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" In any right-angled triangle, the square which is described on the side subtending the right angle is equal to the sum of the squares described on the sides which contain the right angle. "
The Elements of geometry [Euclid book 1-3] in general terms, with notes &c ... - Page 37
by Euclides - 1833
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Lectures on the Philosophy of Arithmetic and the Adaptation of that Science ...

Uriah Parke - Arithmetic - 1849 - 414 pages
...enabling him to make the discovery. The proposition is, that In every right angled triangle the square of the side subtending the right angle, is equal to the sum- of the squares of the two sides containing the right angle; or in other words, the square of the Hypotenuse...
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Lectures on the Philosophy of Arithmetic and the Adaptation of that Science ...

Uriah Parke - Arithmetic - 1850 - 402 pages
...enabling him to make the discovery. The proposition is, that In every right angled triangle the square of the side subtending the right angle, is equal to the sum of the squares of the two sides containing the right angle; or in other words, the square of the Hypotenuse...
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Papers for the Schoolmaster, Volume 1

1851 - 268 pages
...the triangle, but shall contain a greater angle. 2. In any right angled triangle the square which is described on the side sub-tending the right angle is equal to the sum of the squares described upon the sides which contain the right angle. 3. If a straight line be divided into...
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The Family tutor, Volume 1

398 pages
...1st Book of the Elements of Euclid, prove that in any right-angled triangle the equilateral triangle described on the side subtending the right angle is equal to the equilateral triangles described on the sides containing the right angle. 151 — Pronunciation. Orion....
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The English Journal of Education, Volume 6

Education - 1852 - 512 pages
...the triangle, but shall contain a greater angle. 2. In any right-angled triangle, the square which is described on the side subtending the right angle is equal to the sum of the squares described upon the sides which contain the right angle. 3. If a straight line be divided into...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 pages
...the proof, is of no further use. It is only in reality an involved mode of stating, that the square on the side subtending the right angle is equal to the sum of the squares on the two other sides of a right angled triangle.] OF EUCLID. PEOP. XIV. PEOB. To describe...
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Five Years in an English University, Volume 2

Charles Astor Bristed - 1852 - 470 pages
...equal bases, and between the same parallels, are equal. 8. In any right-angled triangle, the square of the side subtending the right angle is equal to the sum of those described on the two other sides. 9. If a line be bisected, and produced to any point, the squares...
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Public Education: As Affected by the Minutes of the Committee of Privy ...

Sir James Kay-Shuttleworth - Church and education - 1853 - 522 pages
...the triangle, but shall contain a greater angle. 2. In any right angled triangle, the square which is described on the side subtending the right angle is equal to the sum of the squares described upon the sides which contain the right angle. 3. If a straight line be divided into...
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The Elements of Intellectual Philosophy

Francis Wayland - Philosophy - 1854 - 436 pages
...first book of Euclid's elements, or that which proves that in any right-angled triangle, the square of the side subtending the right angle is equal to the sum of the squares of the sides containing the right angle. I presume every reader to be familiar with the proposition,...
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The Elements of Intellectual Philosophy

Francis Wayland - Philosophy - 1861 - 444 pages
...first book of Euclid's elements, or that which proves that in any right-angled triangle, the square of the side subtending the right angle is equal to the sum of the squares of the sides containing the right angle. I presume every reader to be familiar with the proposition,...
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