 | Royal Military Academy, Woolwich - 1853 - 400 σελίδες
...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 - 1855 - 976 σελίδες
...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...base, together with the square of the straight line which bisects the angle. Section 3. 1. Show that equal triangles on equal bases have equal altitudes,... | |
 | 1855 - 264 σελίδες
...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 σελίδες
...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 σελίδες
...&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,... | |
 | Cambridge univ, exam. papers - 1856 - 252 σελίδες
...given rectilineal figure. 6. 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. The rectangle contained... | |
 | 1856 - 376 σελίδες
...ratios of their sides. 3. 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 deseribed about the triangle. SECT. II. — I . If... | |
 | Cambridge univ, exam. papers - 1856 - 200 σελίδες
...proportional between them. 6. 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 ia equal to the rectangle contained by the segments of the base, together with the square of the straight... | |
 | Elias Loomis - 1857 - 242 σελίδες
...external segments. PROPOSITION XXIX. THEOREM. If an angle of a triangle be bisected by a line which cuts the base, the rectangle contained by the sides of the triangle, is equivalent to the rectangle contained by the segments of the. base, together with the square of the... | |
 | Elias Loomis - 1858 - 256 σελίδες
...external segments. PROPOSITION XXIX. THEOREM. If an angle of a triangle be bisected by a line which cuts the base, the rectangle contained by the sides of the triangle, is equivalent to the rectangle contained by the segments of the. base, together with the square of the... | |
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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... 
