 | Edinburgh Mathematical Society - Electronic journals - 1894 - 234 pages
...of concurrency of the triads IDj, I3E„ I„F1 ; and so on. (18) The quadrilaterals A FIE, BDIF, С EID are such that circles may be inscribed in them....radii of the circles inscribed in the quadrilaterals •(• AFIE, BDIF, CEID be denoted by Pt, />„, Рз, /э2 r/\p3 r/ \p3 r /\pi r/ \ft г/\рг FIGURE... | |
 | V Krishnamurthy, C R Pranesachar - Mathematics - 2007 - 708 pages
...are D, £, F prove that the sides of ADEF are parallel to the sides of AABC. If in a quadrilateral, the sum of one pair of opposite sides is equal to the sum of the other pair, prove that a circle can be inscribed in it. (See problem 4- Problems Ch. 3) 26. If a circle can be... | |
 | 228 pages
...BA = 5 cm., AC=7 cm., BC=§ cm. 22. Prove that (i) if a quadrilateral is circumscribed to a circle, the sum of one pair of opposite sides is equal to the sum of the other pair, (ii) if a quadrilateral is escribed to a circle, the difference of one pair of opposite sides is equal... | |
 | 356 pages
...CD2-AB2=BC2+A1P. 2. If the diagonals of a quadrilateral are perpendicular, shew that the sum of the squares of one pair of opposite sides is equal to the sum of the squares of the other pair. 3. ABCD is a quadrilateral such that if BA, CD were produced they would... | |
 | 388 pages
...connector of the middle points of the diagonals of a quadrilateral the sum of the areas subtended by one pair of opposite sides is equal to the sum of the areas subtended by the other pair. Let A', L, M be the middle points of the diagonals BD, AC and EF... | |
 | Thomas Tate (Mathematical Master, Training College, Battersea.) - 1860 - 404 pages
...If the diagonals of a quadrilateral intersect at right angles, prove that the sum of the squares on one pair of opposite sides is equal to the sum of the squares on the other pair of opposite sides. Links | To B I 800 100 i 700 400 300 300 200 300 100 From... | |
 | 352 pages
...If the diagonals of a quadrilateral intersect at right angles, prove that the sum of the squares on one pair of opposite sides is equal to the sum of the squares on the other pair of opposite sides. 4. Construct a triangle ADE such that AD, DE, EA measure... | |
 | 268 pages
...119,2. The diagonals of a quadrilateral intersect at right angles. Prove that the sum of the squares on one pair of opposite sides is equal to the sum of the squares on the other pair. Let ABCD be a quad., whose diagonals intersect at rt. L s in E. Then sq.... | |
 | Euclid - 1845 - 336 pages
...triangle DEC. 2. If the diagonals of a quadrilateral be at right angles, the sum of the squares on one pair of opposite sides is equal to the sum of the squares on the other pair. 3. The sides AB, AD of the rhombus ABCD are bisected in E, F, respectively;... | |
 | Geometry - 1973 - 204 pages
...It the diagonals of a quadrilateral intersect at right angles, prove that the sum of the squares on one pair of opposite sides is equal to the sum of the squares on the other pair of opposite sides. 4. Construct a triangle ADE such that AD, DE, EA measure... | |
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The diagonals of a quadrilateral intersect at right angles. Prove that the sum of the squares on one pair of opposite sides is equal to the sum of the squares on the other pair. 
