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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 School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ... - Side 75
av Euclides - 1874
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The New Free-mason's Monitor: Or, Masonic Guide. For the Direction of ...

James Hardie - 1818 - 360 sider
...of Euclid. 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 our illustrious friend...
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The New Free-mason's Monitor: Or, Masonic Guide. For the Direction of ...

James Hardie - 1819 - 346 sider
...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 - 1819 - 333 sider
...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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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 sider
...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, Volum 2

John Martin Frederick Wright - 1825
...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, Volum 12

Richard Carlile - 1825
...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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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 180 sider
...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
...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 - 513 sider
...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 - 169 sider
...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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