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The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides.
A Complete Epitome of Practical Navigation, and Nautical Astronomy ... - Σελίδα 37
των John William Norie, J. W. Saul - 1917 - 595 σελίδες
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## A Treatise on Special Or Elementary Geometry: An advanced course in geometry

Edward Olney - 1872 - 84 σελίδες
...PYTHAGOREAN PROPOSITION. 668. The square described on the hypotenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides. Fio. 372. 1st METHOD.—Let ABC be the given triangle, and ACED the square described on the hypotenuse....

## A Treatise on Special Or Elementary Geometry, Τόμοι 1-2

Edward Olney - 1872
...compared? 346. COR. 3. — The square described on the hypotenuse of a right angled triangle is equivalent to the sum of the squares described on the other two sides. DEM.— From Oar. 1, AC* = AB x AD and also CB* = AB x DB. Therefore, adding, AC* + CB* =AB (AD + DB)...

## New Elementary Geometry: Ith Practical Applications; a Shorter Course Upon ...

Benjamin Greenleaf - 1873 - 176 σελίδες
...EQ THEOREM IX. 195. The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides. Let ABC be a right-angled M triangle, having the right angle at A . then the square described on the hypothenuse BC will be equivalent...

## New Elementary Geometry with Practical Applications

Benjamin Greenleaf - 1874 - 176 σελίδες
...E THEOREM IX. 195. The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two...sides. Let ABC be a right-angled triangle, having the right angle at A ; then the square described on the hypothenuse BC will be equivalent to the sum of...

## Elements of Geometry and Trigonometry: From the Works of A.M. Legendre

Adrien Marie Legendre - 1874 - 455 σελίδες
...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 SO* = AS2 + AC2. Construct the square BG on the side JBC, the...

## Elements Of Geometry And Trigonometry

Charles Davies - 1874
...XI. THEOREM. The square described on the hypothenuse of a ri(/ l1t -angled triangle, is equal to t/>e sum of the squares described on the other two sides. Let ABC be a triangle, right-angled at A : then will SC* = AS2 + AC*. Construct the square BQ on the side BC, the...

## The Bombay university calendar, Τόμος 1

Bombay city, univ - 1874
...given point without it. 2. Show that if the square described on one of the sides 8 of a triangle be equal to the sum of the squares described on the other two sides of it, the anglo contained by these two sides is a right angle. 3. In every triangle the square on...

## Annual Register of the United States Naval Academy, Annapolis, Md, Τόμοι 25-32

...sides. 1. Prove that the square described on the hypothenu.se of a right triangle is ci ; ni valent to the sum of the squares described on the other two sides. .">. Prove that a triangular pyramid is one-third of a triangular prism of the samo base and altitnde,...

## A Practical Business Arithmetic ...

Lorenzo Fairbanks - 1875
...the third side. 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. COROLLARY. — The square of either side about the right angle is equal to the square of the hypothenuse...

## National Teachers' Monthly, Τόμος 2

1875
...• 3. PROPOSITION. The square described on the hypothenuse of a right angled triangle is equivalent to the sum of the squares described on the other two sides. 4. PROPOSITION. If the diagonals of a quadrilateral bisect each other the figure is a parallelogram....