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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 Elements of Euclid for the Use of Schools and Colleges: Comprising the ... - Page 50
by Euclid, Isaac Todhunter - 1867 - 400 pages
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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 - 1819 - 364 pages
...of Euelid. 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 oar illustrious friend...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 350 pages
...right angles. PROP. 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. Let ABC be a right angled triangle having the right angle...
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The Elements of geometry [Euclid book 1-3] in general terms, with notes &c ...

Euclides - 1821 - 294 pages
...sides of a right angled triangle any similar rectilineal ^figures be similarly described, the Jigure described on the side subtending the right angle is equal to the sum of the Jtgures on the other two sides which contain the right angle. From the right *Z- draw a...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...which is described upon the ¿de 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, ВАС ; the square described upon the side BC is equal to the squares described upon BA, AC. On BC...
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Solutions of the Cambridge Problems: From 1800 to 1820, Volume 2

John Martin Frederick Wright - Mathematics - 1825 - 798 pages
...angles equal ten right angles ? 2. In any right-angled triangle, the square -when is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle. 3. If E be any point in a rectangle, AE3 + ED8 = EB"...
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The Republican, Volume 12

Richard Carlile - Free thought - 1825 - 920 pages
...general good of mankind. 5 THEOREM.] In any right-angled triangle, tlie 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, Erery art which is necessary...
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 pages
...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 BAC. The square...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 234 pages
...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 BAC. The square...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...right angles. PROP. 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. Let ABC be a right-angled triangle, having the right...
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