| Adrien Marie Legendre - Geometry - 1830 - 344 pages
...BC2=AB2 + AC2. 187. Cor. 1. Hence the square of one of the sides of a right-angled triangle is equivalent **to the square of the Hypotenuse diminished by the square of the other** side ; which is thus expressed : AB2=BC2— AC-. 188. Cor. 2. It has just been shewn that the square... | |
| John Playfair - Euclid's Elements - 1835 - 336 pages
...sides BA, AC. COR. 1 . Hence, the square of one of the sides of a right angled triangle is equivalent **to the square of the hypotenuse diminished by the square of the other** side ; which is thus expressed : AB2=BC2— AC*. COR. 2. IfAB = AC; that is, if the triangle ABC be... | |
| John Playfair - Euclid's Elements - 1837 - 332 pages
...sides BA, AC. COR. 1 . Hence, the square'of one of the sides of a right angled triangle is equivalent **to the square of the hypotenuse diminished by the square of the other** side ; which is thus expressed : AB2=BC2 — AC2. COR. 2. If AB = AC ; that is, if the triangle ABC... | |
| Adrien Marie Legendre - Geometry - 1839 - 372 pages
...BC2=AB2+AC2. Cor. 1 . Hence the square of one of the sides of a right angled triangle is equivalent **to the square of the hypotenuse diminished by the square of the other** side ; . which is Lias expressed : AB2=BCa— AC2. Cor. 2. It has just been shown that the square AH... | |
| John Playfair - Euclid's Elements - 1842 - 332 pages
...sides BA, AC. COR. 1. Hence, the square of one of the sides of aright angled triangle is equivalent **to the square of the hypotenuse diminished by the square of the other** side ; which is thus expressed : AB2n=BC2 — AC2. COR. 2. If AB = AC ; that is, if the triangle ABC... | |
| J. M. Scribner - Measurement - 1844 - 130 pages
...hypotenuse. One of the properties of a right angled triangle is, that the square of either side is equivalent **to the square of the hypotenuse diminished by the square of the other** side ; and the square of the hypotenuse is equal to the sum of the squares of the other two sides,... | |
| Scottish school-book assoc - 1845 - 444 pages
...the sides that contain the right angle. Cor. 1. Hence the square of one of the sides of a rightangled **triangle is equal to the square of the hypotenuse diminished by the square of the other** side, or equal to the rectangle under the sum and difference of the hypotenuse and the other side,... | |
| Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...sides BA, AC. COR. 1. Hence, the square of one of the sides of a right angled triangle is equivalent **to the square of the hypotenuse diminished by the square of the other** side ; which is thus expressed : AB2— BC* — AC2. COR. 2. If AB = AC ; that is, if the triangle... | |
| John Radford Young - Measurement - 1850 - 294 pages
...the squares of the base and perpendicular; and consequently that the square of one of these latter **is equal to the square of the hypotenuse diminished by the square of the other;** and thence is deduced the following rule: — RULE I. When the base and perpendicular are given Take... | |
| Evan Wilhelm Evans - Geometry - 1862 - 116 pages
...other two sides. Cor. 2. The square of either of the sides containing the right angle is equivalent **to the square of the hypotenuse diminished by the square of the other** side. By taking the square root of the remainder the side itself will be found. Cor. 3. If two right-angled... | |
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