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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 Edinburgh university calendar - Page 199
by Edinburgh univ - 1868
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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...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 triangle...
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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...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 BAC ; the...
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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...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...
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Pantologia. A new (cabinet) cyclopædia, 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...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 sides of...
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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...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 BAC ; the...
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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...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 sublime degree...
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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...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, and bears...
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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...is equal to the squares described upon the sides, which contain the right angle " This was a discovery made by our illustrious friend and brother, 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
...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, 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 he thinks...
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