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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 59 THEOREM 30.
The Elements of Surveying and Geodesy - Page 12
by William Charles Popplewell - 1915 - 244 pages

## Euclid's Elements of Geometry, Books 1-6

Henry Martyn Taylor - 1893 - 504 pages
...of the diagonals of the square constructed on the outer side of the hypotenuse. PROPOSITION 47. In a right-angled triangle, the square on the hypotenuse is equal to the sum of the squares on the other sides. Let ABC be a right-angled triangle, having the right angle BAC:...

## Euclid's Elements of Geometry, Books 1-6; Book 11

Henry Martyn Taylor - 1895 - 657 pages
...of the diagonals of the square constructed on the outer side of the hypotenuse. PROPOSITION 47. In a right-angled triangle, the square on the hypotenuse is equal to the sum of the squares on the other sides. Let ABC be a right-angled triangle, having the right angle BAC:...

## The Popular Science Monthly, Volume 50

Science - 1897
...numbers.. Your ordinary Englishman, indeed, is never quite satisfied by Euclid's demonstration that in a right-angled triangle the square on the hypotenuse is equal to the sum of the squares on the two opposite sides; he honestly believes it when he sees it tried a hundred and...

## Appletons' Popular Science Monthly, Volume 50

William Jay Youmans - Science - 1897
...numbers. Your ordinary Englishman, indeed, is never quite satisfied by Euclid's demonstration that in a right-angled triangle the square on the hypotenuse is equal to the sum of the squares on the two opposite sides; he honestly believes it when he sees it tried a hundred and...

## Elementary Geometry: Practical and Theoretical

Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 355 pages
...their vertices pointing outwards. Prove that AD=BE=CF. THEOREM 6. [THE THEOREM OF PYTHAGORAS.] 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. H Data ABC is a triangle, right.angled at A....

## The Encyclopedia Americana, Volume 13

...individuality. Pythagore'an Theorem, the 47th proposition of the first book of Euclid's Elements, which shows that in any right-angled triangle the square on the hypotenuse is equal to the sum of the squares on the other two sides. Pythagore'anism, the philosophical doctrine of the Pythagoreans,...

## A School Geometry, Parts 1-4

Henry Sinclair Hall - Geometry - 1908 - 138 pages
...square on AB, in the way indicated by corresponding numbers. These experiments point to the conclusion that : In any right-angled triangle the square on the hypotenuse is equal to the sum of the squares on the other two sides. A formal proof of this theorem is given on the next page. GEOMETRY....

## Appleton's New Practical Cyclopedia: A New Work of Reference Based ..., Volume 3

...forty-seventh proposition, or Pythagoras's theorem, is a brilliant line of reasoning to prove that in a right-angled triangle the square on the hypotenuse is equal to the sum of the squares on the other two sides. Descriptive geometry is that branch of practical mathematics...