 | Royal Military College, Sandhurst - Mathematics - 1890 - 144 pages
...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... | |
 | 1891 - 718 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 я circle is equal to the... | |
 | New Brunswick. Board of Education, New Brunswick. Department of Education - Education - 1893 - 806 pages
...bisector, internal or external, of the vertical angle f 4. In right angled triangles, the rectilineal figure described upon the side opposite to the right...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.... | |
 | New Brunswick. Board of Education, New Brunswick. Department of Education - Education - 1893 - 800 pages
...bisector, internal or external, of the vertical angle 1 4. In right angled triangles, the rectilineal figure described upon the side opposite to the right...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.... | |
 | 1897 - 534 pages
...Inspector. Dr. 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... | |
 | 1897 - 154 pages
...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... | |
 | Macmillan & Co - Textbooks - 1901 - 802 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 ABO be a triangle, right-angled at A : the rectilineal... | |
 | Euclid - Mathematics, Greek - 1908 - 456 pages
...likely to give it alone. PROPOSITION 31. In right-angled triangles the figure on the side subtending the right angle is equal to the similar and similarly described figures on the sides containing the right angle. Lety^Cbe a right-angled triangle having the angle BAC right... | |
 | Morris Kline - Mathematics - 1990 - 434 pages
...study Apollonius' work. Proposition 31. In right.angled triangles, the figure on the side subtending the right angle is equal to the similar and similarly described figures on the sides containing the right angle. This is a generalization of the Pythagorean theorem. 7. Books... | |
 | Michael N. Fried - History - 2001 - 516 pages
...Elem.lAl taken together with firo.VI.31 (that "In right-angled triangles the figure on the side subtending the right angle is equal to the similar and similarly described figures on the sides containing the right angle") are important since they show how a single figure can be... | |
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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... 
