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

## The Freemason's Monitor: Or, Illustrations of Masonry: in Two Parts

Thomas Smith Webb - Freemasonry - 1818 - 336 pages
...him ; the next day comes a frost, which * THEOREM.] In any right-angled triangle, the square which ii described upon the side subtending the right angle, is equal to the •quares described upon the (ides which contain the right angle. Euclid, lit. i. prop. 47. nips the...

## The New Free-mason's Monitor: Or, Masonic Guide. For the Direction of ...

James Hardie - Freemasonry - 1819 - 364 pages
...peace." Psalm xxxvii. 37. The Forty-Seventh Problem of Euelid. The theorem is, that" in any right angled triangle, the square, which is described upon the...described upon the sides, which contain the right angle.'' This was a discovery made by oar illustrious friend and brother, the great PYTHAGORAS, who, as it has...

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

John Playfair - Circle-squaring - 1819 - 350 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 American Masonic Register, and Ladies' and Gentlemen's Magazine, Volumes 1-2

1821 - 780 pages
...brother, the great philosopher Pylhagoras, had demonstrated the problem that " in any right angled triangle, the square which is described upon the side subtending the right angle, was equal to the squares described upon the sides which contain the right angle," he with excessive...

## The Republican, Volume 12

Richard Carlile - Free thought - 1825 - 920 pages
...in all ages have studied the general good of mankind. 5 THEOREM.] In any right-angled triangle, tlie square which is described upon the side subtending...described Upon the sides which contain the right angle. Euclid, lib. i. prop. 47, Erery art which is necessary for the support of authority and food government,...

## Solutions of the Cambridge Problems: From 1800 to 1820, Volume 2

John Martin Frederick Wright - Mathematics - 1825 - 798 pages
...polygon whose interior angles equal ten right angles ? 2. In any right-angled triangle, the square -when is described upon the side subtending the right angle,...described upon the sides which contain the right angle. 3. If E be any point in a rectangle, AE3 + ED8 = EB" + EC9. 4. Bisect the four, sides of the trapezium...

## A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...every parallelogram that has one right angle has all its ingles right angles. Propoíifion XL FT/. Theorem, In any right-angled triangle, the square which is described upon the ¿de subtending the right angle, is equal to the squares described upon the sides which contain the...

## Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 236 pages
...having one right angle is a rectangle. PROPOSITION XLVII. THEOREM. In right angled triangles the square described upon the side subtending the right angle is equal to the squares described on the sides containing the right angle. Let ABC be a right angled triangle, having the right angle...