 | Robert Potts - 1868 - 434 σελίδες
...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,... | |
 | Elias Loomis - 1871 - 302 σελίδες
...by a line which cuts t/ie bast., 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 bisecting line. Let ABC be a triangle, and let the angle BAC be bisected by the straight line AD; the... | |
 | Euclides - 1871 - 136 σελίδες
...joining the middle points of the diagonals. 7. If the square on one perpendicular from the vertex of a triangle is equal to the rectangle contained by the segments of the base, the vertical angle is a right angle. 8. Produce a given straight line so that the rectangle contained... | |
 | Euclides, James Hamblin Smith - 1872 - 376 σελίδες
...ti. 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...triangle, is equal to the rectangle, contained by the perpendicular and the diameter of the circle described about the triangle. Let ABC be a, A , and... | |
 | University of Madras - 1873 - 436 σελίδες
...which meets the base, the rectangle under the two sides of the triangle is equal to the rectangle under the segments of the base together with the square of the straight line which bisects the vertical angle. XII. If O be the centre of a circle, PQR a tangent to it at F, and... | |
 | Francis Cuthbertson - 1874 - 400 σελίδες
...square on AQ. THEOREM (g). If from the vertex 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 about the triangle. Let ABC be the given A, ABRC the... | |
 | Braithwaite Arnett - 1874 - 130 σελίδες
...given ratio. ' 11. 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. Prove that the ratio... | |
 | Euclides - 1874 - 342 σελίδες
...PROPOSITION 0. — 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,... | |
 | University of Madras - 1876 - 580 σελίδες
...the point D ; express DB as a ratio between the chord BC and the radius. VI. If the vertical angle of a triangle be bisected by a straight line which likewise...the segments of the base, together with the square on the straight line which bisects the angle. FRIDAY, 24TH DEC., 2 TO 5 PM ARITHMETIC. EP METCALFE,... | |
 | Euclides, James Hamblin Smith - 1876 - 376 σελίδες
...PROPOSITION B. THEOREM. If an angle, of a triangle be bisected by a straight line, which likeivise cuts the base ; the rectangle, contained by the sides...the segments of the base, together with the square on the line bisecting the angle. A Let s. BAG of the A ABC be bisected by the st. line AD. Then rect.... | |
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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... 
