 | Robert Kalley Miller - Astronomy - 1873 - 208 pages
...must have discovered the leading principles of geometry, and would doubtless be aware that the square on the hypothenuse of a right-angled 'triangle is equal to the sum of the squares on its sides. He therefore suggested that a huge figure of the forty-seventh proposition... | |
 | Education - 1873 - 662 pages
...area that the width is of the length, and extract the square root of the results. 36. The square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides ; for, if we draw a square just as long as the bypothenuse, and... | |
 | William Alexander Myers - Circle-squaring - 1873 - 238 pages
...called the hypothenuse ; thus the line EB is the hypothenuse of the triangle EDB. 3rd. The square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of both the other sides. 4th. The square of a number is the product of that number multiplied... | |
 | Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...similar to a given triangle and having its perimeter equal to a given straight line. 31. The semicircle described on the hypothenuse of a right-angled triangle is equal to the sum of the semicircles described upon the sides. 32. If a straight line be divided into any two parts, and... | |
 | Adrien Marie Legendre - Geometry - 1874 - 500 pages
...hence, (AB + BC) (AB -BC) = AB* - BC* i f which was to be proved. c PROPOSITION XI. THEOREM. The square described on the hypothenuse of a right-angled triangle, is equal to the sum of the squares described on the other two sides. , Let ABC be a triangle, right-angled at A : then will... | |
 | William Alexander Myers - Circle-squaring - 1874 - 207 pages
...called the hypothenuse ; thus the line EB is the hypothenuse of the triangle EDB. 3rd. The square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of both the other sides. 4th. The square of a number is the product of that number multiplied... | |
 | Daniel W. Fish - Arithmetic - 1874 - 302 pages
...relating to right-angled triangles have been established by Geometry : PRINCIPLES. — 1. The square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. 2. The square of the base, or of the perpendicular, of a right-tingled... | |
 | Joseph Dame Weeks - 1874 - 312 pages
...circle is right-angled, and also the celebrated forty-seventh problem of Euclid, that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. Discoveries in astronomy are also ascribed to Pythagoras. There... | |
 | John Leyland (of the Grange, Hindley.) - 1874 - 492 pages
...mathematics. How Pythagoras could fall into such extravagant ecstasy on simply discovering that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the sides, is to me incomprehensible. have learned to honour, and perhaps taken into... | |
 | Thomas Aiken Goodwin - Immortality - 1874 - 258 pages
...unchanged for ages. We teach our children, as confidently as our fathers taught us, that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides ; but who can educe from any known .truths in science or religion... | |
| |
The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides. 
