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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.
Schultze and Sevenoak's Plane and Solid Geometry - Page 188
by Arthur Schultze, Frank Louis Sevenoak - 1918 - 457 pages

## Elements of Geometry and Trigonometry: With Notes

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...

## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

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...

## Elements of Geometry: Containing the First Six Books of Euclid : with a ...

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...

## Elements of Geometry and Trigonometry

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...

## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

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...

## A Practical System of Mensuration of Superficies and Solids ...

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,...

## A system of practical mathematics; being no.xvi. of a new series of school-books

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,...

## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

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...