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Βιβλία Βιβλία 21 - 30 από 165 για Pythagoras' theorem states that the square of the length of the hypotenuse of a right-angled....
" 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. "
Rainey's Improved Abacus: An Explanatory Treatise on the Theory and Practice ... - Σελίδα 237
των Thomas Rainey - 1849 - 312 σελίδες
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The North American Practical School Arithmetic: Particularly Adapted to the ...

David Price - 1858 - 252 σελίδες
...Multiply the length of the base by the perpendicular, and divide the product by 2 for the area. NOTK.— The square of the hypotenuse of a right-angled triangle, is equal to the sum of the squares of the other two sides. EXAMPLES. 22. Find the area of a triangle whose base is 10 feet,...

The Progressive Practical Arithmetic: Containing the Theory of Numbers, in ...

Horatio Nelson Robinson - 1859 - 336 σελίδες
...may be solved by the use of the two following principles, which are demonstrated in geometry. 1st. The square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. 2d. The areas of two circles are to each other as the squares of...

School Funds and School Laws of Michigan: With Notes and Forms to which are ...

John M. Gregory - 1859 - 448 σελίδες
...the truth,of what is popularly known as the Carpenter's Theorem, to wit: The square described upon the hypotenuse of a right-angled triangle is equal to the sum of the squares described upon thel other two sides. Although not a demonstration, it will carry with it...

Arithmetic, theoretical and practical. [With] Key

Chambers W. and R., ltd - 1859
...another 3 feet, then — the first circle : the second : : 2* : 3r, or as 4 : 9. II. 'ТнЕ SQUARE OP THE HYPOTENUSE of a right-angled triangle is equal to the sum of the squares of the base and perpendicular.' In the annexed diagram, AC is the hypotenuse, AB the base,...

The Progressive Higher Arithmetic: For Schools, Academies, and Mercantile ...

Horatio Nelson Robinson - 1860 - 432 σελίδες
...tho base of the triangle, and one on DF, -which is equal to the perpendicular of the triangle. Hence, The square of the hypotenuse of a right-angled triangle is equal to the sum of flie. squares of the other two sides. From this property we derive the following RULE. I. To find the...

Bryant and Stratton's Commercial Arithmetic: In Two Parts. Designed for the ...

Emerson Elbridge White - 1861 - 332 σελίδες
...sides are called the base and perpendicular. Perpendicular. Base. It is an established theorem that the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. The annexed figure illustrates this theorem and the following rules....

Plane Trigonometry for the Use of Colleges and Schools: With Numerous Examples

Isaac Todhunter - 1864 - 279 σελίδες
...preceding proof it should be remarked that it is shewn in Euclid, I. 47, that the square described on the hypotenuse of a right-angled triangle is equal to the sum of the squares described on the sides ; and it is known that the geometrical square described upon any...

The Intuitions of the Mind Inductively Investigated

James McCosh - 1865 - 448 σελίδες
...Csesar lived, or that Jesus Christ died and rose again, or those by which we come to be assured that the square of the hypotenuse of a right-angled triangle is equal to the square of the other two sides. But in all such regressions we must at last come back to something...

Illinois Teacher: Devoted to Education, Science and Free Schools, Τόμος 12

1866
...Emmaretta Williams, who demonstrated the beautiful I'ythagor'ean theorem, "The square described on the hypotenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides." Miss Lizzie Trull and Mr, Allison also deserve especial...

Trigonometry for Beginners: With Numerous Examples

Isaac Todhunter - 1866 - 192 σελίδες
...demonstration it should be remarked that it is shewn in Euclid i. 47, that the square described on the hypotenuse of a right-angled triangle is equal to the sum of the squares described on the sides; and it is known that the geometrical square described on any straight...




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