| E. M. Reynolds - Geometry - 1868 - 172 pages
...C' = the square on AB— square on BC. These forms of the theorem are often employed. THEOREM XII. In any right-angled triangle, the square which is...described on the sides which contain the right angle. 1) L Let ABC be a right-angled triangle, having the right angle BAC : the square described on the side... | |
| Woolwich roy. military acad - 1868 - 426 pages
...12. To inscribe a square in a given circle. 13. 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. 14. A, B being the... | |
| Edinburgh univ - 1868 - 336 pages
...the major axis. 24^/4 March 1868. 1. In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides containing the right angle. 2. The sum of the squares of the diameters of any parallelogram... | |
| 1868 - 876 pages
...parallels, are equal to one another 15 3. In any right -angled triangle, the square \rhieh is described upon the side subtending the right angle is equal to the squares described upon the wdes which contain the right angle 20 4. If ii straight line IK- bisected and produced to... | |
| Ellis A. Davidson - Mechanical drawing - 1869 - 140 pages
...Euclid (Book I., prop, xlvii.), " In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle." And it will be seen that ABE is a right-angled triangle,... | |
| Euclides - 1871 - 136 pages
...Ex. 2 and 3 are assumed by Euclid in the proof of Prop. XLVIIi. See also Prop. A. of Book II., p. 77. In any right-angled triangle the square which is described...the side subtending the right angle is equal to the tquares described on the sidef which contain the right angle. Let ABC be a right-angled A , having... | |
| Schools - 1877 - 604 pages
...perimeter of the quadrilateral. 2. In any right angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle. Algebra. 1. Find the GCM of 9 ax* y* and 15 a2 xz ; also... | |
| Arnold Lupton - Coal mines and mining - 1902 - 494 pages
...third by subtraction. (6) Any two sides of a triangle must be together greater than the third. (7) In any right-angled triangle, the square which is described on the side opposite the right angle is equal to the sum of the squares described on the sides containing the right... | |
| Alfred Baker - Geometry - 1903 - 154 pages
...superposition in the case of the following triangles: The result of these observations may be stated thus: In any right-angled triangle the square which is described...the side subtending the right angle, is equal to the sum of the squares described on the sides containing the right angle. Two sides of a right-angled triangle... | |
| 1903 - 896 pages
...is 15 cm., and whose base angles are 70° and 55°. Or, 3 A. In any right-angled triangle the square described on the side subtending the right angle is equal to the sum of the squares described on the sides containing the right angle. 4. Draw three circles with different... | |
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