 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...  The Bombay University Calendar - Page 65by University of Bombay - 1906Full view - About this book
 | Benjamin Greenleaf - Geometry - 1861 - 638 pages
...multiplied by twice the diameter of the circumscribed circle. PROPOSITION XXXVIII. — THEOREM. 291. The rectangle contained by the diagonals of a quadrilateral inscribed in a circle is equivalent to the sum of the two rectangles of the opposite sides. Let ABCD be any quadrilateral inscribed... | |
 | Benjamin Greenleaf - Geometry - 1862 - 518 pages
...multiplied by twice the diameter of the circumscribed circle. PROPOSITION XXXVIII. — THEOREM. 291. Tlie rectangle contained by the diagonals of a quadrilateral inscribed in a circle is equivalent to the sum of the two rectangles of the opposite sides. Let ABCD be any quadrilatoral inscribed... | |
 | Benjamin Greenleaf - Geometry - 1863 - 504 pages
...multiplied by twice the diameter of the circumscribed circle. PROPOSITION XXXVIII. — THEOREM. 291. The rectangle contained by the diagonals of a quadrilateral inscribed in a circle is equivalent to the sum of the two rectangles of the opposite sides. Let ABCD be any quadrilateral inscribed... | |
 | Woolwich roy. military acad - 1864 - 588 pages
...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...diameter of the circle described about the triangle. If ABC be the triangle, BE the perpendicular from B on AC, BO the diameter of the circle, and if from... | |
 | Euclides - 1864 - 448 pages
...base ; the rectangle contained bg the sides of the triangle is equal to the rectangle contained bg the perpendicular and the diameter of the circle described about the triangle. Let ABC be a triangle, and AD the perpendicular from the angle A to the base BC. The rectangle .B.4,... | |
 | Robert Potts - 1865 - 528 pages
...te drawn perpendicular to the base ; the rectangle contained by the sides of the triangle is equal to the rectangle contained by the perpendicular and...diameter of the circle described about the triangle. Let ABC be a triangle, and AD the perpendicular from the angle A to the base BC. The rectangle BA,... | |
 | Euclides - 1865 - 402 pages
...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 Nrat the triangle. Prop. D. The rectangle contained by the diagonals of a quadrilateral figure inscribed... | |
 | James Robert Christie - Mathematics - 1866 - 428 pages
...= (a + x)'(2a — ж). E. • '» L GEOMETRY. 1. In a circle, the angle in a semicircle is <fec. 2. The rectangle contained by the diagonals of a quadrilateral inscribed in a circle is equal to both the rectangles contained by its opposite sides. 3. If, in a circle, an equilateral polygon be... | |
 | John Playfair - Geometry - 1855 - 350 pages
...consequently the rectangle BA.AC is equal (16. 6.) to <be rectangle EA.AD. PROP. D. THEOR. The Ttttangl*. contained by the diagonals of a quadrilateral inscribed in a circle, is equal to both the rectangles, contained by ut opposite sides, I >et ABCD bo any quadrilateral inscribed in a... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...lie drawn perpendicular to the base, the rectangle contained by the sides of the triangle is- equal to the rectangle contained by the perpendicular and...diameter of the circle described about the triangle. Let ABC be a triangle, and let AD be the perpendicular from the angled to the base BC: the rectangle... | |
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