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" If the square described upon one of the sides of a triangle, be equal to the squares described upon the other two sides of it; the angle contained by these two sides is a right angle. "
The first book of Euclid's Elements, simplified, explained and illustrated ... - Side 109
av Euclides - 1847
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 sider
...upon the sides AB, A C. Therefore, in any right-angled triangle, &c. QED PROPOSITION XLVin. THEOREM. If the square described upon one of the sides of a...equal to the squares described upon the other two tide* of it ; the angle contained by these two sides it a right angle. Let the square described upon...
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Report of the commissioners, Volum 6

Schools inquiry commission - 1868 - 532 sider
...share being 7/. 10s. Orf. 5. A is twice, and В is just one and a half times as good a workman as C. 1. If the square described upon one of the sides of a...triangle be equal to the squares described upon the two other sides of it, then the angle contained by those two other sides is a right angle. 2. А В...
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Report of the commissioners, Volum 7

Schools inquiry commission - 1868 - 682 sider
...trouvons pas notre repos en nous-mêmes il Test inutile de le chercher ailleurs. 30 100 1. If thé square described upon one of the sides of a triangle be equal to the squares described upon the two other sides of it, then the angle contained by those two other sides is a right angle. 5 2. А...
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Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1868 - 426 sider
...that the coefficients continually increase as the series proceeds. 10. If the square described on EC one of the sides of a triangle be equal to the squares described on the other two sides BA, AC, prove that the angle BAG is a right angle. If BDEC is the square described...
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Elements of geometry, containing the first two (third and fourth ..., Del 1

Euclides - 1871 - 136 sider
...equal to the difference between the squares on the segments of the base. PROPOSITION XLVIII. THEOREM. If the square described upon one of the sides of a...the other two sides of it, the angle contained by those sides is a right angle. £ 0 Let the sq. on BC, a side of A ABC, be equal to the sum of the sqq....
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The Edinburgh university calendar

Edinburgh univ - 1871 - 392 sider
...line perpendicular to a given straight line, of an unlimited length, from a given point without it. 2. If the square described upon one of the sides of a triangle is equal to the square described upon the other two sides of it; the angle contained by these two sides...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 376 sider
...equal to the difference between the squares on the segments of the base. PROPOSITION XL VI II. THEOREM. If the square described upon one of the sides of a triangle be equal to the squares described upon tfte other two sides of it, the angle contained by those sides is a right angle. BC Let the sq. on...
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The first and second books of Euclid explained to beginners, by C.P. Mason

Euclid, Charles Peter Mason - 1872 - 216 sider
...the sum of the parallelograms ALMD and LBEM ; that is, to the whole square ABED. PBOPOSITION XLVIII. If the square described upon one of the sides of a triangle bo equal to the sum of the squares described upon the other two sides, the angle contained by these...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 sider
...upon the sides AB, AC. Therefore, in any right-angled triangle, &c. QED PROPOSITION 48.— Theorem. If the square described upon one of the sides of a...angle contained by these two sides is a right angle. Let the square described upon BC, one of the sides of the triangle ABC, be equal to the squares upon...
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Pure mathematics, Volum 1

Edward Atkins - 1874 - 426 sider
...upon the sides BA, AC. Therefore, in any right-angled triangle, &c. Q- ED Proposition 48. — Theorem. If the square described upon one of the sides of a...angle contained by these two sides is a right angle. Let the square described upon BC, one of the sides of the triangle ABC, be equal to the squares described...
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