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" The sum of the squares on the sides of a parallelogram is equal to the sum of the squares on the diagonals. "
Elements of Geometry - Page 54
by Adrien Marie Legendre - 1825 - 224 pages
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Riders in Geometry

Thomas Hadyn Ward Hill - 190 pages
...Y^*. Similarly, for CG = AG = BG, for an equilateral triangle, Prove that the sum of the squares on the sides of a parallelogram is equal to the sum of the squares on its diagonals. AB Ideas: (i) Sum of squares suggests Pythagoras' or Apollonius' Theorem....
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Annual Report of the Public Schools of the Province of British Columbia

British Columbia. Superintendent of Education - 1897 - 710 pages
...bisect their common tangent. 9. Trisect a given finite straight line. 10. The sum of the squares on the sides of a parallelogram is equal to the sum of the squares on the diagonals. ZOOLOGY. (For Second Class, Grade A.) Friday, July 10th; 1:30 pm to 3:30...
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A First Course of Geometry

130 pages
...the mid-points of the sides BC, CA, AB of the triangle ABC, show that 4. The sum of the squares on the sides of a parallelogram is equal to the sum of the squares on the diagonals. ©amfcrtoge : PRINTED BY JOHN CLAY, MA AT THE UNIVERSITY PRESS Mathematics,...
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Solutions of the Exercises in Tyler's Euclid

268 pages
...constant. .: locus of A is a circle whose centre is the mid. pt. of BC. 1 61 , 3. The sum of the squares on the sides of a parallelogram is equal to the sum of the squares on the diagonals. Let ABCD be a grain, whose diagonals bisect each other at O (91,1). Now sqs...
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