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 464by Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - 1919 - 507 pagesFull view - About this book
| Euclid, James Thomson - Geometry - 1845 - 380 pages
...part of this proposition, DE is parallel to DC. PROP. III. THEOR. — Tne straight line which bisects **an angle of a triangle, divides the opposite side into segments which** have the same ratio to one another as the adjacent sides of the triangle have : and (2) if the segments... | |
| William Frothingham Bradbury - Geometry - 1872 - 238 pages
...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 bisecting line... | |
| William Frothingham Bradbury - Geometry - 1872 - 124 pages
...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 bisecting line... | |
| André Darré - 1872
...of the homologous sides. PROPERTIES OF TRIANGLES FROM PROPORTIONAL LINES. 87. A line bisecting any **angle of a triangle divides the opposite side into segments which are** related to each other as the contiguous sides. Let AF (Fig. 75) bisect the angle A in the triangle... | |
| 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...segments which are proportional to the adjacent sides.** 3. The area of a parallelogram is equal to the product of its base and altitude. 4. How do you find... | |
| William Frothingham Bradbury - Geometry - 1880 - 260 pages
...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 = AD:DC Through... | |
| George Anthony Hill - Geometry - 1880 - 346 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 bisector,... | |
| Henry Angel - 1880
...angles, and their homologous sides are proportional (Euclid vL, Definition 1). 6. A line bisecting any **angle of a triangle divides the opposite side into segments, which are** in the same ratio as the remaining sides of the figure (Euclid vL 3). 7. All the internal angles of... | |
| Henry Angel - Geometry, Plane - 1880
...angles, and their homologous sides are proportional (Euclid vi., Definition 1). 6. A line bisecting any **angle of a triangle divides the opposite side into segments, which' are** in the same ratio as the remaining sides of the figure (Euclid vi. 3). 7. All the internal angles of... | |
| Alexander Jacob Schem - Education - 1881 - 374 pages
...of the product of several quantities equals the product of their like roots"; " The bisector of any **angle of a triangle divides the opposite side into...segments which are proportional to the adjacent sides";** etc., are scarcely embraced in Comte's definition without an unjustifiable extension of the signification... | |
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