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" 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. "
Solid Geometry - Page 195
by Mabel Sykes, Clarence Elmer Comstock - 1922 - 218 pages
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Annual Statement, Volumes 11-20

1876 - 646 pages
...text-book you have studied and to what extent.] 1. To draw a common tangent to two given circles.' 2. The bisector of an angle of a triangle divides the opposite side into segments which are proportional to the adjacent sides. 3. The area of a parallelogram is equal...
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Education, Volume 48

Education - 1928 - 684 pages
...similar polygons. 3. Test for similarity of polygons. 4. The sum of the exterior angles of a polygon. 5. The bisector of an angle of a triangle divides the opposite side into segments proportional to the adjacent sides. 6. The bisector of an exterior angle of a triangle...
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A Geometry for Beginners

George Anthony Hill - Geometry - 1880 - 348 pages
...let fall from the vertex of the right angle, («.) the length of this perpendicular. 10. Prove that the bisector of an angle of a triangle divides the opposite side into parts that have the same ratio as the adjacent sides. Hints. — If ABC is the triangle, BD the...
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Plane and Spherical Trigonometry

George Albert Wentworth - Trigonometry - 1882 - 234 pages
...of § 36 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 pro> portional to the adjacent sides. 3. What does Formula [26] become when A = 90° ? when...
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Texas School Journal, Volume 20

Education - 1902 - 730 pages
...right bisector of the join of the given points. The proof is clear by citing the familiar theorem that the bisector of an angle of a triangle divides the opposite side in the ratio of the including sides. PHYSICS. Answer any eight. 1. Explain the "parallelogram of forces."...
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Yale Examination Papers

F. B. Stevens - Examinations - 1884 - 202 pages
...text-book you have studied and to what extent.] 1. To draw a common tangent to two given circles. 2. The bisector of an angle of a triangle divides the opposite side into segments whi^h are proportional to the adjacent sides. 3. The area of a parallelogram is equal...
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Plane and Spherical Trigonometry: G. A. Wentworth ...

George Albert Wentworth - Trigonometry - 1884 - 330 pages
...of § 36 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...
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Wentworth & Hill's Exercise Manuals: Geometry, Issue 3

George Albert Wentworth - 1884 - 264 pages
...142. Theorem. Lines meeting in a common point divide parallels into proportional parts. 143. Theorem. The bisector of an angle of a triangle divides the opposite side into segments proportional to the adjacent sides. 144. Theorem. The bisector of an exterior angle of...
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The Elements of Geometry

George Bruce Halsted - Geometry - 1885 - 389 pages
...radii of their circumscribed circles.) But, since OF bisects the £ COE, .: OC : OE : : CF : FE, (523. The bisector of an angle of a triangle divides the opposite side in the ratio of the other two sides of the triangle.) .'. q : p : : CF : FE, whence, by composition,...
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The Elements of Geometry

George Bruce Halsted - Geometry - 1886 - 394 pages
...radii of their circumscribed circles.) But, since OF bisects the 4 COE, .: OC : OE :: CF : FE, (523. The bisector of an angle of a triangle divides the opposite side in the ratio of the other two sides of the triangle.) .-. q : p : : CF : FE, whence, by composition,...
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