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... the square of the hypothenuse is equal to the sum of the squares of the other two sides.
A Treatise of Plane Trigonometry: To which is Prefixed, a Summary View of ... - Page 42
by Jeremiah Day - 1815 - 126 pages

## Jewish Antiquities: Or, a Course of Lectures on the Three Firstbooks of ...

David Jennings - Bible - 1823 - 654 pages
...upon bis discovering what is called the Pythagoric theorem, namely, that in a right-angled triangle, the square of the hypothenuse is equal to the sum of the squares of the sides ? As for the Essenes it is not easy to reconcile their not using animal sacrifices...

## The Second [-fifth and Sixth] Part of A Course of Mathematics: Adapted to ...

Jeremiah Day - Geometry - 1824 - 440 pages
...AD : AC::CH : HF tan : R::R : cot. Therefore R3 = 94. Other relations of the sine, tangent, «Szc. may be derived from the proposition, that the square of the hypothenuse is equal to the sum of the squares of the perpendicular sides. (Euc. 47. 1.) In the right angled triangles CBG, CAD, and CHF,...

## A Course of Mathematics for the Use of Academies: As Well as ..., Volume 1

Charles Hutton - Mathematics - 1825 - 608 pages
...to the rectangle under their sum and difference. «. ED THEOREM XXXIV. IN any Right-angled Triangle, the square of the Hypothenuse, is equal to the Sum of the Squares of the other two Sides. Let ABC be a right-angled triangle, having the right angle o ; then...

## Elements of Geometry...: Translated from the French for the Use of the ...

Adrien Marie Legendre, John Farrar - Geometry - 1825 - 294 pages
...others ; for the three figures will be proportional to the squares of their homologous sides ; now the square of the hypothenuse is equal to the sum of the squares of the two other sides ; therefore, &c. V 223. The parts of two chords which cut each other...

## A System of Geometry and Trigonometry: Together with a Treatise on Surveying ...

Abel Flint - Surveying - 1825 - 252 pages
...without finding the Angles ; according to the following PROPOSITION ; G In every Right Angled Triangle, the Square of the Hypothenuse is equal to the Sum of the Squares of the two Legs. Hence, The Square of the given Leg being subtracted from the Square of the...

## Elements of Geometry...: Translated from the French for the Use of the ...

Adrien Marie Legendre, John Farrar - Geometry - 1825 - 280 pages
...others ; for the three figures will be proportional to the squares of their homologous sides ; now the square of the hypothenuse is equal to the sum of the squares of the two other sides ; therefore, &c. THEOREM. 223. The parts of two chords which cut each...

## Elements of Analytic Trigonometry: Plane and Spherical

Ferdinand Rudolph Hassler - Trigonometry - 1826 - 212 pages
...three sides ; to find the Surface of the triangle. By the theorem of geometry, so often employed : that the square of the hypothenuse is equal to the sum of the squares of the two sides, and expressing the parts by trigonometry, as in section 56, we find : BD...

## The Practical Analyst: Or, A Treatise on Algebra, Containing the Most Useful ...

Enoch Lewis - Algebra - 1826 - 180 pages
...compound, it is called an adfected quadratic equation. * To solve this problem, it must be recollected that the square of the hypothenuse is equal to the sum of the squares of the other two sides, and that the area is half the product of those sides. RULE 1. Arrange...