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" Pythagoras' theorem states that the square of the length of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the lengths of the other two sides. "
The New Business Arithmetic: A Treatise on Commercial Calculations - Page 333
by Orville Marcellus Powers - 1906 - 374 pages
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Logick; Or, The Right Use of Reason in the Inquiry After Truth: With a ...

Isaac Watts - Conduct of life - 1801 - 342 pages
...ploughman that the three angles of a triangle are equal to two right angles, or that the square of the hypotenuse of 'a right-angled triangle is equal to the sum of the squares of the two sides; the ploughman, who has but confused ideas of these things, may firmly...
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History of Rome [by H. Malden].

Henry Malden - Rome - 1830 - 166 pages
...arithmetic, mathematics, and astronomy. He discovered the proof of the proposition, that the square en the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other sides. He knew that the sun was the centre round which the earth and other...
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The Family Magazine, Volume 4

1837 - 490 pages
...square root ; but no figure or explanation is given, excepting the following foot-note : " The square of the hypotenuse of a right-angled triangle, is equal to the sum of the squares of the other two sides." It should be represented as under : OLASGOW. 44 miles. EDINBURGH....
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Family Magazine: Or Monthly Abstract of General Knowledge..., Volume 4

1837 - 488 pages
...square root ; but no figure or explanation is given, excepting the following foot-note : " The square of the hypotenuse of a right-angled triangle, is equal to the sum of the squares of the other two sides." It should be represented as under : GLASGOW. 44 miles. EDINBURGH....
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Contributions to Academic Literature

Charles Harrison Lyon - American essays - 1842 - 156 pages
...only to find the hypotenuse of the right-angled triangle BO E. Now it is well known that the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. If then we take twice the square of 25, which is the length in...
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Rainey's Improved Abacus: An Explanatory Treatise on the Theory and Practice ...

Thomas Rainey - Arithmetic - 1849 - 334 pages
...the triangle, the line of the base must be produced until it meets the vertical line. The square* of the hypotenuse of a right-angled triangle, is equal to the sum of the squares of the base and side. For example ; the base of a right-angled triangle is 8, the side...
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An Introductory Treatise on Mensuration in Theory and Practice ...

John Radford Young - Measurement - 1850 - 294 pages
...from knowing the third side. It is proved in the 47th Prop, of Enclid's first book, that the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the base and perpendicular; and consequently that the square of one of these latter...
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The Bibliotheca Sacra and American Biblical Repository, Volume 14

Theology - 1857 - 924 pages
...the very nature of things, two and two make four ; the whole is greater than a part ; the square of the hypotenuse of a right-angled triangle, is equal to the sum of the squares of the other two sides. We find, in the works of Dr. Gill, no allusion to the Utilitarian...
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A Manual of Greek Literature: From the Earliest Authentic Periods to the ...

Charles Anthon - Greek literature - 1853 - 600 pages
...the propositions that the triangle inscribed in a semicircle is right-angled, and that the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares on the sides.2 Discoveries in astronomy are also attributed to him ; and there can be little...
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A Manual of Greek Literature: From the Earliest Authentic Periods to the ...

Charles Anthon - Greek literature - 1853 - 610 pages
...the propositions that the triangle inscribed in a semicircle is right-angled, and that the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares on the sides.' Discoveries in astronomy are also attributed to him ; and there can be little...
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