 | James Hayward - Geometry - 1829 - 218 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,... | |
 | John Martin Frederick Wright - Astronomy - 1831 - 282 pages
...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 - Euclid's Elements - 1833 - 216 pages
...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... | |
 | Thomas Perronet Thompson - Euclid's Elements - 1833 - 168 pages
...angle. Let ABC be a triangle having the right angle BAG. The square described on the side BC which is opposite to the right angle, is equal to the sum of the squares described on the sides BA, AC, between which is the right angle. On BC describe* the square... | |
 | Mathematics - 1835 - 684 pages
...Triangles. PROP. 36. (Eue. i. 47. and 48.) In every right-angled triangle, the square of the hypotenuse, or side opposite to the right angle, is equal to the sum of the squares of the sides which contain that angle : and conversely, if the square of one side of a triangle... | |
 | Euclid - 1835 - 540 pages
...to be done. PROP. XXXI. THEOR. In right angled triangles, the rectilineal figure de- See N. scribed upon the side opposite to the right angle, is equal to the similar, and similarly described figures upon the sides containing the right angle. Let ABC be a right... | |
 | John Playfair - Geometry - 1836 - 148 pages
...Def. 5.). Which was to be done. PROP. XXVI. THEOR. In right angled triangles the rectilineal figure described upon the side opposite to the right angle, is equal to the similar, and similarly described figures upon the sides containing the right angle. Let ABC be a right... | |
 | Mathematics - 1836 - 488 pages
...square which is described on half the line. XXXI. In right angled triangles, the rectilineal figure described upon the side opposite to the right angle, is equal to the similar, and similarly described figures upon the sides containing the right angle. XXXII. if two triangles,... | |
 | Mathematics - 1836 - 366 pages
...the area or a triangle to be equal to — 0 ? £ 17. In right-angled triangles the rectilineal figure described upon the side opposite to the right angle, is equal to the similar and similarly described figures upon the sides containing the right angle. 18. If a straight... | |
 | Charles Reiner - Geometry - 1837 - 254 pages
...is equal to the square hb + sq. b g. M.—Express fully, in words, the truth you have demonstrated. upon the side opposite to the right angle, is equal to the sum of the squares described upon the sides containing the right angle. ,^—If required to construct a square... | |
| |
IN right angled triangles, the rectilineal figure described upon the side opposite to the right angle, is equal to the similar and similarly described figures upon the sides containing the right angle... 
