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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 ... - Pągina 191
per Robert Simson - 1806 - 518 pągines
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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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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 515 pągines
...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 pągines
...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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Sandhurst Mathematical Papers for Admission Into the Royal Military College ...

Royal Military College, Sandhurst - 1890 - 132 pągines
...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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Annual Report of the Chief Superintendent of Education

1891
...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 я circle is equal to the...
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Annual Report of the Department of Education

New Brunswick. Department of Education - 1893
...or external, of the vertical angle f 4. 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. 5. How is the inclination of two planes measured? What conditions completely determine a plane 1 •6....
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Annual Report of the Schools of New Brunswick

New Brunswick. Board of Education - 1893
...or external, of the vertical angle 1 4. 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. .5. How is the inclination of two planes measured? What conditions completely determine a plane 1 6....
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Calendar, for the Year ...

1897
...5. Shew 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. 6. From the foot of a tower the angle of elevation of the...
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Annual Report of the Commissioners ..., Volum 63

1897
...BATEMAN, District Inspector. 1. In a right-angled triangle, prove that the regular pentagon described upon the side opposite to the right angle is equal to the sum of the regular pentagons described upon the sides containing the right angle. 20 marks. 2 Prove...
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