Search Images Maps Play YouTube News Gmail Drive More »
Sign in
Books Books
" 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 ... - Page 18
by Euclides - 1858
Full view - About this book

The Practical Arithmetic on the Inductive Plan: Including Oral and Written ...

William James Milne - Arithmetic - 1877 - 402 pages
...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...
Full view - About this book

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

Joseph Ray - Arithmetic - 1877 - 402 pages
...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...
Full view - About this book

The Intuitions of the Mind Inductively Investigated

James McCosh - Intuition - 1882 - 472 pages
...Julius 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...
Full view - About this book

The Competitor, Volumes 3-4

1883 - 248 pages
...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...
Full view - About this book

The Practical Teacher, Volume 3

Education - 1884 - 708 pages
...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,...
Full view - About this book

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

John Trowbridge - Physics - 1884 - 408 pages
...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...
Full view - About this book

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

Euclides - 1884 - 182 pages
...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...
Full view - About this book

Practical Arithmetic, by Induction and Analysis

Joseph Ray - Arithmetic - 1885 - 358 pages
...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...
Full view - About this book

A History of Education

Franklin Verzelius Newton Painter - Education - 1886 - 378 pages
...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...
Full view - About this book

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

Horatio Nelson Robinson - 1888 - 372 pages
...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...
Full view - About this book




  1. My library
  2. Help
  3. Advanced Book Search
  4. Download EPUB
  5. Download PDF