 | 1851 - 268 σελίδες
...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... | |
 | 396 σελίδες
...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.... | |
 | Harvey Goodwin - 1851 - 196 σελίδες
...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,... | |
 | 1852 - 316 σελίδες
...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 σελίδες
...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 σελίδες
...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 - 1853 - 554 σελίδες
...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 - 1853 - 176 σελίδες
...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 - 1853 - 334 σελίδες
...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... | |
 | 1853 - 394 σελίδες
...Show that in any right-angled triangle, the square which is described upon the hypothenuse, that is, the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle. When the sides of a right-angled triangle are 30 and... | |
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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. 
