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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. "
Gradations in Euclid : books i. and ii., with an explanatory preface [&c ... - Σελίδα 18
των Euclides - 1858
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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
...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" — " 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
...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-tthe three angles of a triangle are equal to two right...

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 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....

The Mechanic's Magazine, Museum, Register, Journal and Gazette, Τόμος 30

1839 - 504 σελίδες
...solution (Epsom salts) there exists an insoluble material — illustrated by the mathematical theorem, that the square of the hypotenuse of a right-angled triangle, is equal, &c. It was in this part of his subject — for no where else had it any bearing on physical phenomena...

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...




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