 | Euclides - 1884 - 434 pages
...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, AD the perpendicular from A on the... | |
 | Woolwich roy. military acad - 1884 - 148 pages
...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 the use of Common Logarithms.) [NB—Great... | |
 | Euclides - 1885 - 322 pages
...and at a distance from it = the given perpendicular. 47. Since the rectangle contained by the sides = the rectangle contained by the perpendicular and the diameter of the circumscribed circle, the diameter of the circumscribed circle may therefore be found, and the circle described. In it a... | |
 | 1885 - 520 pages
...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 to a parabola at any point is the bisector... | |
 | Euclid, John Casey - Euclid's Elements - 1885 - 340 pages
...exceeding thesquare on half the given line. 3. The rectangle contained by the sum and the difference of two sides of a triangle is equal to the rectangle contained by the base and the difference of the segments of the base, made by the perpendicular from the vertex.... | |
 | E. J. Brooksmith - Mathematics - 1889 - 356 pages
...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. [Name your authority in all cases where you do not follow Euclid.]... | |
 | Royal Military College, Sandhurst - Mathematics - 1890 - 144 pages
...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, whose perimeter is constant, are given... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...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 xr to BC, then rect. BA, AC = rect. contained... | |
 | Euclid - Geometry - 1892 - 460 pages
...line be drawn perpendicular to the base, the rectangle contained by the sides of the triangle shall be equal to the rectangle contained by the perpendicular and the diameter of the circle described about the triangle. Let ABC be a triangle, and let AD be the perp. from A to BC: then... | |
 | Henry Martyn Taylor - 1893 - 486 pages
...from a vertex of a triangle to the opposite side, the rectangle contained by the otlter sides of the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle described about the triangle. Let AD be the perpendicular drawn from the vertex A of the given... | |
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If from any 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. 
