 | Benjamin Greenleaf - Geometry - 1874 - 206 pages
...E THEOREM IX. 195. The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides. Let ABC be a right-angled triangle, having the right angle at A ; then the square described on the... | |
 | William Alexander Willock - Circle - 1875 - 196 pages
...corresponding segment OC lies outside and away from the angle C of the triangle. 18. If the Square of One Side of a Triangle be equal to the Sum of the Squares of the other Two Sides, the angle opposite that side is a right angle. This follows immediately from... | |
 | Lorenzo Fairbanks - 1875 - 472 pages
...the third side. THEOREM. — The square described on the hypothenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides. COROLLARY. — The square of either side about the right angle is equal to the square of the hypothenuse... | |
 | Education - 1875 - 398 pages
...• 3. PROPOSITION. The square described on the hypothenuse of a right angled triangle is equivalent to the sum of the squares described on the other two sides. 4. PROPOSITION. If the diagonals of a quadrilateral bisect each other the figure is a parallelogram.... | |
 | Education Department,London - 1876 - 1010 pages
...are together greater than the third. What is the reason for the limitation in the data Î SECTION П. 1. If the square described on one side of a triangle be equal to the squares described on the other two sides, the angle contained by these two sides is a right angle.... | |
 | George Cary Eggleston - Boys - 1876 - 234 pages
...that line because I know that the square described on the hypothenuse of a right angled triangle is equal to the sum of the squares described on the other two sides." " Whew ! it fairly takes the breath out of a fellow to hear you rattle that off," replied Sid. " Come,"... | |
 | George Cary Eggleston - Adventure stories - 1876 - 238 pages
...that line because I know that the square described on the hypothenusc of a right angled triangle is equal to the sum of the squares described on the other two sides." " Whew ! it fairly takes the breath out of a fellow to hear you rattle that off," replied Sid. " Come,"... | |
 | Joseph Ray - Arithmetic - 1877 - 350 pages
...3025. 55. 4. Proposition. — The square described on the hypotenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides. Draw a right-angled triangle, ABC, with the side BC 4 in., and the side AC 3 in.; then, the side AB... | |
 | Elias Loomis - Conic sections - 1877 - 458 pages
...PROPOSITION XI. THEOREM. In any right-angled triangle the square described on the hypothenuse is equivalent to the sum of the squares described on the other two sides. Let ABC be a right-angled triangle, having the right angle BAC ; the square described upon the side... | |
 | William Henry Harrison Phillips - Geometry - 1878 - 236 pages
...PYTHAGOREAN PROPOSITION. Theorem. The square described upon the hypothenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides. HYPOTH. In the triangle ABC ZB AC = R. To HE PROVED. BC- / \ n PROOF. On the sides of the triangle... | |
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If the square described on one side of a triangle be equal to the sum of the squares described on the other two sides, the angle contained by these two sides is a right angle. 
