Books Books
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.
A companion to Euclid: being a help to the understanding and remembering of ... - Page 37
by Euclides - 1837 - 88 pages

## Chambers's information for the people, ed. by W. and R. Chambers, Volume 2

Chambers W. and R., ltd - 1842 - 744 pages
...demonstration, to Euclid himself. In any right-angled triangle, the square which is described upon the sides subtending the right angle, is equal to the squares...described upon the sides which contain the right angle. Let ABC be a right-angled triangle, having the right angle BAC ; the square, described upon the side...

## The Freemason's Monitor: Containing a Delineation of the Fundamental ...

Z. A. Davis - Freemasonry - 1843 - 408 pages
...rest. THE FORTY-SEVENTH PROBLEM OF EUCLID.* This was an invention of our ancient friend and b-other, * THEOREM.] — In any right-angled triangle, the square...described upon the sides which contain the right angle. — Euclid, lib. i. prop. 47. the great Pythagoras, who, in his travels through Asia, Africa and Europe,...

## A course of practical geometry for mechanics

William Pease - Geometry - 1843 - 80 pages
...line from A to C, when AC shall be the side of a square equal to the two given squares. Reason : " 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." If a...

## Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pages
...Hence, every parallelogram that has one right angle, has all its angles right angles. PROPOSITION XLVII. THEOREM. In any right-angled triangle, the square...described upon the sides which contain the right angle. Let ABC be a right-angled triangle, having the right angle BAC. Then the square described upon the...

## Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - Geometry - 1845 - 218 pages
...parallelogram that has one right angle has all its angles right angles. PROPOSITION XL VII. THEOR. — In any right-angled triangle, the square which is...described upon the sides which contain the right angle. Let ABC be a right-angled triangle having the right angle BAC ; the square described upon the side...

## The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1845 - 380 pages
...THEOR. — In any right-angled triangle, the square which is described upon the hypotenuse, that is, the side subtending the right angle, is equal to the...described upon the sides which contain the right angle. Let ABC be a right-angled triangle, having the right angle BAC ; the square described upon the hypotenuse...

## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1846 - 334 pages
...parallelogram that has one right angle has all its angles right angles. PROP. XLVII. THEOR. In any right angled triangle, the square which is described upon the side...described upon the sides which contain the right angle. Let ABC be a right angled triangle having the right angle BAC ; the square described upon the side...

## The London University Calendar

London univ - 1846 - 326 pages
...are about the diameter of any .parallelogram are equal. 8. In any right-angled triangle, prove that the square which is described upon the side subtending...described upon the sides which contain the right angle. described upon the two sides are together equivalent to a parallelogram described upon the base, and...