 | William James Milne - Arithmetic - 1906 - 364 pages
...of the hypotenuse compare with the number of units in the sum of the squares of the other two sides? The square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. WRITTEN EXERCISES 533. 1. Find the hypotenuse of this... | |
 | William James Milne - Arithmetic - 1907 - 616 pages
...the hypotenuse compare with the number of units in the sum of the squares of the other two sides ? The square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. WRITTEN EXERCISES 649. 1. Find the hypotenuse of this... | |
 | Clement Vavasor Durell - Geometry, Plane - 1909 - 244 pages
...AC; prove that <z = s/2 (b~c). 49. Prove that three times the sum of the squares of the sides of a triangle is equal to four times the sum of the squares of the medians. 50. If ABCD is a parallelogram, prove that 51. P, Q are the mid-points of the diagonals AC, BD of the... | |
 | Bertha Johnston, E. Lyell Earle - Education - 1893 - 880 pages
...which is revealed to us in greater beauty than we ever saw it before. Yes, the formula is the same: "The square of the hypotenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides" (book iv, p. xi); but it is our own now more... | |
 | Humanities - 1917 - 970 pages
...which h and («. are sides. As [p*8]2 is itself an invariant [p<8]2 — *js/«2 is an invariant and is equal to four times the sum of the squares of the areas of the triangles on 8 and h and on h and H-. We can therefore set up the following list of five... | |
 | American Academy of Arts and Sciences - Humanities - 1917 - 978 pages
...which h and |i are sides. As [p<8]2 is itself an invariant [K-X8]2 — 3>2s/«2 is an invariant and is equal to four times the sum of the squares of the areas of the triangles on 8 and h and on h and pt. We can therefore set up the following list of five... | |
 | American Academy of Arts and Sciences - Humanities - 1917 - 1060 pages
...of which h and ft are sides. As [p<6]2 is itself an invariant [p<8]* — 4>2s/a2 is an invariant and is equal to four times the sum of the squares of the areas of the triangles on 8 and h and on h and |t. We can therefore set up the following list of five... | |
 | A. Szabó - History - 1978 - 378 pages
...theorem.30 rgiycovov Sgdoyavlov -ff rr)v dgv^v ycovlav vnorelvovaa law dtivarai rats neoie%(ri0ais. "The square of the hypotenuse of a right-angled triangle is equal to (icrov dvvarat) the sum of the (squares of) the other two sides." It might be concluded from this that... | |
 | G.E. Martin - Mathematics - 1997 - 536 pages
...nor thirty centuries, affect the clearness, or the charm, of Geometrical truths. Such a theorem as "the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the sides" is as dazzlingly beautiful now as it was in the day when Pythagoras... | |
 | S©ıren Kierkegaard - Philosophy - 1985 - 400 pages
...of a mathematical demonstration fully resembles the beginning. The one who begins says, for example: The square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. The one who ends says exactly the same, only adding:... | |
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The square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. 
