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Guido, with a burnt stick in his hand, demonstrating on the smooth paving-stones of the path, that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides.
Elements of Euclid [selections from book 1-6] adapted to modern methods in ... - Page 98
by Euclides - 1874

## Proceedings, Volume 5, Part 2

Mathematics - 1913 - 694 pages
...ii, 1. In a former paper the writer gave three methods of proof of the celebrated proposition that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the legs (sides including the right angle). Other proofs are presented here...

## The Calendar

...triangles or parallelograms of equal altitude are to one another as their bases. Right-angled Triangles: The square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the sides, and conversely. In a right-angled triangle, if a perpendicular...

## Regulations and Courses of Study of the Continuation Schools ...

...triangle. The complements of the parallelograms about the diagonal of any parallelogram are equal. The square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the sides. If a straight line be divided into any two parts, the sum of the...

## Report of the Examinations Conducted by the Council of Higher Education ...

...4. Calculate the magnitude of the angle of a regular polygon of eleven sides. (10) A 5. Prove that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides. A, B, C are three towns; B is 17 miles north of A ;...

## The Relation of Science and Philosophy ...

Roy Balmer Liddy - Philosophy - 1914 - 156 pages
...geometry was placed upon a much firmer basis. To Pythagoras is ascribed the important theorem that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides. If the Egyptians had only known this in the special...

## Sessional Papers - Legislature of the Province of Ontario, Volume 6

...triangle. The complements of the parallelograms about the diagonal of any parallelogram are equal. The square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the sides. If a straight line be divided into any two parts, the sum of the...

## A High School Algebra, Part 2

Jacob William Albert Young - 1914 - 232 pages
...side is 20 in., using 1.7321 as V3. 54. Find the side of an equilateral triangle, if h = 9V3 in. 55. The square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides. Express this relation in the form of an equation, using...

## Industrial Arithmetic

Charles Gerard White, Pitt Payson Colgrove - Arithmetic - 1916 - 281 pages
...cylinders are to each other as the cubes of the altitudes or as the cubes of the radii of the bases. 253. The square on the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. 254. The right angle of a right-angled triangle is 90°....

## The Dublin University Calendar, Volume 1

...the triangle with the greater contained angle is greater than the base of the other. 2. Prove that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the remaining sides. 3. Prove thnt if a line AB is bisected in C and produced...

## A Plea for Latin

James Walker Downer - Classical education - 1916 - 40 pages
...college department. I then said, "Mr. Smith' will you please step to the board and prove for me that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares of the sides?" He looked at me in amazement and said that he could not do it...