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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. "
Gradations in Euclid : books i. and ii., with an explanatory preface [&c ... - Page 142
by Euclides - 1858
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Willis's Current notes

Willis's Current notes - Education - 1868 - 804 pages
...through a given poiut, a straight line parallel to a given straight line ? 2. Prove that if a square described upon one of the sides of a triangle be equal...squares described upon the other two sides of it, the angles contained by these sides is a right angle ? 3. Divide a right angle into three equal parts ?...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...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 triangle, be 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, Volume 6

Schools inquiry commission - Education - 1868 - 532 pages
...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 on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1868 - 426 pages
...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 ..., Part 1

Euclides - 1871 - 136 pages
...difference between the squares on the segments of the base. PROPOSITION XLVIII. THEOREM. If the square described upon one of the sides of a triangle be equal...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 pages
...Prove also the converse proposition. 2. If the square described upon one of the sides of a triangle is equal to the squares described upon the other two sides of it, the angle contained by these two sides is a right angle. 3. If a straight line touch a circle, and from the point of contact...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...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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Pure mathematics, Volume 1

Edward Atkins - 1874 - 426 pages
...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 triangle be equal...the other two sides of it, the angle contained by these two sides is a right angle. Let the square described upon BC, one of the sides of the triangle...
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The Elements of Euclid, containing the first six books, with a selection of ...

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

Edward Atkins - 1874 - 428 pages
...triangle, &c. QED Proposition 48.— Theorem. If the square described upon one of the sides of a triangla be equal to the squares described upon the other two sides of it, the angle contained by these two sides is a right angle. Let the square described upon BC, one of the sides of the triangle...
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