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides. 3. What does Formula [26] become when A = 90° ? when A =...
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Concrete Geometry: Introductory to Formal Plane Geometry

Theophilus Nelson - Geometry, Modern - 1902 - 154 pages
...proportional to the other two sides ? What may be inferred from this in regard to the manner in which the bisector of an angle of a triangle divides the opposite side? Statement : — 216. A line may be divided internally or externally. A line is divided internally when...
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Elements of Plane and Solid Geometry

Alan Sanders - Geometry - 1903 - 392 pages
...triangle form a second triangle that is similar to the given triangle. PROPOSITION XIX. THEOREM. 502. The bisector of an angle of a triangle divides the opposite side into segments that are proportional to the adjacent sides of the angle. Let BD be the bisector of ZB of the A ABC....
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Plane Geometry by the Suggestive Method

John Alton Avery - Geometry, Modern - 1903 - 136 pages
...altitudes of similar triangles equals the ratio of similitude of the triangles. 168. Theorem VIII. The bisector of an angle of a triangle divides the opposite side into segments proportional to the adjacent sides. 169. Theorem IX. If two polygons are composed of the same number...
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Practical Mathematics: Summary of Six Lectures Delivered to Working Men

John Perry - Mathematics - 1903 - 142 pages
...drawn parallel to the base of a triangle divides the sides into proportionate segments. Prove that fhe bisector of an angle of a triangle divides the opposite side into segments proportional to the other side. In equiangular triangles the sides are in the same proportions. Divide...
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Five-place Logarithmic and Trigonometric Tables

George Albert Wentworth, George Anthony Hill - Logarithms - 1903 - 348 pages
...p. 64, become when one of the angles is a right angle ? 2. Prove by means of the Law of Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides. 3. What does Formula [26] become when A = 90° ? when .4...
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