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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. "
Solutions of the Cambridge Problems: From 1800 to 1820 - Side 654
av John Martin Frederick Wright - 1825 - 653 sider
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The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856 - 168 sider
...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...
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The Popular Educator, Volum 2

1856 - 418 sider
...GEOMETRICAL DEMONSTRATION OF THE PYTHAGOREAN THEOREM. IN any right-angled triangle, the square which is described upon the side subtending the right angle is equal to the squares<lescribed upon the sides which contain the right angle Ceux qui font bien mériteraient seuls...
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A course of practical geometry for mechanics

William Pease - 1856 - 108 sider
...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...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 578 sider
...greater than either of the interior opposite angles. 2. In any right angled triangle the square which is described upon the side subtending the right angle...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,...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 sider
...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....
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A Lexicon of Freemasonry

Albert Gallatin Mackey - 1859 - 546 sider
...emblem in the Master's degree, is thus enunciated. "In any right angled triangle, the square which is described upon the side subtending the right angle,...described upon the sides which contain the right angle." This interesting problem, on account of its great utility in making calculations, and drawing plans...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 sider
...Find the distance and his rate of travelling. Euclid. 1. In any right angled triangle the square which is described upon the side subtending the right angle...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...
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Return to an Address of the Honourable the House of Commons, Dated 10 ...

1859 - 414 sider
...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...
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A test-book for students; comprising sets of examination papers upon ...

Thomas Stantial - 1859 - 352 sider
...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."...
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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860 - 332 sider
...given point parallel to a /• given straight line. 7. In any right-angled triangle, the square which is described upon the side subtending the right angle...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....
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