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Guido, with a burnt stick in his hand, demonstrating on the smooth paving-stones of the path, that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides.
Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ... - Σελίδα 118
των Euclides - 1864
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...between the sides AB and B c, and whatever their lengths are, the square of the hypotenuse is always equal to four times the area of the triangle, together with the square of the difference of the two sides which contain the right angle. These, however, are not exactly the...

## Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and ...

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...between the sides AB and B c, and whatever thenlengths are, the square of the hypotenuse is always equal to four times the area of the triangle, together with the square of the difference of the two sides which contain the right angle. These, however, are not exactly the...

## Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

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## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

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...angle : D is the middle point of AB, and CEis drawn perpendicular to AB. Shew that the square on AC ia double of the squares on AD and DE. 28. Produce one...together with the square on the difference of the sides. • l 31. In the triangle ABC, if AD be the perpendicular let fall upon the side BC; then the square...

## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 σελίδες
...AE, by AF and BF are together less than the sum of the squares on the sides of the triangle. iv. 35. Shew that the square on the hypotenuse of a right-angled...together with the square on the difference of the sides. 36. In the triangle ABC, if AD bo the perpendicular let fall upon the side BC; then the square on AC...

## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 410 σελίδες
...under it and the produced part may be equal to the difference of the squares on the other two sides. IV. 30. Shew that the square on the hypotenuse of...upon the side BC; then the square on AC together with therectangle contained by BC, BD is equal to the square on AB together with the rectangle CB, CD. 32....

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...one angle of a parallelogram is a right angle, so is each of the others. Proposition 47. — Theorem. The square on the hypotenuse of a right-angled triangle is equal to the squares on the sides. If C is the right angle in ABC, the square on AB = the squares on AC, CB....

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...middle points, is equal to the sum of the squares on the other two sides and on the diagonals. 27. Prove that the square on the hypotenuse of a right-angled...together with the square on the difference of the sides. 28. In any triangle, if a line be drawn from the vertex bisecting the base, the sum of the squares...