 | Euclides - Euclid's Elements - 1881 - 236 pages
...angle, &c. QED If from any angle of a triangle a straight line he drawn perpendicular to the bate ; the rectangle contained by the sides of the triangle is equal to the rectangle contained by the perpendicular end the diameter of the circli described about the triangle. • Let ABC be a triangle,... | |
 | Samuel Constable - Geometry - 1882 - 222 pages
...last.] 13. Prove that the rectangle contained by a side of this square and a line equal to the sum of the sides of the triangle is equal to the rectangle contained by the sides. 14. Inscribe a square in any triangle; and prove that the rectangle contained by a side... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...PROPOSITION C. THEOREM. If from the vertical angle of a triangle a straight line be drawn perpendicular to the base, the rectangle contained by the sides of...the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle described about the triangle. Let ABC be a triangle,... | |
 | Euclides, James Hamblin Smith - 1883 - 376 pages
...bisected by a straight line, which likeirise cuts the base ; the rectangle, contained by the »ides of the triangle, is equal to the rectangle, contained by the segments of the base, together with the square on the line bisecting the angle. A Let / BAC of the A ABC be bisected by the... | |
 | Woolwich roy. military acad - 1884 - 148 pages
...the triangle. 11. If from the vertical angle of a triangle a straight line be drawn perpendicular to the base, the rectangle contained by the sides of...the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle described about the triangle. II. ARITHMETIC. (Including... | |
 | Euclides - 1884 - 434 pages
...to that included by them. If from the vertical angle of a triangle a perpendicu1ar be drawn to tJie base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle circumscribed about the triangle. A Let ABC be a triangle,... | |
 | John James Milne - 1885 - 392 pages
...(?) + sin3 В cos (C - A} + sin3 С cos (A - £)}. 5. If the vertical angle of a triangle be bisected by a straight line which also cuts the base, the rectangle...the triangle is equal to the rectangle contained by two lines equally inclined to the bisector, one terminated by the base and the other by the rircum-uircle.... | |
 | 1885 - 522 pages
...paper.) I. — 1. If from the vertical angle of a triangle a straight line be drawn perpendicular to the base, the rectangle contained by the sides of...the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle described about the triangle. 2. Prove that the tangent... | |
 | 1887 - 644 pages
...the circumference of the circumscribing circle. 15. If the vertical 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 that contained by the segments of the base together with the square on the straight line which bisects... | |
 | E. J. Brooksmith - Mathematics - 1889 - 356 pages
...parallelogram ABCD. n. If from the vertical angle of a triangle a straight line be drawn perpendicular to the base, the rectangle contained by the sides of...the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle described about the triangle. II. ARITHMETIC. [NB... | |
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If from the vertical angle of a triangle a straight line be drawn perpendicular to the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle described about the... 
