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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 Progressive Practical Arithmetic: Containing the Theory of Numbers, in ... - Σελίδα 304
των Horatio Nelson Robinson - 1859 - 336 σελίδες
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Logick; Or, The Right Use of Reason in the Inquiry After Truth: With a ...

Isaac Watts - 1801 - 342 σελίδες
...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, may firmly...

The Operative Mechanic, and British Machinist: Being a Practical ..., Τόμος 1

John Nicholson - 1825 - 822 σελίδες
...: 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....

The Philosophy of a Future State

Thomas Dick - 1829 - 308 σελίδες
...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...

History of Rome [by H. Malden].

Henry Malden - 1830 - 166 σελίδες
...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...

The Builder's Practical Guide: Containing a Complete Explanation of the ...

John Nicholson (Civil engineer) - 1830 - 240 σελίδες
...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....

The Philosophy of a Future State

Thomas Dick - 1836 - 306 σελίδες
...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...

The Family Magazine, Τόμος 4

1837 - 490 σελίδες
...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. EDINBURGH....

Family Magazine: Or Monthly Abstract of General Knowledge..., Τόμος 4

1837 - 488 σελίδες
...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. EDINBURGH....

The philosophy of a future state

Thomas Dick - 1840 - 298 σελίδες
...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...

Contributions to Academic Literature

Charles Harrison Lyon - 1842 - 156 σελίδες
...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 length in...




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