 | Sandhurst roy. military coll - 1880 - 68 pages
...similar, and reciprocal rectilineal figures : and prove that in right-angled triangles, the rectilineal figure described upon the side opposite to the right...figures upon the sides containing the right angle. 6. If the sides of a triangle be cut proportionally, the straight line which joins the points of section... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...31. THEOREM. 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. Let ABC be a right-angled triangle, having the right angle... | |
 | Education, Higher - 1882 - 498 pages
...equilateral and equiangular hexagon in a given circle. 14. In right-angled triangles the rectilineal figure described upon the side opposite to the right...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... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...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... | |
 | Woolwich roy. military acad - 1884 - 148 pages
...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... | |
 | 1885 - 608 pages
...and those which are opposite to the equal angles are homologous sides. 6. In right angled triangles the rectilinear figure described upon the side opposite...figures upon the sides containing the right angle. I. [16] PRACTICAL MATHEMATICS. Time, 1 hour. Female Candidates will receive credit for work correctly... | |
 | New Brunswick. Board of Education - Education - 1889 - 1004 pages
...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... | |
 | E. J. Brooksmith - Mathematics - 1889 - 356 pages
...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?... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...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.... | |
 | John Fry Heather - Geometry, Modern - 1890 - 252 pages
...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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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... 
