 If from the vertical angle of a triangle three straight lines be drawn, one bisecting the angle, another bisecting the base, and the third perpendicular to the base, the first is always intermediate in magnitude and position to the other two.  An Elementary Treatise on Quaternions - Page 107by Peter Guthrie Tait - 1873 - 296 pagesFull view - About this book
 | Euclides - 1845 - 546 pages
...from one given point to another, subject to the condition, that it shall meet two given lines. 18. Irr the base of a triangle, find the point from which lines, drawn parallel to the sides of the triangle and limited by them, are equal. 19. From a given point in either of the eqyal sides... | |
 | Charles Astor Bristed - 1852 - 470 pages
...reference to the Earth ? PROBLEMS. TRINITY COLLEGE. June, 1843. [4 hours.] 1. IN the base of the angle of a triangle find the point from which lines drawn parallel to the sides of the triangle, and limited by them, are equal. 2. In a triangle ABC let AD bisecting the angle A... | |
 | Robert Potts - 1860 - 380 pages
...base, the first is always intermediate in magnitude and position to the other two. 52. In the oase of a triangle, find the point from which, lines drawn parallel to the sides of the triangle and limited by them, are equal. 53. In the base of a triangle, to find a point from... | |
 | Euclides - 1864 - 448 pages
...perpendicular to the base, the first is always intermediate in magnitude and position to the other two. 52. In the base of a triangle, find the point from which, lines drawn parallel to the sides of the triangle and limited by them, are equal. 53. In the base of a triangle, to find a point from... | |
 | Euclides - 1864 - 262 pages
...perpendicular to the base, the first is always intermediate in magnitude and position to the other two. 52. In the base of a triangle, find the point from which, lines drawn parallel to the sides of the triangle and limited by them, are equal. 53. In the base of a triangle, to find a point from... | |
 | Eli Todd Tappan - 1864 - 288 pages
...the angle of these two lines is equal to the difference of the two acute angles of the triangle. 9. In the base of a triangle, find the point from which lines extending to the sides, and parallel to them, will be equal. 10. To construct a square, having a given... | |
 | Queensland. Department of Public Instruction - 1866 - 336 pages
...is greater than a right angle. ., 40 PROBLEMS. 10. Pivide a right angle into three equal angles. 11. In the base of a triangle, find the point from which lines drawn parallel to the sides of the triangle, and limited by them, are equal. 12. Prove that if two circles cut each other, the... | |
 | Robert Potts - 1865 - 528 pages
...perpendicular to the base, the first is always intermediate in magnitude and position to the other two. 57. In the base of a triangle, find the point from which, lines drawn parallel to the sides of the triangle and limited by them, are equal. 58. In the base of a triangle, to find a point from... | |
 | Peter Guthrie Tait - 1867 - 364 pages
...of any one of them. For any other the vector-side is a + x{) (§ 28), and the proposition appears as (d.) In the base of a triangle find the point from...the sides, any point in the base has the vector p = (l— For the required point which determines x. (1-3')Tc, = Hence the point lies on the line which... | |
 | Robert Potts - 1868 - 434 pages
...perpendicular to the base, the first is always intermediate in magnitude and position to the other two. 52. In the base of a triangle, find the point from which, lines drawn parallel to the sides of the triangle and limited by them, are equal. 53. In the base of a triangle, to find a point from... | |
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