 | University of Madras - 1873 - 436 pages
...sides of a triangle are together greater than the third. X. Inscribe a circle in a given triangle. XI. If the vertical angle of a triangle be bisected by a straight line, which meets the base, the rectangle under the two sides of the triangle is equal to the rectangle under the... | |
 | Braithwaite Arnett - 1874 - 130 pages
...and OD. Prove that if BPC be any chord passing through P, the angles BDP and CDP will be equal. 11. If the vertical 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... | |
 | Euclides - 1874 - 342 pages
...Theorem. If the angle of a triangle be divided into two equal angles, by a straight line which also cute the base; the segments of the base shall have the same ratio which the other sides of the triangle have to one another; and conversely, if the segments of the base... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...Construct a triangle having each of the angles at the base equal to seven times the third angle. 5. (a) If the vertical angle of a triangle be bisected by...which also cuts the base, the segments of the base have the same ratio which the other sides of the triangle have to one another ; and, if the segments... | |
 | Education Department,London - 1876 - 1010 pages
...eight times either of the other two. 2. 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. If all the angles of a triangle be thus... | |
 | Scotland free church, gen. assembly - 1876 - 1072 pages
...according to the binomial theorem. 4. Find the sum of the series l H --- h -5-, etc., to infinity. x z1 If the vertical angle of a triangle be bisected by a straight line, which also счй the base, the segments of the base shall have the same ratio which the other eiclcs of the triangle... | |
 | Euclides, James Hamblin Smith - Geometry - 1876 - 376 pages
...bisects the t,v. <> parallel sides. PROPOSITION III. THEOREM. If the vertical angle of a triangle lie bisected by a straight line, which also cuts the base, the segments of the base must have the same ratio, which the other sides of the triangle have, to one another. B £ no Let /... | |
 | University of Madras - 1876 - 580 pages
...radiua OK and cutting it at the point D ; express DB as a ratio between the chord BC and the radius. VI. If the vertical 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... | |
 | Samuel H. Winter - 1877 - 452 pages
...straight line, ,and find the angles which this line makes with the two sides of the original triangle. 8. If the vertical angle of a triangle be bisected by...the segments of the base shall have the same ratio which the other sides of the triangle have to one another. If ABC be the triangle, A the vertical angle,... | |
 | D. Tierney - 1877 - 126 pages
...sides AB and AC of the given triangle. 8. 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. If ABC be the triangle, A the vertical angle,... | |
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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... 
