| Elias Loomis - Conic sections - 1858 - 256 pages
...square described on the hypothenuse is equivalent to the sum of the squares on the othei t\t>(, sides. Let ABC be a right-angled triangle, having the right angle BAC ; the ., ^ „ square described upon the side BC is _ equivalent to the sum of the squares upon BA, AC. On BC describe the square BCED,... | |
| War office - 1858 - 578 pages
...of the interior opposite angles. 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. VOLUNTARY PORTION. 1. Describe a circle about a given... | |
| Anthony Nesbit - Measurement - 1859 - 494 pages
...triangle, the square of the hypothenuse is equal to the sum of the squares of the other two sides. Let ABC be a right-angled triangle, having the right angle BAC ; the square of the side BC is equal to the sum of the squares of the sides AB, AC. (Euc. I. 47. Simp. H. 8. Em.... | |
| Sandhurst roy. military coll - 1859 - 672 pages
...determine the fraction. Euclid. 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 which contain the right angle. 2. In obtuse angled triangles if a perpendicular be drawn... | |
| Albert Gallatin Mackey - Freemasonry - 1859 - 546 pages
...Master's degree, is thus enunciated. "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." This interesting problem, on account of its great utility... | |
| Royal college of surgeons of England - 1860 - 332 pages
...to a /• given straight line. 7. 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. 8. What is meant by the term corollary ? Give an example... | |
| Robert Potts - Geometry, Plane - 1860 - 380 pages
...angles. PROPOSITION XLVII. THEOREM. 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 lchich contain the right angle. Let ^Z?Cbe a right-angled triangle, having the right... | |
| Alexander Hadden Hutchinson - 1861 - 128 pages
...determine the fraction. Euclid. 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 which contain the right angle. 2. If a straight line be divided into two equal and also... | |
| War office - 1861 - 714 pages
...shall fall within the circle. VOLUNTARY PORTION. 1. 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. 2. Two straight lines... | |
| Euclides - 1862 - 172 pages
...angles. PROP. XL VII.— THEOREM. 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. (References— Prop. i. 4, 14, 31, 41, 46; ax. 2, 6,... | |
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