 | Euclides - 1846 - 292 sider
...rectangle BD, DC, together with the square of AD. Wherefore, If the vertical angle Sfc. QED PROP. C. THEOR. 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... | |
 | Great Britain. Admiralty - 1846 - 128 sider
...Wherefore, if an /_, &c. .•. BA.AC = ED.DA +AD 8 ; and ED. DA = BD. DC ; p rop 6" PROP. LXXIX. THEOR. 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... | |
 | Euclid, Robert Potts - 1847 - 118 sider
...inscribed circle, we may ghew that the rectangle contained by the sum of the perpendiculars and the sum of the sides of the triangle, is equal to the rectangle contained by the sum of the sides, and the sum of the radii of the inscribed and circumscribed circles. 20. Let... | |
 | Euclides - 1848 - 52 sider
...the base, together with the square of the straight line, which bisects the angle. PROP. C. THEOREM. 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... | |
 | Euclides - 1853 - 176 sider
...bd, dc, together with the square of a d. Wherefore, if an angle, &c. QED PROPOSITION C. — THEOREM. 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... | |
 | Royal Military Academy, Woolwich - 1853 - 400 sider
...rectangle BD, DC, together with the square of AD. Wherefore, if an angle, etc. PROPOSITION C. THEOR. 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... | |
 | Euclides - 1855 - 270 sider
...DD С, together with the square of AD (I. Ax. 1). Wherefore, if an angle, &c. QED PROP. С. THEOREM. 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... | |
 | 1855 - 264 sider
...mean ratio. 3. If an angle of a triangle he bisected by a straight line which likewise cuts the hase, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the segments of the ha;e, together with the square of the straight line which bisects the angle. SECT.... | |
 | Robert Potts - 1855 - 1050 sider
...and E are joined with C. Shew that the angle DCE equals half a right angle. ., ., t , £ . -, , 5. If from any angle of a triangle, a straight line be drawn perpendicular to the base; the rectangle contained by the side:-, of the triangle is equal to the rectangle contained by the perpendicular... | |
 | Euclides - 1855 - 230 sider
...likewise cuts the base. • Idem If a straight line bisects both the angle and base of a triangle. If from any angle of a triangle a straight line be drawn perpendicular to the base. If in a right-angled triangle, a perpendicular be drawn from the right angle to the base. Idem If a... | |
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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. 
