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 Βιβλία Βιβλία 31 - 40 από 173 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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Practical Arithmetic: By Induction and Analysis

Joseph Ray - 1857 - 320 σελίδες
...being the base, BC the perpendicular, and AC the hypotenuse. ART. 290. It is a known principle, that the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. REVIEW. — 287. What is tho rule for square root? NOTES. How proceed...

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

Horatio Nelson Robinson, Daniel W. Fish - 1868 - 372 σελίδες
...be solved by the use of the two following principles, which are demonstrated in geometry. 1st. Tlie 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...

A Complete Arithmetic: Uniting Mental and Written Exercises in a Natural ...

Emerson Elbridge White - 1870 - 340 σελίδες
...The other two sides are called the Base and the Perpendicular. (Art. 155.) 419. PRINCIPLES. — 1. The square of the hypotenuse of a, right-angled triangle is equal to the sum of the squares of the other two sides. This principle, which may be proven by geometry, is illustrated...

Robinson's Progressive Practical Arithmetic: Containing the Theory of ...

Horatio Nelson Robinson, Daniel W. Fish - 1858 - 372 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...

Common School Arithmetic on the Analytic System: With an Appendix of the ...

Shelton Palmer Sanford - 1872 - 373 σελίδες
...the perpendicular, and BC the hypotenuse. ART. 336. It is an established princijJe af Geometry that the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. This is illustrated by the diagram B on the right. By counting...

The Human Mind: A System of Mental Philosophy for the General Reader

James Gracey Murphy - 1873 - 345 σελίδες
...step to method, which is in fact the synthesis of that which has been duly analysed. The theorem that the square of the hypotenuse of a right-angled triangle is equal to the sum of th' e squares of the other two sides may be regarded as the crowning achievement of the first book...

An Intermediate Arithmetic ...: (Robinson's Shorter Course).

Daniel W. Fish - 1874 - 298 σελίδες
...solved by the use of the following principle, which is demonstrated in geometry. 423. PRINCIPLE. — The square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. WRITTEN EXERCISES. 1. The two sides of a right-angled triangle...

The Intuitions of the Mind Inductively Investigated

James McCosh - 1874 - 451 σελίδες
...Cfesar 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...

Common School Arithmetic: Combining the Elements of the Science with Their ...

John Homer French - 1876 - 348 σελίδες
...Geometrical Principles, but the illustration is not an analysis of the principle. Geometrical ^Principles. I. The square of the hypotenuse of a rightangled triangle is equal to the sum of the squares of the other two sides. II. The diameter of a circle : the circumference : : 113 : 855....

Ray's New Practical Arithmetic: A Rev. Ed. of the Practical Arithmetic

Joseph Ray - 1877 - 336 σελίδες
...the hypotenuse. BC the base, and AC the perpendicular. / 4. Proposition. — The square described on the hypotenuse of a right-angled triangle is equal to the sum of the squares described on the other tico sides. Draw a right-angled triangle, ABC,^ with the side BC...