 | 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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Pythagorean theorem, which states that the sum of the squares of the sides of a right triangle is equal to the square of the hypotenuse. 
