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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. "
Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ... - Pagina 1
door Woolwich roy. military acad - 1884
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A Supplement to the Elements of Euclid

Daniel Cresswell - 1819 - 486 pagina’s
...which is equal to the diameter of a square, is the double of that square. PROP. LXXVII. 100. THEOREM. In any right-angled triangle, the square which is described on the side subtending the right angle, as a diameter, is equal to the squares described upon the other two sides, as diameters, is equal to...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 350 pagina’s
...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 New Free-mason's Monitor: Or, Masonic Guide. For the Direction of ...

James Hardie - 1819 - 364 pagina’s
...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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The Elements of geometry [Euclid book 1-3] in general terms, with notes &c ...

Euclides - 1821 - 294 pagina’s
...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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The Republican, Volume 12

Richard Carlile - 1825 - 920 pagina’s
...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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Solutions of the Cambridge Problems: From 1800 to 1820, Volume 2

John Martin Frederick Wright - 1825 - 798 pagina’s
...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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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 234 pagina’s
...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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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 pagina’s
...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 - 1827 - 546 pagina’s
...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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The Geometrical Companion, in which the Elements of Abstract Geometry are ...

George Darley - 1828 - 190 pagina’s
...convenient aspect. ART. 47- " In any right-angled triangle the square described on the side opposite the right angle is equal to the squares described on the sides containing the right angle, taken together." This theorem, at the same time that it unfolds one of...
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