 | Francis James Jameson - Mathematics - 1851 - 144 pages
...which is absurd. Therefore CE = ED. 1851. (A}. In any right-angled triangle, the square described upon the side subtending the right angle is equal to the...described on the sides which contain the right angle. (l. 47.) (B). If ABC be a triangle whose angle A is a right angle, and BE, CF be drawn bisecting the... | |
 | 1851 - 268 pages
...than the other two sides of the triangle, but shall contain a greater angle. 2. In any right angled triangle the square which is described on the side sub-tending the right angle is equal to the sum of the squares described upon the sides which contain the right angle. 3. If a straight line be... | |
 | Harvey Goodwin - Mathematics - 1851 - 196 pages
...meeting AB in E ; shew that CE is equal to ED. 2. In any right-angled triangle, the square described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle. If ABC be a triangle whose angle A is a right angle,... | |
 | 398 pages
...1st Book of the Elements of Euclid, prove that in any right-angled triangle the equilateral triangle described on the side subtending the right angle is equal to the equilateral triangles described on the sides containing the right angle. 151 — Pronunciation. Orion.... | |
 | 1852 - 316 pages
...together equal to two right angles. II. In any right angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle. III. If a straight line be divided into any two parts,... | |
 | Euclides - 1852 - 152 pages
...regular solids.] PEOP. XLVII. THEOB. In any right,angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle. Let ABC be a right,angled triangle having the right angle... | |
 | London univ - 1852 - 358 pages
...rectangle of the same altitude. 9. In any right-angled triangle the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle. 10. Any two parallelograms having been described upon... | |
 | Sir James Kay-Shuttleworth - Church and education - 1853 - 554 pages
...than the other two sides of the triangle, but shall contain a greater angle. 2. In any right singled triangle, the square which is described on the side subtending the right angle is equal to the sum of the squares described upon the sides which contain the right angle. 3. If a straight line be... | |
 | Euclides - Geometry - 1853 - 176 pages
...angles. PROPOSITION XLVII.— THEOREM. In any right-angted triangle, the square which is described upon the side subtending the right angle is equal to the squares described uyxm the sides which contain the right angle. Lit1 abc be a right.angled triangle having the right... | |
 | Euclides - Geometry - 1853 - 334 pages
...from the proof of this prop" that the opposite aides of a square are parallels. PEOP. XL VII. THEOE. In any right-angled triangle the square, which is described on the side opposite to the right angle, shall be equal to the squares, which are described on the sides including... | |
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In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle. 
