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" Put another way, if you construct squares on the edges of a right-angled triangle, the area of the square on the hypotenuse is equal to the sum of the areas of the squares on the other two sides. "
Business Arithmetic - Σελίδα 134
των George Washington Miner, Fayette Herbert Elwell, Frank Charles Touton - 1923 - 410 σελίδες
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Elements of Geometry

Eli Todd Tappan - 1885 - 276 σελίδες
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Philosophical Arithmetic, Τόμος 3

Ronald Shand Anderson - 1899 - 124 σελίδες
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The First Book of Euclid's Elements: Arranged for Beginners

Euclid, John Bascombe Lock - 1892 - 188 σελίδες
...equal to the area PAC. Proposition 47. 145. In a right-angled triangle the area of the square described on the hypotenuse is equal to the sum of the areas of the squares described upon the other two sides of the triangle. Let ABC represent a triangle in which the angle...

Bulletin

1899 - 884 σελίδες
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Observational Geometry

William Taylor Campbell - 1899 - 276 σελίδες
...cm. (or 1j in. and 3 in.) long. The connection between the area of the square on the hypotenuse and the sum of the areas of the squares on the other two sides is the same in any right triangle as in the case of the two which you have just drawn, and is...

Annual Report of the Commissioners ..., Τόμος 68

1902 - 482 σελίδες
...a right-angled triangle, and show that the area of the square on the side opposite the right angle is equal to the sum of the areas of the squares on the other two sides. 9. Find area of the curved surface of a cylinder by wrapping paper round it. 10. Find volume...

Arithmetic, by J.W.A. Young and Lambert L. Jackson, Βιβλίο 3

Jacob William Albert Young - 1905 - 264 σελίδες
...area of the square drawn on the hypotenuse? 7. Compare the area of the square on the hypotenuse with the sum of the areas of the squares on the other two sides. Pig. 2. 8. Construct a right-angled triangle having a hypotenuse 10 in. and one side 6 in. Find...

Arithmetic, Βιβλίο 3

Jacob William Albert Young - 1905 - 266 σελίδες
...area of the square drawn on the hypotenuse? 7. Compare the area of the square on the hypotenuse with the sum of the areas of the squares on the other two sides. Fig. 2. 8. Construct a right-angled triangle having a hypotenuse 10 in. and one side 6 in. Find...

Elementary Science for Pupil Teachers

W. T. Clough - 1907 - 204 σελίδες
...triangles on equal bases and between the same parallels are equal. Expt. 89 In a right.angled triangle the area of the square on the hypotenuse is equal...the sum of the areas of the squares on the other two sides. Test this statement by drawing the figures on squared paper, and then counting the small squares....

Plane and Solid Geometry

Elmer Adelbert Lyman - 1908 - 364 σελίδες
...described on the other two sides. Given : A right.angled A ABC. To Prove: That the area of the square on AB is equal to the sum of the areas of the squares on AC and CB. Proof: Construct the squares ABED, BCGF, and ACHI on AB, CB, and AC respectively. Draw CJ...




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