 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...opposite Verniers. PROP. LXXVIII. THEOR. If an angle of a triangle be bisected by a straight line which cuts the base; the rect-angle contained by the sides of the triangle is eyual to the rectangle contained by the seyments of the base, together with, flu Let ABC be a bisect... | |
 | Euclides - 1846 - 292 pages
...QED PROP. B. THEOR. If the vertical angle of a triangle be bisected by a straight line which likewise cuts the base, the rectangle contained by the sides of the triangle shall be equal to the rectangle contained by the segments of the base, together with the square of... | |
 | Euclid, Robert Potts - Euclid's Elements - 1847 - 118 pages
...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 pages
...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 perpendicular and the diameter of the circle described about the triangle. PROP. D. THEOREM. The... | |
 | Euclides - Geometry - 1853 - 176 pages
...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 and the diameter of the circle described about the triangle. LET abc be a triangle,... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...etc. QED PROPOSITION B. THEOR. If an angle of a triangle be bisected by a straight line which likewise cuts the base, the rectangle contained by the sides of the triangle is equal loathe rectangle contained by the segments of the base, together with the square of the straight line... | |
 | Great Britain. Committee on Education - School buildings - 1855 - 976 pages
...extreme and mean ratio. 3. If an angle of a triangle he bisected by a straight line which likewise cuts the base, the rectangle contained by the sides...the rectangle contained by the segments of the base, together with the square of the straight line which bisects the angle. Section 3. 1. Show that equal... | |
 | 1855 - 264 pages
...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...to the rectangle contained by the segments of the ha;e, together with the square of the straight line which bisects the angle. SECT. III.— 1. Show... | |
 | Robert Potts - 1855 - 1050 pages
...sides of the triangle. 6. If from the 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 circumscribing circle. 7. Draw a straight line perpendicular... | |
 | Euclides - 1855 - 270 pages
...&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 and the diameter of the circle described about the triangle. Let AB С be 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 described about the... 
