Search Images Maps Play YouTube News Gmail Drive More »
Sign in
Books Books
" In a right-angled triangle, the square on the hypotenuse is equal to the sum of the squares on the sides containing the right angle . . . . 130 Applications of Pythagoras' theorem . . . . 132 THEOREM 6. "
A Shorter Geometry - Page xi
Limited preview - About this book

The Shipley Collection of Scientific Papers, Volume 267

Zoology - 1926 - 748 pages
...books extant and lost which have been attributed to him; for Proposition 47 of the First Book (In every right-angled triangle, the square on the hypotenuse is equal to the sum of the squares on the other sides) was the discovery of Pythagoras; while Theon of Alexandria is known...
Full view - About this book

Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855 - 1050 pages
...angles. 4. In a right-angled triangle, the square on the side subtending the right angle is equal to the sum of the squares on the sides containing the right angle. Consider the case of a rectangle, from which a rectangular piece, at one of the angles, is taken away....
Full view - About this book

Loftus's Inland Revenue Officers' Manual ...

William Harris Johnston - 1865 - 478 pages
...on the other two sides," that is, the square on the side opposite to the right angle equals in area the sum of the squares on the sides containing the right angle. From this property, (as established by Euclid, Book I., Prop. 47,) it follows that the hypotenuse must...
Full view - About this book

The Substitution of Similars: The True Principle of Reasoning, Derived from ...

William Stanley Jevons - Analogy - 1869 - 134 pages
...of our principle. To prove that the square on the hypothenuse of a right-angled triangle is equal to the sum of the squares on the sides containing the right angle, Euclid takes only a single example of such a triangle, and proves this to be true. He then trusts to...
Full view - About this book

The first and second books of Euclid explained to beginners, by C.P. Mason

Euclid, Charles Peter Mason - Geometry - 1872 - 216 pages
...bisect a given finite right line. (I. 10.) For the proof we must know (besides the axioms), — 1. That in a right-angled triangle the square on the hypotenuse is equal to the sum of the squares on the other two sides. (I. 47.) 2. That if a line be divided into two equal, and also...
Full view - About this book

Unterricht, Erziehung und Fortbildung. 2 Bde. [in 3pt ..., Volume 2, Part 2

H. Loehnis - 1876 - 650 pages
...straight line. 3. ProTO that the diameter of a parallelogram divides it into two equal partg. 4. Show that in a right-angled triangle the square on the hypotenuse is equal to the sum of the squares on the other two sides. What is the length of the hypotenuse when the other sides are...
Full view - About this book

Mathematical Exercises ...: Examples in Pure Mathematics, Statics, Dynamics ...

Samuel H. Winter - 1877 - 452 pages
...equal. 3. In a right-angled triangle the square on the side subtending the right angle is equal to the sum of the squares on the sides containing the right angle. Show how to construct a straight line, the square on which shall be any given multiple of a given square....
Full view - About this book

A Treatise on Arithmetic

James Hamblin Smith, Thomas Kirkland - Arithmetic - 1877 - 376 pages
...we know that in a right.angled triangle the square on the side opposite the right angle is equal to the sum of the squares on the sides containing the right angle. Hence the square o/the measure of the side opposite the right angle is equal to the sum of the squares...
Full view - About this book

Studies in Deductive Logic: A Manual for Students

William Stanley Jevons - Philosophy - 1880 - 372 pages
...opposite two are parallel. (3) The square on the hypothenuse of a right-angled triangle is equal to the sum of the squares on the sides containing the right angle. (4) The swallow is a migratory bird. (5) Axioms are self-evident truths. 5. Classify the following...
Full view - About this book

Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...that the difference of the angles DCA, DCB is equal to the difference of the angles A, B. 4. In any right-angled triangle the square on the hypotenuse is equal to the sum of the squares on the sides. ABCD is a quadrilateral having the diagonals AC, BD at right angles. Show...
Full view - About this book




  1. My library
  2. Help
  3. Advanced Book Search