| 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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