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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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University of Oxford. Examination of women. Examination papers

Oxford univ, local exams - 1885 - 358 pagina’s
...a circle about a given triangle. 6. In any right-angled triangle, the square which is described on the side subtending the right angle is equal to the squares described on the sides which contain the right angle. 7. Divide a given straight line into two parts, so that...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - 1889 - 356 pagina’s
...angles equal, is a parallelogram. 4. In any right-angled- triangle the square which is described on the side subtending the right angle is equal to the squares described on the sides which contain the right angle. If BC is the hypotenuse of a right-angled triangle ABC,...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pagina’s
...rectilineal angle. PROPOSITION 47. THEOREM. In any right-angled triangle, the square which is described on the side subtending the right angle is equal to the squares described on the sides containing the right angle. Let ABC be a rt. -angled A, having the rt. L BAC : the sq....
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Rider Papers on Euclid (books I. and II.)

Rupert Deakin - 1891 - 102 pagina’s
...square on a given straight line. 47. In any right-angled triangle, the square which is described on the side subtending the right angle is equal to the squares described on the sides containing the right angle. 48. If the square described on one of the sides of a triangle...
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Notes on the Nicomachean Ethics of Aristotle, Volume 2

John Alexander Stewart - 1892 - 496 pagina’s
...in Eucl. El. i. 47, he has got certain тр/ушка, by means of which he can show that the square described upon the side subtending the right angle...described upon the sides which contain the right angle. The фрам/ю; likewise reaches a point at which he must say — ' Here at last I must stop thinking,...
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Iron: An Illustrated Weekly Journal for Iron and Steel ..., Volume 16

Perry Fairfax Nursey - 1832 - 512 pagina’s
...division of the Sept. Syst. I may le 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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Longmans' School Mensuration: With an Additional Chapter and Exercises

Alfred John Pearce - 1897 - 202 pagina’s
...cone is a solid formed by the revolution of a right-angled triangle round one of the sides containing the right angle. Let ABC be a right-angled triangle, having the right angle at B, and let it revolve round AB. Then AC will trace out a conical surface. And BC will trace out...
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Mathematics: Mechanic's bids and estimates. Mensuration for beginners. Easy ...

Seymour Eaton - 1899 - 362 pagina’s
...straight line AB. PBOPOSITION 47. THEOREM In any right-angled triangle the square which is described on the side subtending the right angle is equal to the squares described on the sides which contain the right angle. Let ABC be a right-angled triangle, having the right angle...
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Selected List of Educational Books for Secondary Schools

Macmillan & Co - 1901 - 802 pagina’s
...EUCLID'S ELEMENTS. PROPOSITION 47. THEOREM, In any right-angled triangle the square which is described on the side subtending the right angle is equal to the squares described on the sides which contain the right angle. Let ABO be a right-angled triangle, having the right angle...
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Henley's Encyclopædia of Practical Engineering and Allied Trades: A ...

Joseph Gregory Horner - 1909 - 560 pagina’s
...double of the triangle. (Prop. 41.) In any right-angled triangle, the square which is described on the side subtending the right angle is equal to the squares described on the sides which contain the right angle. (Prop. 47.) The two rules for finding the area of a triangle...
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