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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.
Elements of Geometry and Trigonometry from the Works of A.M. Legendre ... - Page 97
by Charles Davies - 1854 - 432 pages

Military Schools and Courses of Instruction in the Science and Art of War ...

Henry Barnard - Military education - 1872 - 988 pages
...area of a polygon. — Measure of the area of a trapezoid. The square constructed on the hypothenuBe of a right-angled triangle is equivalent to the sum of the squares constructed 011 the other two sides. — The squares constructed on the two sides of the right angle...

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

Benjamin Greenleaf - Geometry - 1873 - 202 pages
...line AC is equivalent to four times the square described on the half A B. BOOK IV. EQ THEOREM IX. 195. The square described on the hypothenuse of a right-angled...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...

New Elementary Geometry: With Practical Applications : a Shorter Course Upon ...

Benjamin Greenleaf - Geometry - 1874 - 206 pages
...equivalent to four times the square described on the half A B. E D F G BOOK IV. F E THEOREM IX. 195. The square described on the hypothenuse of a right-angled...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...

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

Adrien Marie Legendre - Geometry - 1874 - 512 pages
...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...

The Bombay university calendar, Volume 1

Bombay city, univ - 1874
...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, Volumes 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,...

Euclid simplified. Compiled from the most important French works, approved ...

John Reynell Morell - 1875 - 220 pages
...the area of each triangle,* and taking the sums of these areas. THEOREM Vm. The square constructed on the hypothenuse of a rightangled triangle is equivalent to the sum of the squares constructed on the sides. Let AC B be a rightangled triangle, with right angle vertex at C ; construct...

National Teachers' Monthly, Volume 2

Education - 1875 - 398 pages
...perimeter is regular. • 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....