 | Horatio Nelson Robinson - Arithmetic - 1859 - 352 pages
...may be solved by the use of the two following principles, which are demonstrated in geometry. 1st. The square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. 2d. The areas of two circles are to each other as the... | |
 | Isaac Todhunter - Spherical trigonometry - 1859 - 156 pages
...be inscribed in the two solids. 10. The sum of the squares of the four diagonals of a parallelopiped is equal to four times the sum of the squares of the edges. 11. If with each angular point of any parallelopiped as centres equal spheres be described,... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...the area, and the line bisecting the base, construct the triangle. IV. 30. Shew that the square on the hypotenuse of a right-angled triangle, is equal to four times the area of the triangle together with the square on the difference of the sides. • l 31. In the triangle... | |
 | Horatio Nelson Robinson - Arithmetic - 1860 - 444 pages
...tho base of the triangle, and one on DF, -which is equal to the perpendicular of the triangle. Hence, The square of the hypotenuse of a right-angled triangle is equal to the sum of flie. squares of the other two sides. From this property we derive the following RULE. I.... | |
 | Emerson Elbridge White - Arithmetic (Commercial), 1861 - 1861 - 348 pages
...sides are called the base and perpendicular. Perpendicular. Base. It is an established theorem that the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. The annexed figure illustrates this theorem and the... | |
 | Isaac Todhunter - Spherical trigonometry - 1863 - 182 pages
...be inscribed in the two solids. 10. The sum of the squares of the four diagonals of a parallelepiped is equal to four times the sum of the squares of the edges. 1 1. If with all the angular points of any parallelepiped as centres equal spheres be described,... | |
 | Euclides - 1864 - 262 pages
...the area, and the line bisecting the base, construct the triangle. IV. 30. Shew that the square on the hypotenuse of a right-angled triangle, is equal to four times the area of the triangle together with the square on the difference of the sides. 31. In the triangle ABC,... | |
 | Euclides - 1864 - 448 pages
...the area, and the line bisecting the base, construct the triangle. IV. 30. Shew that the square on the hypotenuse of a right-angled triangle, is equal to four times the area of the triangle together with the square on the difference of the sides. 31. In the triangle ABC,... | |
 | Robert Potts - 1865 - 528 pages
...together less than the sum of the squares on the sides of the triangle. iv. 35. Shew that the square on the hypotenuse of a right-angled triangle, is equal to four times the area of the triangle together with the square on the difference of the sides. 36. In the triangle ABC,... | |
 | James McCosh - Intuition - 1865 - 472 pages
...Csesar lived, or that Jesus Christ died and rose again, or those by which we come to be assured that the square of the hypotenuse of a right-angled triangle is equal to the square of the other two sides. But in all such regressions we must at last come back to something... | |
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The square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. 
