 | William Frothingham Bradbury - Geometry - 1872 - 124 pages
...line produced, the difference of the segments, is equal to the line. 60. The line bisecting any angle, interior or exterior, divides the opposite side into segments which are proportional to the adjacent sides. Let B be the bisected angle of a triangle ADC. Throusjh C draw a line parallel to the... | |
 | William Frothingham Bradbury - Geometry - 1872 - 262 pages
...line produced, the difference of the segments, is equal to the line. 60, The line bisecting any angle, interior or exterior, divides the opposite side into segments which are proportional to the adjacent sides. Let B be the bisected angle of a triangle ABC. Through C draw a line parallel to the... | |
 | William Frothingham Bradbury - Geometry - 1880 - 260 pages
...the segments, is equal to the line. C / THEOREM XXV. 62. The line bisecting any angle of a triangle, interior or exterior, divides the opposite side into segments which are proportional to the adjacent sides. 1st. Let B, an interior angle of the „ triangle ABC, be bisected by BD; then AB:BC... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 276 pages
...Substituting this value in (2), QED PROPOSITION XX. THEOREM 327. The bisector of an angle of a triangle divides the opposite side into segments which are proportional to the other two sides. GIVEN — in the triangle ABC, AD the bisector of the angle A. TO PROVE - = -- DC AC DB AB Draw BM... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 570 pages
...2n;« §317 QED PROPOSITION XX. THKOREM 32 7 '• The bisector of an angle of a triangle divides thc opposite side into segments which are proportional to the other two sides. GIVEN— in the triangle ABC. AD the bisector of the angle A. DC AC TO PROVE - = -- DB AB Draw BM parallel... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 374 pages
...- n^+y> - a^ § 305 § 305 QED PROPOSITION XX. THEOREM 314. The bisector of an angle of a triangle divides the opposite side into segments which are proportional to the other two sides. GIVEN — in the triangle ABC, AD the bisector of the angle A. DC AC To PROVE J^ = TBDraw BM parallel... | |
 | Edward Brooks - Geometry, Modern - 1901 - 278 pages
...proportional between ADE and ABC. PROPOSITION XVIII. — THEOREM. The bisector of any angle of a triangle divides the opposite side into segments which are proportional to the other two sides. Given. — Let the line AD bi- .js sect the angle A of the triangle ,.••' :' ABC. To Prove. —... | |
 | Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...NUMERICAL PROPERTIES OF LINES PROPOSITION XXI. THEOREM 332. In any triangle, the bisector of an angle divides the opposite side into segments which are proportional to the other two sides. Given the A ABC, with the line AD bisecting the Z BA C, and meeting BC at D. To prove DC : DB=AC :... | |
 | Yale University. Sheffield Scientific School - 1905 - 1074 pages
...theorems true of the figure thus formed. 3. The bisector of an angle (interior or exterior) of a triangle divides the opposite side into segments which are proportional to the other two sides. 4. Show how to construct a square {a) equivalent to a given parallelogram; (b) equivalent to a given... | |
 | Edward Rutledge Robbins - Geometry, Plane - 1906 - 268 pages
...coincide (?) (39). That is, DE is II to BC. QED 308. THEOREM. The bisector of an angle of a triangle divides the opposite side into segments which are proportional to the other two sides. Given : A ABC ; BS the bi- p;>.. : x ~-... sector of Z ABC. \ ~x To Prove : AS: SC=AB : BC. Proof :... | |
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The angle bisector of a triangle divides the opposite side into segments which are proportional to the other two sides. Given in A ABC, BD bisecting Z ABC. 
