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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 course of practical geometry for mechanics - Page 68
by William Pease - 1856
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...right angles. PROP. XLVn. TIIEOR. 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. Let ABC be a right angled triangle, having the right angle...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...e 29. 1. PROP. XLVII. THEOR. • sj 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. Book I. a 46. 1. b 31. 1. c 25. Def. Let ABC be a right angled...
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The Freemason's Monitor: Or, Illustrations of Masonry in Two Parts

Thomas Smith Webb - Freemasonry - 1808 - 348 pages
...Europe, was initiated * 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 coa. tain the right 'angle. lidf lib. i.jirop. 47.. into several orders of priesthood,...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 pages
...straight line. Pi-op. XLVII. Theor. 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. Prop. XLV1II. Theor. If the square described upon one of the...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...right angles. PROP. XL VII. THEOR. 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. Let ABC be a right-angled triangle having the right angle...
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An Elementary Treatise on the Geometrical and Algebraical Investigation of ...

Daniel Cresswell - Euclid's Elements - 1817 - 454 pages
...equal to the diameter of another square, the former square shall be the double of the latter. (LXXV.) In any right-angled triangle, the square which is described on the side subtending the right angle, a& a diameter, is equal to the squares described upon the other two sides, as diameters. DEDUCTIONS...
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The Freemasons' Library and General Ahiman Rezon: Containing a Delineation ...

Samuel Cole, Freemasons. Grand Lodge of Maryland - Freemasonry - 1817 - 462 pages
...several orders of * TIUOBEM.] — 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, lib. i,prop. 47. priesthood, and raised to the...
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The Freemason's Monitor: Or Illustrations of Masonry: in Two Parts, Parts 1-2

Thomas Smith Webb - Freemasonry - 1818 - 318 pages
...day comes a froft, which * THEOREM.] In any right-angled triangle, the square which if described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle. A'MC/M/, till. i. prof. 47. - V. nips the fhoot, and when...
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Masonic Constitutions, Or, Illustrations of Masonry

Freemasons. Grand Lodge of Kentucky - Freemasonry - 1818 - 238 pages
...forth the tender leaves * [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. Kvcui), Lin. i. I'jaop. 47. O of hope; to-morrow, blossoms,...
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The New Free-mason's Monitor: Or, Masonic Guide. For the Direction of ...

James Hardie - Freemasonry - 1818 - 392 pages
...of Euclid. The theorem is, that " 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 " This was a discovery made by our illustrious friend and...
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