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" The square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. "
Plane and Solid Geometry - Page 293
by Seth Thayer Stewart - 1891 - 406 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
...mathematician assures •A 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,...
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The Operative Mechanic, and British Machinist: Being a Practical ..., Volume 1

John Nicholson - Machinery - 1825 - 822 pages
...: AC: : AC : AB, and BD : BC : : BC : AB. 3. The angle ACB, in a semicircle, is always a right. 4. The square of the hypotenuse of a right-angled triangle, is equal to the squares of both the sides. That is, AC* = AD" + DC1, and BC* = BD* -f- DC', andAB°-= AC4 + BC4....
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The Philosophy of a Future State

Thomas Dick - Future life - 1829 - 308 pages
...as extremely trivial, and almost unworthy of regard. The properties of a triangle, such as, " that the square of the hypotenuse of a right-angled triangle, is equal to the squares of the other two sides" — " that the three angles of a triangle are equal to two right...
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The Builder's Practical Guide: Containing a Complete Explanation of the ...

John Nicholson (Civil engineer) - Building - 1830 - 240 pages
...AC : : AC : AB, ! and BD : BC : : BC : AB. 3 The angle ACB, in a semicircle, is always a right. 4. The square of the hypotenuse of a right-angled triangle, is equal to the squares of both the sides. That is, AC2 = AD2 + DC4, and BC2 = BD2 + DC8, and AB2= AC2 + BC2. 5....
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A Collection of Cambridge Mathematical Examination Papers: Papers in the ...

John Martin Frederick Wright - Astronomy - 1831 - 282 pages
...of the squares be joined ; the sum of the squares of the sides of the hexagonal figure thus formed is equal to four times the sum of the squares of the sides of the triangle. 14,. If all the angular points of a regular polygon of n sides be joined, and...
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The Philosophy of a Future State

Thomas Dick - Future life - 1836 - 306 pages
...as extremely trivial, and almost unworthy of regard. The properties of a triangle, such as, " that the square of the hypotenuse of a right-angled triangle is equal to the squares of the other two sides" — "tha-tthe three angles of a triangle are equal to two right...
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The Family Magazine, Volume 4

1837 - 490 pages
...extraction of the 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....
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Family Magazine: Or Monthly Abstract of General Knowledge..., Volume 4

1837 - 488 pages
...extraction of the 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....
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The philosophy of a future state

Thomas Dick - 1840 - 298 pages
...thinker, as extremely trivial, and almost unworthy of regard. The properties of a triangle, such as, "that the square of the hypotenuse of a right-angled triangle is equal to the squares of the other two sides" — " tha't the three angles of a triangle are equal to two right...
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Contributions to Academic Literature

Charles Harrison Lyon - American essays - 1842 - 156 pages
...Then we have 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...
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