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. Reports on Elementary schools - Page 808by Her MAjesty' Inspectors of schools - 1850Full view - About this book
| Euclides - 1821
...side is the same.. For it is the O2 of the perpendicular. ,. • PROP. 48. TIIEOR. Jf the square of **one side of a triangle be equal to the sum of the squares** of the other troo sides, the angle opposite to that side is a right angle. From the vertex of this... | |
| George Lees - Algebra - 1826 - 207 pages
...triangle, SeC. QED Cor. If the square described upon one of the sides of a triangle, be equivalent **to the sum of the squares described upon the other two sides,** the angle contained by these twq sides is a right angle. ELEMENTS OF GEOMETRY. BOOK II. DEFINITIONS.... | |
| George Darley - Geometry - 1828 - 169 pages
...calculations ; which calculations, however, depend on the principles of Geometry and Trigonometry. AHT. 132. " **If the square described upon one side of a triangle be equal to the** squares described on the other sides of the triangle, taken together, the angle opposite to thejirstmentioned... | |
| Timothy Walker - Geometry - 1829 - 129 pages
...polygon. 108. THEOKEM. — The square described upon the hypothenuse of a right triangle is equivalent **to the sum of the squares described upon the other two sides.** This is the celebrated proposition, with the discovery of which Pythagoras is said to have been so... | |
| James Hayward - Geometry - 1829 - 172 pages
...c8, that is — The square described upon the hypothenuse of a right-angled triangle, is equivalent **to the sum of the squares described upon the other two sides.** 173. We may demonstrate this truth from the areas immediately, without referring the lines to numbers,... | |
| Pierce Morton - Geometry - 1830 - 272 pages
...to the turn of the squares of the sides which contain that angle : and conversely, if the square of **one side of a triangle be equal to the sum of the squares** of the other two sides, the angle contained by these two sides shall be a right angle. Let AB С be... | |
| John Martin Frederick Wright - Astronomy - 1831
...cycloid. TRINITY COLLEGE, MAY 1828. 1 . IP the square described upon one of the sides of a triangle is **equal to the sum of the squares described upon the other two** ; the angle contained by these two is a right angle. 2. In a given circle to inscribe a triangle equiangular... | |
| Euclid, Thomas Elrington - Geometry - 1833 - 183 pages
...Fig. 71. PROP. XLVIII. THEOR. Fig. 72. If the square described upon one side (AC] of a triangle (ABC) **be equal to the sum of the squares described upon the other two sides** (AB andBC), the angle (ABC) opposite to that side is a right angle. 1 i ) SchoL From the point B draw... | |
| Olinthus Gregory - 1833 - 427 pages
...square of the hypothenuse is equal to the sum of the squares of the two sides. 17. If the square of **one side of a triangle be equal to the sum of the squares** of the other two sides ; then the angle comprehended by them is a right angle. 18. If an angle A, of... | |
| Thomas Perronet Thompson - Euclid's Elements - 1833 - 150 pages
...was to be demonstrated. PROPOSITION XLVIII. THEOREM. — If the square described on one of the sides **of a triangle, be equal to the sum of the squares described** on the other two sides of it; the angle made by those two sides is a right angle. Let ABC be a triangle,... | |
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