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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 Six and the Eleventh and Twelfth Books of Euclid's Elements: With ... - Σελίδα 43
των Euclid, James Thomson - 1837 - 390 σελίδες
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The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856
...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...

A course of practical geometry for mechanics

William Pease - 1856
...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 - 12 σελίδες
...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,...

Elements of Geometry and Conic Sections

Elias Loomis - 1858 - 234 σελίδες
...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...

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

Euclides - 1858
...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....

A Lexicon of Freemasonry

Albert Gallatin Mackey - 1859 - 524 σελίδες
...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...

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

Sandhurst roy. military coll - 1859 - 1869 σελίδες
...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...

A Treatise on Practical Mensuration

Anthony Nesbit - 1859 - 450 σελίδες
...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....

The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860
...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....

Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...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...




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