 | Euclides - 1856 - 168 pages
...47. In any right angled triangle the square which is described on the hypothenuse, or side opposite the right angle, is equal to the squares described...upon the sides which contain the right angle. Let ABC (Fig. 36) be a right angled triangle having the right angle BAC ; the square described on the side... | |
 | William Pease - 1856 - 108 pages
...and so on, for any number. REASON : " In any right-angled triangle, the square which is described on the side subtending 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... | |
 | War office - 1858 - 578 pages
...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...described upon the sides which contain the right angle. VOLUNTARY PORTION. 1. Describe a circle about a given triangle. 2. If four straight lines be proportionals,... | |
 | Elias Loomis - Conic sections - 1858 - 256 pages
...square described on the hypothenuse is equivalent to the sum of the squares on the othei t\t>(, sides. Let ABC be a right-angled triangle, having the right...angle BAC ; the ., ^ „ square described upon the side BC is _ equivalent to the sum of the squares upon BA, AC. On BC describe the square BCED, and... | |
 | Euclides - 1858 - 248 pages
...any right-angled triangle, the square which is described upon the side subtending, or opposite to, the right angle, is equal to the squares described upon the sides containmg the right angle. CONSTRUCTION. — P. 46. To describe a square on a given straight line.... | |
 | Sandhurst roy. military coll - 1859 - 672 pages
...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...described upon the sides which contain the right angle. 2. In obtuse angled triangles if a perpendicular be drawn from either of the acute angles to the opposite... | |
 | Albert Gallatin Mackey - Freemasonry - 1859 - 546 pages
...Master's degree, is thus enunciated. "In any right angled triangle, the square which is described upon the side subtending the right angle, is equal to the...described upon the sides which contain the right angle." This interesting problem, on account of its great utility in making calculations, and drawing plans... | |
 | Anthony Nesbit - Measurement - 1859 - 494 pages
...triangle, the square of the hypothenuse is equal to the sum of the squares of the other two sides. Let ABC be a right-angled triangle, having the right angle BAC ; the square of the side BC is equal to the sum of the squares of the sides AB, AC. (Euc. I. 47. Simp. H. 8. Em.... | |
 | Royal college of surgeons of England - 1860 - 332 pages
...to a /• given straight line. 7. In any right-angled triangle, the square which is described upon the side subtending the right angle is equal to the...described upon the sides which contain the right angle. 8. What is meant by the term corollary ? Give an example ** from Euclid, Book I. ; and its proof. 9.... | |
 | Euclides - 1860 - 288 pages
...XLVII. THEOREM. In any right-angled triangle, the square which is described upon the side opposite to the right angle, is equal to the squares described upon the sides which contain the right angle. Given a right-angled triangle ABC, having the right angle BAC ; to prove that the square described... | |
| |
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. 
