 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...  A Supplement to the Elements of Euclid - Page 366by Daniel Cresswell - 1819 - 410 pagesFull view - About this book
 | 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,... | |
 | John Playfair - Geometry - 1855 - 334 pages
...+DA2. PROP. C. THEOR. If from any anglt of a triangle a straight line be drawn perpendicular to tht base; the rectangle contained by the sides of the triangle is equal to the rectangle contained by the perpendicular, and the diameter of thc circle described about the triangle. Let ABC be a triangle,... | |
 | Cambridge univ, exam. papers - 1856 - 252 pages
...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 pages
...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 pages
...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 - Conic sections - 1857 - 242 pages
...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 - Conic sections - 1858 - 256 pages
...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... | |
 | Thomas Stantial - Examinations - 1859 - 352 pages
...mean proportional between the inscribed and circumscribed equilateral triangles of the same circle. 8. If an angle of a triangle be bisected by a straight...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... | |
 | Sandhurst roy. military coll - 1859 - 672 pages
...pentagon in a given circle. Given the side of the pentagon, 10 feet, find the radius of the circle. 2. If an angle of a triangle be bisected by a straight...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... | |
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