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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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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 518 sider
...squares upon the sides BA, AC. Therefore, in any right angled triangle, &c. QED PROP. XLVIII. THEOR. IF the square described upon one of the sides of a...angle contained by these two sides is a right angle. Book I. If the square described upon BC, one of the sides of the tri*• ¥••< angle ABC, be equal...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 311 sider
...upon the sides BA, AC. Therefore, in any right angled triangle, &c. QED PROP. XLVIII. THEOR. Book I. IF the square described upon one of the sides of a...angle contained by these two sides is a right angle. If the square described upon BC, one of the sides of the triangle ABC, be equal to the squares upon...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1810 - 518 sider
...the sides ISA, AC. Therefore, in any right angled triangle, &c. Q. E* D. e 2 Ax PROP. XLVIII. THEOR. IF the square described upon one of the sides of a...other two sides of it ; the angle contained by these :wo sides is a right angle. G Book I. If the square described upon BC, one of the sides of the tri>...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volum 5

John Mason Good - 1813
...is equal to the squares described upon the sides which contain the right angle. Prop. XLV1II. Theor. If the square described upon one of the sides of a...angle contained by these two sides is a right angle. Book II. Def. I .—-Every right angled parallelogram Is said to be contained by any two of the straight...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 sider
...squares upon the sides BA, AC. Therefore, in any right-angled triangle, &c. QED PROP. XL VIII. THEOR. Ir the square described upon one of the sides of a triangle,...other two sides of it ; the angle contained by these t\\o sides is a right angle. Boo* I. If the square described upon BC, one of the sides of the *"""...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 333 sider
...squares upon the sides BA, AC. Therefore, in any right angled triangle, &c. Q, ED PROP. XLVIII. THEOR. // the square described upon one of the sides of a triangle,...angle contained by these two sides is a right angle. If the square described upon BC, one of the sides of the triangle ABC, be equal to the squares upon...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 317 sider
...squares upon the sides BA, AC. Therefore, in any right angled triangle, &c. Q, ED PROP. XLVIII. THEOR. If the square described upon one of the sides of a...two sides of it ; the angle' con.tained by these two sidef is a right angle. i If the square described upon BC, one of the sides of the triangle ABC, be...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volum 5

John Mason Good - 1819
...is equal to the squares described upon the sides which contain the right angle. Prop. XLVIII. Theor. If the square described upon one of the sides of a...the squares described upon the other two sides of it j the angle contained by these two «ides is a right angle. Book II. Def. 1. — Every right angled...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1821 - 516 sider
...BA, AC. Therefore, in any right angled triangle, &c. QED ', » • PROP. XL VIII. THEOR, i ; i • IP the square described upon one of the sides of a triangle...angle contained by these two sides is a right angle. If the square described upon BC, one of the sides of the triangle ABC, be equal to the squares upon...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 sider
...EUCLID. the sides BA, AC. Therefore, in any right-angled triangle, Sec. QED Proposition XLV1II. Theorem. If the square described upon one of the sides of a...triangle, be equal to the squares described upon the oiher two sides of it, the angle contained by these two sides is a right angle. If the square described...
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