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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 Six and the Eleventh and Twelfth Books of Euclid's Elements: With ... - Σελίδα 43
των Euclid, James Thomson - 1837 - 390 σελίδες
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University of Oxford. Examination of women. Examination papers

Oxford univ, local exams - 1885 - 358 σελίδες
...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...

Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term ...

Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term,1885.Volume XIV - 1885 - 652 σελίδες
...bases shall be equal to one another. 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 the diagonals of a quadrilateral are at right angles...

Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - 1889 - 356 σελίδες
...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,...

The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 σελίδες
...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....

Rider Papers on Euclid (books I. and II.)

Rupert Deakin - 1891 - 102 σελίδες
...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...

Notes on the Nicomachean Ethics of Aristotle, Τόμος 2

John Alexander Stewart - 1892 - 496 σελίδες
...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 is equal to the...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,...

Iron: An Illustrated Weekly Journal for Iron and Steel ..., Τόμος 16

Perry Fairfax Nursey - 1832 - 512 σελίδες
...famous proposition of Pythagoras, that "In any right-angled triangle, the square which is described upon the side, subtending the right angle, is equal to...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...

Longmans' School Mensuration: With an Additional Chapter and Exercises

Alfred John Pearce - 1897 - 202 σελίδες
...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...

Mathematics: Mechanic's bids and estimates. Mensuration for beginners. Easy ...

Seymour Eaton - 1899 - 362 σελίδες
...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...

Selected List of Educational Books for Secondary Schools

Macmillan & Co - 1901 - 802 σελίδες
...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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