 | Alan Sanders - 1903 - 392 σελίδες
...PROPOSITION XI. THEOREM 643. The square described on the hypotenuse of a rightangled triangle is equivalent to the sum of the squares described on the other two sides. Let ABC be a right-angled triangle. To Prove ~Bi? = AJ? + AC* Proof. Describe squares on the three... | |
 | Euclid - 1904 - 488 σελίδες
...fill up the square DC. PROPOSITION 48. THEOREM. If the square described on one side of a triangle be equal to the sum of the squares described on the other two sides, then the angle contained by these two sides shall be a right angle. BC Let ABC be a triangle ; and... | |
 | Jacob Henry Minick, Clement Carrington Gaines - 1904 - 412 σελίδες
...with the base. 438. To find the Hypotenuse. It is seen that the square described on the hypotenuse is equal to the sum of the squares described on the other two sides. Hence. RULE. — Add the square of the lose to the square of tJie perpendicular, and extract the square... | |
 | David Sands Wright - 1906 - 104 σελίδες
...given triangles. 25. Theorem. The square described on the side of a triangle opposite an acute angle is equal to the sum of the squares described on the other two sides diminished by twice the product of one of those sides by the projection of the other side upon it.... | |
 | International Correspondence Schools - 1906 - 634 σελίδες
...Theorem or Pythagoras. — In any right triangle, the square described on the hypotenuse is equivalent to the sum of the squares described on the other two sides. Let ABC, Fig. 38, be a right triangle. Draw an equal triangle in the position C B' C', so that C B'... | |
 | Charles Gardner Wheeler - 1907 - 594 σελίδες
...the squares of the two sides. (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.) You can measure the diagonal directly from a plan if you understand mechanical drawing well enough... | |
 | Walter Percy Workman - 1908 - 228 σελίδες
...two sides ...... (Euc I. 47) 212 RT.2''. — -If the square described ou one side of a triangle is equal to the sum of the squares described on the other two sides, the angle contained by these two sides is a right angle. (Euc. I. 48) 213 BT.3.t — In a right-angled... | |
 | Henry Sinclair Hall - 1908 - 286 σελίδες
...from A ? GEOMETRY. THEOREM 30. [Euclid I. 48.] If the square described on one side of a triangle is equal to the sum of the squares described on the other two sides, then the anglt contained by these two sides is a right angle. Let ABC be a triangle in which the sq.... | |
 | 1909 - 870 σελίδες
...PRINCIPLE OF THE RIGHT TRIANGLE 58. In any right triangle, the square described on the hypotenuse is equal to the sum of the squares described on the other two sides. If ABC, Fig. 48, is a right triangle, Pl°- 48 right angled at B, then the square described on the... | |
 | 1911 - 1334 σελίδες
...parallels, are equal in area. 4. In a right-angled triangle the square described on the hypotenuse is equal to the sum of the squares described on the other two sides. 6. If from a point O within a triangle A, B, C, perpendiculars OX, OY, OZ, are drawn to the sides BC,... | |
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The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides. 
