 | 1856 - 376 pàgines
...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 - 252 pàgines
...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... | |
 | Elias Loomis - 1857 - 242 pàgines
...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 pàgines
...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... | |
 | Sandhurst roy. military coll - 1859 - 672 pàgines
...find the radius of the circle. 2. If an angle of a triangle be bisected by a straight line which also cuts the base, the rectangle contained by the sides...base together with the square of the straight line which bisects the angle. If BAG be the triangle, AD the bisecting line, E the point in which AD meets... | |
 | Thomas Stantial - 1859 - 352 pàgines
...triangles of the same circle. 8. If an angle of a triangle be bisected by a straight line which also cuts the base, the rectangle contained by the sides...base, together with the square of the straight line which bisects the angle. 9. Given the sum of the sides of a triangle and the angles at the base, to... | |
 | Great Britain. Parliament. House of Commons - 1859 - 140 pàgines
...rectilineal figure. 4. 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. 5. Given the perimeter... | |
 | Euclides - 1860 - 288 pàgines
...at the centre, is to four right angles, as the arc subtending it, to the whole circumference. If an angle of a triangle be bisected by a straight line,...the segments of the base, together with the square on the straight line bisecting the angle. Given a triangle ABC, and the angle BAC bisected by the straight... | |
 | Robert Potts - 1860 - 380 pàgines
...BGCto the sector EHF. (v. def. 5.) Wherefore, in equal circles, &c. QED PROPOSITION B. THEOREM. If an angle of a triangle be bisected by a straight line...likewise cuts the base ; the rectangle contained by the tides of the triangle is equal to the rectangle contained by the segments of the base, together with... | |
 | Eucleides - 1860 - 396 pàgines
...VI. 2. ... VI. A. (p. 76). HYPOTHESES. .{ several parallels be drawn to the base of a triangle. .{ an angle of a triangle be bisected by a straight line, which likewise cuts the Idem [fa straight line bisects both the angle and base of a triangle. [f from any angle of a triangle... | |
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If the vertical angle of a triangle be bisected by a straight line which also cute the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the segments of the base, together with the square on the straight... 
