 | 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... | |
 | 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
...produced the exterior angle is greater than either of the interior opposite angles. 2. In any right angled triangle the square which is described upon the side...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,... | |
 | Euclides - 1858 - 248 pages
...CB. — See TATE'S Geometry, pp. 49-51. A/. I D B x> D B PBOp. 47. — THEOR. — (Most Important.) In 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... | |
 | Sandhurst roy. military coll - 1859 - 672 pages
...hour and a half more. Find the distance and his rate of travelling. Euclid. 1. In any right angled triangle the square which is described upon the side...described upon the sides which contain the right angle. 2. Describe a square that shall be equal to a given rectilineal figure. VOLUNTARY PORTION. 1. The cosine... | |
 | Albert Gallatin Mackey - Freemasonry - 1859 - 546 pages
...which has been adopted as an emblem in the Master's degree, is thus enunciated. "In any right angled triangle, the square which is described upon the side...described upon the sides which contain the right angle." This interesting problem, on account of its great utility in making calculations, and drawing plans... | |
 | Thomas Stantial - Examinations - 1859 - 356 pages
...straight lines. 12. Prove the following : — A. " In any right-angled triangle, any rectilineal figure described upon the side subtending the right angle, is equal to the two similar and similarly described rectilineal figures upon the sides containing the right angle."... | |
 | Education - 1859 - 412 pages
...many degrees are there in an angle of a regular octagon? 5. In any right angled triangle, tire square described upon the side subtending the right angle is equal to the sum of the squares described upon the sides containing the right angle. CP & CQ are at right angles... | |
 | Royal college of surgeons of England - 1860 - 336 pages
...the other. 6. Draw a straight line through a given point parallel to a /• given straight line. 7. In any right-angled triangle, the square which is...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.... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...that has one of its angles a right angle, has all its angles right angles. PROPOSITION XLVII. THEOREM. In any right-angled triangle, the square which is...angle, is equal to the squares described upon the sides lchich contain the right angle. Let ^Z?Cbe a right-angled triangle, having the right angle BA C. Then... | |
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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. 
