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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 191
av Robert Simson - 1806 - 518 sider
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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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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. Board 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 Department of Education

New Brunswick. Board of Education, New Brunswick. Department 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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