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" In right angled triangles, the rectilineal figure described upon the side opposite to the right angle, is equal to the similar, and similarly described figures upon the sides containing the right angle. "
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Side 187
av Robert Simson - 1806 - 518 sider
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The Cambridge Examiner, Volum 2

1882
...equiangular hexagon in a given circle. 14. In right-angled triangles the rectilineal figure described upon the side opposite to the right angle is equal...figures upon the sides containing the right angle. 15. If two straight lines be cut by parallel planes they shall be cut in the same ratio. 16. Circles...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd ..., Volum 3

Moffatt and Paige - 1883
...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 BAC. Then the square described upon the side BC shall be equal to ihe squares described upon BA, A C. On...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 400 sider
...31. THEOREM. In any right-angled triangle, any rectilineal figure detcribed on t/te fide subtending the right angle is equal to the similar and similarly described figures on the sides containing the right angle. Let ABC be a right-angled triangle, having the right angle...
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Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ...

Woolwich roy. military acad - 1884
...11. Prove that in any right-angled triangle any rectilineal figure described on the side subtending the right angle is equal to the similar and similarly described figures on the sides containing the right angle. Is this true if all the figures so described be semi-circles...
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Annual Report of the Chief Superintendent of Education

1885
...given for the work if correctly done : — In right angled triangles the rectilinear figure described upon the side opposite to the right angle is equal...figures upon the sides containing the right angle. I. [15] GEOMETRY. Time, 1 hour 30 min. Male Candidates. 1. The angles in the segment of a circle are...
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Annual Report of the Schools of New Brunswick

New Brunswick. Board of Education - 1889
...l hr. SO min. 1. In right angled triangles, the rectilinear figure described upon the side opposite the right angle is equal to the similar and similarly...figures upon the sides containing the right angle. 2. The rectangle contained by the diagonals of a quadrilateral inscribed in a circle is equal to the...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - 1889
...n. Prove that in any right-angled triangle any rectilineal figure described on the side subtending the right angle is equal to the similar and similarly described figures on the sides containing the right angle. Is this true if all the figures so described be semicircles?...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 515 sider
...PROPOSITION 31. THEOREM. In a right-angled triangle any rectilineal figure described upon the side opposite the right angle is equal to the similar and similarly...figures upon the sides containing the right angle. Let P, Q, R be similar rectl. figs, similarly described on the sides BC, CA, AB of a AABC, having i. BAC...
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Practical Plane Geometry: Giving the Simplest Modes of Constructing Figures ...

John Fry Heather - 1890 - 172 sider
...218. THEOR. 33. — In any right-angled triangle the rectilineal figure described upon the hypothenuse is equal to the similar and similarly described figures upon the sides. (Eu. VI. 31.) 219. THEOR. 34. — Circles are to ono another as the squares of their diameters. (Eu....
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Mathematical Papers for Admission Into the Royal Military College for the ...

Eldred John Brooksmith, Robert Moir Milne - 1890 - 132 sider
...cutting line. 7. In any right-angled triangle, any rectilineal figure described on the side subtending the right angle is equal to the similar and similarly described figures on the sides containing the right angle. 8. The angles of a quadrilateral inscribed in a circle, taken...
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