 | 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,... | |
 | 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
...С cos (A - £)}. 5. If the vertical angle of a triangle be bisected by a straight line which also cuts the base, the rectangle contained by the sides...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
...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... | |
 | Education - 1890 - 714 pages
...triangle similar to a given triangle. 3. If the vertical angle of a triangle be bisected by a line which cuts the base, the rectangle contained by the sides...the segments of the base, together with the square on the straight line which bisects the angle. 4. What fraction of a right angle will the angles of... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...one enunciation. PROPOSITION C. THEOREM. If from any angle of a triangle a perpendicular be drawn 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. In A ABC let AD be drawn... | |
 | Royal Military College, Sandhurst - Mathematics - 1890 - 144 pages
...from the vertical angle of a triangle a straight line is drawn perpendicular to the base, prove that 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. 7. Two sides of a triangle,... | |
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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... 
