| Euclides - 1853 - 334 páginas
...from the proof of this prop" that the opposite aides of a square are parallels. PEOP. XL VII. THEOE. In any right-angled triangle the square, which is described on the side opposite to the right angle, shall be equal to the squares, which are described on the sides including... | |
| Francis Wayland - 1854 - 436 páginas
...first book of Euclid's elements, or that which proves that in any right-angled triangle, the square of the side subtending the right angle is equal to the sum of the squares of the sides containing the right angle. I presume every reader to be familiar with the proposition,... | |
| Francis Wayland - 1861 - 444 páginas
...first book of Euclid's elements, or that which proves that in any right-angled triangle, the square of the side subtending the right angle is equal to the sum of the squares of the sides containing the right angle. I presume every reader to be familiar with the proposition,... | |
| Robert Potts - 1855 - 1050 páginas
...are equal. 7. If any similar figures be inscribed on the sides of a right-angled triangle, the figure on the side subtending the right angle is equal to the sum of the figures on the other two sides. Describe a triangle on a given base, and with a given vertical angle,... | |
| William Pease - 1856 - 108 páginas
...the square which is to be the sum of the four given squares, and so on, for any number. REASON : " In any right-angled triangle, the square which is...the side subtending the right angle, is equal to the squares described upon tlie sides which contain the right angle." (Euclid, Book I. Prop. 47.) Note.... | |
| 1859 - 414 páginas
...number of degrees in an exterior angle. 6. In any right angled triangle, the square described upon the side subtending the right angle is equal to the sum of the squares described upon the sides containing the right angle. Describe a square equal to ten times a... | |
| War office - 1861 - 714 páginas
...than the other two sides of the triangle, but shall contain a greater angle. 2. In any right angled triangle, the square which is described on the side subtending the right angle is equal to the squares described on the sides containing the right angle. VOLUNTARY PORTION. 1. Describe an isosceles... | |
| 1861 - 578 páginas
...the first book, and reading thus : " In any right-angled triangle, the square which is described upon the side subtending the right angle is equal to the sum of the squares described upon the sides which contain the right angle." But our imaginary friend will simply... | |
| University of Oxford - 1863 - 316 páginas
...same side ; and also the two interior angles on the same side together equal to two right angles. 7. In any right-angled triangle, the square which is...the side subtending the right angle is equal to the squares described on the sides which contain the right angle. 8. Divide a given straight line into... | |
| Robert Potts - 1863 - 482 páginas
...manner that its area is- always the same. In what line will the intersection of its diagonals move ? 10. In any right-angled triangle, the square which is...the side subtending the right angle is equal to the squares described on the sides which contain the right angle. If a man's head were a sphere of 10 inches... | |
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