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Βιβλία Βιβλία 41 - 50 από 174 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 Practical Arithmetic on the Inductive Plan: Including Oral and Written ...

William James Milne - 1877 - 391 σελίδες
...sides of a rightangled triangle is expressed thus: 529. PRINCIPLES.— 1. The square described upon the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides. 2. The square on either of tie When the number of square units...

The Competitor, Τόμοι 3-4

1883
...to use all intelligible abbreviations and algebraic symbols.) 1. Prove that the square described on the hypotenuse of a right-angled triangle is equal to the sum of the squares described on the other sides. 2. Prove by a geometrical construction that the square' on...

Intuitions of the Mind: Inductively Investigated

James McCosh - 1882 - 451 σελίδες
...Caesar 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...

The New Physics: A Manual of Experimental Study for High Schools and ...

John Trowbridge - 1884 - 367 σελίδες
...the philosophical proofs. Thus we can by actual measurement ascertain the truth that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the base and altitude of the triangle, and, knowing this fact, we can make a great and...

The Practical Teacher, Τόμος 3

1884
...is 8,545 feet ; determine whether the parallelogram is a rectangle. By Euclid I. 47, the square on the hypotenuse of a rightangled triangle is equal to the sum of the squares on the sides. Here the diagonal corresponds with the hypotenuse. Now 75842 + 3937* = 73.°i7.°25,...

An introduction to geometry, consisting of Euclid's Elements, book ..., Τόμος 1

Euclides - 1884
...which shall be equal to a given straight line." 9. Give the proposition equivalent to : " The square on the hypotenuse of a right-angled triangle is equal to the sum of the squares upon the other two sides." 10. In the construction to XLVIII., show that it would be unsatisfactory...

Practical Arithmetic: By Induction and Analysis

Joseph Ray - 1885 - 336 σελίδες
...heing the base, BC the perpendicular, BI 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 the rule for square root? NOTES. How proceed...

A History of Education

Franklin Verzelius Newton Painter - 1886 - 343 σελίδες
...Pythagoras to this science was not fruitless. To him we owe the discovery of the geometrical truth that the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. Religion formed the basis of moral action. Pythagoras, by a profound...

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

Horatio Nelson Robinson - 1888
...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...

Practical Surveying: A Text-book for Students Preparing for Examinations Or ...

George William Usill - 1889 - 272 σελίδες
...given we can define all the angles. Now the relations of trigonometrical ratios to one another (since the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the two sides) are as follows : — Since a1 + b' — c\ .. .... . , a2 62 c2 , dividing...




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