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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. "
Exercises in Stewart's Plane and Solid Geometry: With Solutions for Teachers - Seite 151
von Seth Thayer Stewart - 1893 - 225 Seiten
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Logick; Or, The Right Use of Reason in the Inquiry After Truth: With a ...

Isaac Watts - 1801 - 342 Seiten
...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 ..., Band 1

John Nicholson - 1825 - 822 Seiten
...: 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 - 1829 - 308 Seiten
...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) - 1830 - 240 Seiten
...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 - 1831 - 282 Seiten
...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 - 1836 - 306 Seiten
...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, Band 4

1837 - 490 Seiten
...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..., Band 4

1837 - 488 Seiten
...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 Seiten
...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 - 1842 - 156 Seiten
...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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