 | 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... | |
 | Euclides - 1853 - 146 σελίδες
...angles. PROP. XLVII. — THEOREM. 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... | |
 | Popular educator - 1852 - 1272 σελίδες
...equal to a given rectilineal angle. 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. Find a point within a given triangle, from which... | |
 | Robert Macoy - 1855 - 566 σελίδες
...and is as follows : — THEOREM. " 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 containing the right angle." THE DEMONSTRATION. In {geometrical solutions and demonstrations... | |
 | Euclides - 1855 - 270 σελίδες
...can be thus inscribed. PROP. XLVII. THEOREM. In any right-angled triangle, the square described upon the side subtending the right angle, is equal to the squares described upon the two sides, containing the right angle. Let ABС be a right-angled triangle, having the right... | |
 | William Pease - 1856 - 108 σελίδες
...the square which is to be the sum of the four given squares, and so on, for any number. REASON : " In any right-angled triangle, the square which is...the right angle, is equal to the squares described upon tlie sides which contain the right angle." (Euclid, Book I. Prop. 47.) Note. — Any similar figures... | |
 | Cambridge univ, exam. papers - 1856 - 252 σελίδες
...greater than two right angles. 5. 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. 6. If a straight line be divided into any two parts,... | |
 | George Oliver - 1856 - 398 σελίδες
...are equal to two right angles. 3. 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. ignominy, and his memory will be covered with reproach.... | |
 | War office - 1858 - 578 σελίδες
...of the interior opposite angles. 2. 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. VOLUNTARY PORTION. 1. Describe a circle about a given... | |
 | Sandhurst roy. military coll - 1859 - 672 σελίδες
...determine the fraction. Euclid. 1. 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. 2. In obtuse angled triangles if a perpendicular be drawn... | |
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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. 
