 | Euclides - 1855 - 230 pages
...VI. 8, cor. . VI. 3. VI. 2. VI. A. (p. 76). If several parallels be drawn to the base of a triangle. If an angle of a triangle be bisected by a straight line, which likewise cuts the base. • Idem If a straight line bisects both the angle and base of a triangle.... | |
 | Euclides - 1855 - 270 pages
...each other, and to the sides from which they are re. spcctively cut off. PROP. III. THEOREM. If any angle of a triangle be bisected by a straight line which also cut* the base, the segments of the base have the same ratio to one another which the adjacent sides... | |
 | 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... | |
 | Cambridge univ, exam. papers - 1856 - 200 pages
...another. Shew that each of the complements of the parallelograms is a mean proportional between them. 6. If an angle of a triangle be bisected by a straight line, which likewise cuts the base; the rectangle contained by the sides of the triangle ia equal to the rectangle... | |
 | 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... | |
 | Sandhurst roy. military coll - 1859 - 672 pages
...pentagon 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... | |
 | Thomas Stantial - Examinations - 1859 - 352 pages
...mean 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... | |
 | Euclides - 1860 - 288 pages
...angle at the centre, is to four right angles, as the arc subtending it, to the whole circumference. If an angle of a triangle be bisected by a straight line, -which likewise cuts the base, the rectangle contained by the sides of the triangle is equal to the rectangle... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...sector BGCto the sector EHF. (v. def. 5.) Wherefore, in equal circles, &c. QED PROPOSITION B. THEOREM. If an angle of a triangle be bisected by a straight line which likewise cuts the base ; the rectangle contained by the tides of the triangle is equal to the rectangle... | |
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IF an angle of a triangle be bisected by a straight line, which likewise cuts the base ; the rectangle contained by the sides of the triangle is equal to the rectangle contained by the segments of the base, together with the square of the... 
