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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 ... - Pagina 76
door Euclides - 1852
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1826 - 320 pagina’s
...angles right angles. .f PROP. XLVII. THEOR, In any right angled triangle, the square whieh is deseribed upon the side subtending the right angle, is equal to the squares deseribed upon the sides whieh eontain the right angle. Let ABC he a right angled triangle having the...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 pagina’s
...every parallelogram that has one right angle, has all its angles right angles. PROP. XLVII. 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 shall be equal to the squares described upon BA, AC. On...
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Revelations in Masonry ...

1827
...perverting or destroying those systems. By the influence of this art, the purposes of the in* 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. Euclid,...
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The Mechanics' Magazine, Museum, Register, Journal, and Gazette, Volume 16

1832
...diusion of the Sept. Syst. I may be permitted to refer to the famous proposition of Pythagoras, that " In any right-angled triangle, the square which is...described upon the sides which contain the right angle." A no less important proposition is, that " if the hypothenuse of any rightangled triangle be the diameter...
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Illustrations of masonry

William Preston - 1829 - 456 pagina’s
...pains he took to propagate his system, have justly transmitted his fame to posterity .f - * THEOREM.] In any right-angled triangle, the square which is...upon the side subtending the right angle, is equal io the squares described upon the sides which contain the right angle. Euclid, lib. i. prop. 47. The...
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Register

University of Cambridge - 1830
...Corpus. FRIDAY MORNING, Jamutry 15, 1830. 9 o'clock, to 11. First, Second, Third and Fourth Classes. \. IN any right-angled triangle, the square which is...the side subtending the right angle, is equal to the sum of the squares described upon the sides containing the right angle. 2. The sides about the equal...
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Mechanics' Magazine, Volume 16

1832
...division of the Sept. Syst. I may be permitted to refer to the famous proposition of Pythagoras, that " In any right-angled triangle, the square which is...described upon the sides which contain the right angle." A no less important proposition is, that " if the hypolhenuse of any rightangled triangle be the diameter...
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The Quarterly Journal of Education, Volume 5

1833
...straight lines, any two of these being greater than the third. 3. In a right angled triangle the square described upon the side subtending the right angle is equal to the squares described upon the sides containing the right angle. 4. If a straight line be divided into any two parts, the rectangle contained...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1833 - 333 pagina’s
...parallelogram that has one right angle has all its angles right angles. PROP. XLV1I. THEOR. In any right angled triangle, the square which is described upon the side subtending the right awgZe, is equal to the squares described up. on the sides which contain the right angle. Let ABC be...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834
...parallelogram that has one right angle, has all its angles right angles. PROPOSITION XLVII. to the tquarct described upon the sides which contain the right angle....be a right-angled triangle, having the right angle BAC : the square described upon the side BC, shall be equal to the squares described upon BA, AC. On...
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