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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 two books of the Elements of Euclid, with additional figures ... - Page 76
by Euclides - 1852
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Euclid's Elements of Geometry,: From the Latin Translation of Commandine. To ...

Euclid, John Keill - Geometry - 1733 - 444 pages
...the Side fubtending the Right Angle, is equal to both the Squares defcribed upon the Sides containing the Right Angle. LET ABC be a Right-angled Triangle, having the Right Angle BAG. I fay the Square defcribed upon the Right Line BC, is equal to both the Squares defcribed upon the...
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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...sides which contain the right angle. Let ABC be a right angled triangle, having the right angle BAC ; the square described upon the side IK', is equal...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 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
...great Pythagoras, who, in his travels through Asia, Africa, and Europe, was initiated * THEOREM.] — In any right-angled triangle, the square which 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, 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...be a right-angled triangle having the right angle BAC ; the square described upon the side BC is equal to the squares described upon BA, AC. ' «6. 1....
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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
...hour, they are all exhausted. Thus wastes man ! to-day, he puts forth the tender leaves * [THEOREM.] In any right-angled triangle, the square which is...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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