 | John Playfair - Euclid's Elements - 1832 - 358 pages
...was to be done. PROP. XXXI. THEOR. Inright angled triangles, the rectilineal figure described vpon the side opposite to the right angle, is equal to...figures upon the sides containing the right angle. Let ABC be a right angled triangle, haying the right angle BAG: The rectilineal figure described upon... | |
 | Euclides - 1834 - 518 pages
...Which was to be done. PROPOSITION XXXI. THEOR. — In right-angled triangles, the rectilineal Jigure described upon the side opposite to the right angle, is equal to the similar and similarly described Jigures upon the tidet containing the right angle. Dra;v the perpendicular t AD: therefore, because... | |
 | 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...figures upon the sides containing the right angle. Let ABC be a right angled triangle, having the right angle BAG : The rectilineal figure described upon... | |
 | Mathematics - 1836 - 488 pages
...is the square which is described on half the line. XXXI. In right angled triangles, the rectilineal figure described upon the side opposite to the right...figures upon the sides containing the right angle. XXXII. if two triangles, which have two sides of the one proportional to two sides of the other, be... | |
 | John Playfair - Geometry - 1836 - 148 pages
...C (2. 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...figures upon the sides containing the right angle. Let ABC be a right angled triangle, having the right angle B AC ; the rectilineal figure described... | |
 | Mathematics - 1836 - 366 pages
...prove 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...figures upon the sides containing the right angle. 18. If a straight line be at right angles to a plane, every plane passing through it shall be at right... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...medial section (II. Def. 6). PROPOSITION XXXI. THEOREM. In right-angled triangles, the rectilineal figure described upon the side opposite to the right...figures upon the sides containing the right angle. Let ABC be a right-angled triangle, having the right angle BAG ; the rectilineal figure described upon... | |
 | 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... | |
 | Robert Simson - Geometry - 1838 - 434 pages
...(3. def. 6.). Which was to be done. PROP. XXXI. THEOR. Iff right angled triangles, the rectilineal figure described upon the side opposite to the right...figures upon the sides containing the right angle.* * See Note. Let ABC be a right angled triangle, having the right angle BAG ; the rectilineal figure... | |
 | Euclides - 1838 - 264 pages
...proportion in C.* Which was to be done. PROP. XXXI. THEOR. In right angled triangles, the rectilineal figure described upon the side opposite to the right...figures upon the sides containing the right angle. Let ABC be a right angled triangle, having the right angle BAC : the rectilineal figure described upon... | |
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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... 
