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

Robert Simson - Trigonometry - 1806 - 546 pages
...parallelogram that has one right angle has all its angles right angles. PROP. XLVn. TIIEOR. 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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1806 - 320 pages
...right angle has all its angles right angles. E e 29. 1. PROP. XLVII. THEOR. • sj IN any right angled triangle the square which is described upon the side...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 triangle having the right angle BAG...
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The Freemason's Monitor: Or, Illustrations of Masonry in Two Parts

Thomas Smith Webb - Freemasonry - 1808 - 348 pages
...brother, the great Pythagoras, who, in his travels through Asia, Africa, and Europe, was initiated * THEOREM.] — In any right-angled triangle, the square...equal to the squares described upon, the sides which coa. tain the right 'angle. lidf lib. i.jirop. 47.. into several orders of priesthood, and raised to...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 pages
...Prop.XLVI. Prob. To describe a square upon a given straight line. Pi-op. XLVII. Theor. In any right angled triangle, the square which is described upon the side...described upon the sides which contain the right angle. Prop. XLV1II. Theor. If the square described upon one of the sides of a triangle, be equal to the squares...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 560 pages
...Hence every parallelogram that has one right angle has all its ungles right angles. PROP. XLV11. THEOR. IN any right-angled triangle, the square which is...angle, is equal to the squares described upon the sides . winch contain the right angle. Let ABC be a right-angled triangle having the right angle BAC; the...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...every parallelogram that has one right angle has all its angles right angles. PROP. 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...
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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
...his travels through Asia, Africa, and Europe, was initiated into several orders of * TIUOBEM.] — In any right-angled triangle, the square which is...described upon the sides which contain the right angle. — Euclid, lib. i,prop. 47. priesthood, and raised to the sublime degree of a master n.;. Him. Th...
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Masonic Constitutions, Or, Illustrations of Masonry

Freemasons. Grand Lodge of Kentucky - Freemasonry - 1818 - 238 pages
...space of an hour, they are all exhausted. Thus wastes man ! to-day, he puts forth the tender leaves * [THEOREM.] In any right-angled triangle, the square...described upon the sides which contain the right angle. Kvcui), Lin. i. I'jaop. 47. O of hope; to-morrow, blossoms, and bears his blushing: honors thick upon...
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The New Free-mason's Monitor: Or, Masonic Guide. For the Direction of ...

James Hardie - Freemasonry - 1818 - 392 pages
...— Psalm xxxvii. 37. The Forly-Stvenlh Problem of Euclid. 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 our illustrious friend and brother, the great PYTHAGORAS, who, as it...
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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
...him ; the next day comes a froft, which * THEOREM.] In any right-angled triangle, the square which if described upon the side subtending the right angle,...described upon the sides which contain the right angle. A'MC/M/, till. i. prof. 47. - V. nips the fhoot, and when he thinks his greatnefs is ftill afpiring,...
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