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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 Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...every 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 sides which contain the right angle. Let ABC be a right-angled triangle, having the right angle BAC : the square described upon the side...

## Revelations in Masonry, Part 2

Freemasonry - 1827 - 72 pages
...perverting or destroying those systems. By the influence of this art, the purposes of the in* THEOREM.) 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. Euclid,...

## The Mechanics' Magazine, Museum, Register, Journal, and Gazette, Volume 16

Industrial arts - 1832 - 528 pages
...diusion of the Sept. Syst. I may be permitted to refer to the famous proposition of Pythagoras, that " In any right-angled triangle, the square which is...described upon the sides which contain the right angle." A no less important proposition is, that " if the hypothenuse of any rightangled triangle be the diameter...

## Illustrations of masonry

William Preston - Freemasonry - 1829 - 488 pages
...pains he took to propagate his system, have justly transmitted his fame to posterity .f - * THEOREM.] In any right-angled triangle, the square which is...upon the side subtending the right angle, is equal io the squares described upon the sides which contain the right angle. Euclid, lib. i. prop. 47. The...

## Calendar

University of Cambridge - 1830 - 554 pages
...Corpus. FRIDAY MORNING, Jamutry 15, 1830. 9 o'clock, to 11. First, Second, Third and Fourth Classes. \. IN any right-angled triangle, the square which is...the side subtending the right angle, is equal to the sum of the squares described upon the sides containing the right angle. 2. The sides about the equal...

## Mechanics' Magazine, Volume 16

Technology - 1832 - 504 pages
...division of the Sept. Syst. I may be permitted to refer to the famous proposition of Pythagoras, that " In any right-angled triangle, the square which is...described upon the sides which contain the right angle." A no less important proposition is, that " if the hypolhenuse of any rightangled triangle be the diameter...

## The Quarterly Journal of Education, Volume 5

Education - 1833 - 412 pages
...straight lines, any two of these being greater than the third. 3. In a right angled triangle the square described upon the side subtending the right angle is equal to the squares described upon the sides containing the right angle. 4. If a straight line be divided into any two parts, the rectangle contained...

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

John Playfair - Euclid's Elements - 1833 - 346 pages
...parallelogram that has one right angle has all its angles right angles. PROP. XLV1I. THEOR. In any right angled triangle, the square which is described upon the side subtending the right awgZe, is equal to the squares described up. on the sides which contain the right angle. Let ABC be...