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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.
The First Book of Euclid's Elements, Simplified, Explained, and Illustrated ... - Page 104
by Euclides - 1847

## The geometry of the three first books of Euclid, by direct proof from ...

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...

## A course of practical geometry for mechanics

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...

## Examination papers used at the examinations for direct commissions [&c.].

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,...

## Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

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...

## Examination papers used at the examinations for admission to the Royal ...

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...

## A Lexicon of Freemasonry

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...

## A test-book for students; comprising sets of examination papers upon ...

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...