 | Edward Rutledge Robbins - Geometry, Plane - 1906 - 268 pages
...hypotenuse. 62. If the diagonals of a quadrilateral are perpendicular to each other, the sum of the squares of one pair of opposite sides is equal to the sum of the squares of the other pair. 63. The sum of the squares of the four sides of a parallelogram is equal... | |
 | Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...hypotenuse. 62. If the diagonals of a quadrilateral are perpendicular to each other, the sum of the squares of one pair of opposite sides is equal to the sum of the squares of the other pair. 63. The sum of the squares of the four sides of a parallelogram is equal... | |
 | Henry Sinclair Hall - 1908 - 286 pages
...intersecting straight lines of unlimited length. 14. In any quadrilateral circumscribed about a circle, the sum of one pair of opposite sides is equal to the sum of the other pnir. State and prove the converse theorem. 15. If a quadrilateral is described about a circle, the... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 304 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 two sides. 7. Inscribe a square in a semicircle and in a quadrant of the same... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 300 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 two sides. 7. Inscribe a square in a semicircle and in a quadrant of the same... | |
 | Duncan M'Laren Young Sommerville - Geometry, Non-Euclidean - 1914 - 291 pages
...reckoned of opposite sign. 3. If a simple quadrilateral is circumscribed about a circle, prove that the sum of one pair of opposite sides is equal to the sum of the other pair of opposite sides. Examine the case of a crossed quadrilateral circumscribed about a circle, equidistant-curve... | |
 | Edward Rutledge Robbins - Geometry, Plane - 1915 - 282 pages
...GEOMETRY 38. If the diagonals of a quadrilateral are perpendicular to each other, the sum of the squares of one pair of opposite sides is equal to the sum of the squares of the other pair. 39. The sum of the squares of the four sides of a parallelogram is equal... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry, Plane - 1915 - 296 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 two sides. 2. Prove that two quadrilaterals are equivalent when they have the... | |
 | University of Aberdeen - 1915 - 944 pages
...sides. 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. 14. Prove that an angle in a semicircle is a right angle ; an angle in an... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry - 1918 - 460 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 two sides. 2. Prove that two quadrilaterals are equivalent when they have the... | |
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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. 
