 | Robert Potts - 1863 - 482 σελίδες
...vorger Zeit gestanden, .... to .... Dies iiihl'ich jetzt in mir zuriicke kommen. TIECK. VII. 1. If a square described on one of the sides of a triangle be equal to the squares described on the other two sides of it, the angle contained by these two sides is a right angle.... | |
 | Adrien Marie Legendre - 1863 - 464 σελίδες
...CBK PROPOSITKOT XL THEOREM. The square described on the hypothemcse of a right-angled triangle, is equal to the sum of the squares described on the other two sides. Let ABC be a triangle, right-angled at A : then will BCZ = AB2 + AC\ Construct the square BCr on the... | |
 | 1863 - 876 σελίδες
...necessary to prove that 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, every time that he attempts to square a building. It is enough for him to know that this truth has... | |
 | Benjamin Greenleaf - 1863 - 504 σελίδες
...— THEOREM. 237. 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... | |
 | Evan Wilhelm Evans - 1862 - 116 σελίδες
...trapezoid, etc. THEOREM XIX. The square described on the hypotenuse of a rightangled triangle is equivalent to the sum of the squares described on the other two sides. H Let ABC be a triangle right-angled at B. It is to be proved that the square AEDC is equivalent to... | |
 | James Stewart Eaton - 1864 - 322 σελίδες
...B Base. SQUARE ROOT. The square described Fig. 2. on the hypothenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides. Also the square of either of the two sides which form the right angle is equal to the square of the... | |
 | Eli Todd Tappan - 1864 - 288 σελίδες
...Theorem. — The square described on the side opposite an obtuse angle of a triangle, is equivalent to the sum of the squares described on the other two sides, increased by twice the rectangle of one of those sides and the projection of the other on that side.... | |
 | William Harris Johnston - 1865 - 478 σελίδες
...right-angled triangle has this important property that " the square described on the hypotenuse is equal to the sum of the squares described on the other two sides," that is, the square on the side opposite to the right angle equals in area the sum of the squares on... | |
 | James Stewart Eaton - 1868 - 356 σελίδες
...two circle*? 11. The square de- ^ Fig. 12. scribed on the hypothenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides. Also the square of either of the two sides which form the right angle is equal to the square of the... | |
 | James Pyle Wickersham - 1865 - 504 σελίδες
...the same altitude;" "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;" &c., &c. A well-graded course of instruction of this kind, if judiciously given, would furnish very... | |
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If the square described on one of the sides of a triangle be equal to the squares described on the other two sides of it, the angle contained by these two sides is a right angle. 
