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" The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides. "
Elements of Geometry: And the First Principles of Modern Geometry - Page 75
by William Henry Harrison Phillips - 1878 - 209 pages
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The Logic and Utility of Mathematics,: With the Best Methods of Instruction ...

Charles Davies - Logic - 1850 - 398 pages
...prove that the square Example, described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides, we demonstrate the fact for all right-angled triangles. But in analysis, all numbers, all lines, all...
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Annual Report of the Commissioners ...

1851 - 382 pages
...equal to a given angle, . •I. If the square described upon one of the sides _ 1C 3 of a triangle be equal to the sum of the squares described on the other two sides, the angle contained by those two sides is a right angle, . . 3. If a straight line be divided into...
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A Theoretical and Practical Arithmetic: Designed for Common Schools and ...

Daniel Leach - Arithmetic - 1851 - 280 pages
...called the hypothenuse, and A Eas6' the other two sides the base and perpendicular. longest side , is equal to the sum of the squares described on the other two sides. Thus, suppose the longest side is 10 ft.., the base 6 ft., and the perpendicular 8 ft. 102:z=:100....
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An elementary course of practical mathematics, Part 2

James Elliot - 1851 - 152 pages
...any regular hexagon previously constructed. 136 PROPOSITION LXVI. THEOREM. The Square described on the Hypothenuse of a right-angled Triangle is equal to the Sum of the Squares described on the two other Sides. Let ABC be a rightangled triangle, and let AD be a square...
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Medical Times, Volume 23

1851 - 730 pages
...angles equal, prove that the triangles will be equal in every respect. 8. The square constructed on the hypothenuse of a right-angled triangle is equal to the sum of the squares constructed on the sides which contain the right angle. 9. If any point in the circumference...
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Familiar Letters on Chemistry: In Its Relations to Physiology, Dietetics ...

Justus Freiherr von Liebig - Chemistry - 1851 - 576 pages
...practical examples, before the science was established by abstract reasoning. Thus, that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides, was an experimental discovery, else why did the discoverer sacrifice...
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Young Scientist: A Practical Journal for Amateurs, Volume 1

1851 - 716 pages
...this proposition is known as the Pythagorean : the square described upon the hypothenuse is equivalent to the sum of the squares described on the other two sides. As the unit of measure for the determination of the superficial relations of figures, we use a square...
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Iconographic Encyclopaedia of Science, Literature, and Art, Volume 1

Johann Georg Heck - Encyclopedias and dictionaries - 1851 - 712 pages
...this proposition is known as the Pythagorean : the square described upon the hypothenuse is equivalent to the sum of the squares described on the other two sides. As the unit of measure for the determination of the superficial relations of figures, we use a square...
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miss martineau & her master

j. stevenson bushnan, m.d. - 1851 - 206 pages
...greater than its part; of the latter description we have an example in the proposition that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the two sides, and in all other mathematical truths that are not at once apparent. And,...
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The University Arithmetic: Embracing the Science of Numbers, and Their ...

Charles Davies - Arithmetic - 1852 - 438 pages
...worthy of particular notice. In every right angled triangle, the square described on the hypothenuse, is equal to the sum of the squares described on the other two sides. Thus, if ABC be a right angled tria,ngle, right angled at C, then will the square D described on AB...
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