 | Robert Potts - 1855 - 1050 pages
...locus of the vertex of the triangle. 3. If the angle of a triangle be divided into two equal angles a straight line which also cuts the base, the segments of the 5. Shew how to reduce any recurring decimal to its equisnt vulgar fraction. Divide 1-13 by -000132.... | |
 | Cambridge univ, exam. papers - 1856 - 252 pages
...are equal to a side of the pentagon. 3. If the angle of a triangle be divided into two equal angles by a straight line which also cuts the base ; the...segments of the base shall have the same ratio which the other two sides of the triangle have to one another. Having giren the vertical angle, and the ratio... | |
 | Cambridge univ, exam. papers - 1856 - 200 pages
...If the angle of a triangle be divided into two equal angles by a straight line which also cuts ihe base; the segments of the base shall have the same ratio which the other sides of the triangle have to one another. SECOND DIVISION (B.) 1. To draw a straight line at... | |
 | War office - 1858 - 578 pages
...VOLUNTARY PORTION. First Paper. 1. If the vertical angle of a triangle be divided into two equal angles by a straight line which also cuts the base, the segments of the base shall have the same ratio which the other sides of the triangle have to one another. If, on the same side of a point 0 in the same straight... | |
 | W. Davis Haskoll - Civil engineering - 1858 - 422 pages
...one side will be to its adjacent segment of the base as the other side is to the other segment, and the segments of the base shall have the same ratio which the other sides of the triangle have to one another. Any two triangles having an equal angle in each, contained... | |
 | Thomas Stantial - Examinations - 1859 - 352 pages
...proportional between the inscribed and circumscribed equilateral triangles of the same circle. 8. If an angle of a triangle be bisected by a straight line which also cuts the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the segments... | |
 | Sandhurst roy. military coll - 1859 - 672 pages
...in a given circle. Given the side of the pentagon, 10 feet, find the radius of the circle. 2. If an angle of a triangle be bisected by a straight line which also cuts the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the segments... | |
 | Euclid - 1859 - 150 pages
...ííxа Travel ri)v TOV Tpiywvov ywviav. If any angle of a triangle be bisected by a straight lina which also cuts the base, the segments of the base shall have the same ratio to one another which the adjacent sides of the triangle have; and conversely, if the segments of the... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...line, &c. OED PROPOSITION III. THEOREM. If the angle of a triangle be divided into two tqual angles, by a straight line which also cuts the base; the segments of the base shall have the scant ratio which the other sit/es of the triangle have to one another : and conversely, if the segments... | |
 | Euclides - 1860 - 288 pages
...angle BAC is cut into two equal angles by the straight line AD. PROPOSITION A. THEOREM. If the exterior angle of a triangle be bisected by a straight line -which also cute the base produced, the segments between the bisecting line and the extremities of the base have... | |
| |
If the angle of a triangle be divided into two equal angles, by a straight line which also cuts the base ; the segments of the base shall have the same ratio which the other sides of the triangle have to one another... 
