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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. "
First principles of Euclid: an introduction to the study of the first book ... - Side 142
av T S. Taylor - 1880
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 518 sider
...Therefore, in any right angled triangle, &c. QED PROP. XLVIII. THEOR. 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. Book I. If...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 311 sider
...Therefore, in any right angled triangle, &c. QED PROP. XLVIII. THEOR. Book I. 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. If the square...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volum 5

John Mason Good - 1813
...described upon the sides which contain the right angle. Prop. XLV1II. Theor. 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. Book II. Def....
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 sider
...Therefore, in any right-angled triangle, &c. QED PROP. XL VIII. THEOR. Ir 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 t\\o sides is a right angle. Boo* I....
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 317 sider
...Therefore, in any right angled triangle, &c. Q, ED PROP. XLVIII. THEOR. 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' con.tained by these two sidef is a right angle. i If the...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 sider
...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...
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826
...every branch of the mathematics. PROPOSITION XLVIII. THEOREM. If the square which is described upon one of the sides of a triangle be equal to the squares which are described on the other two sides, then shall the angle which is contained .:.:. • ty these...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 180 sider
...every branch of the mathematics. PROPOSITION XLVIII. THEOREM. If the square which is described upon one of the sides of a triangle be equal to the squares which are described on the other two sides, then shall the angle which is contained by these two remaining...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1826 - 320 sider
...AC. Therefore, in any right angled triangle, &.<:-f PROP. XLVIII. THEOR. If the square deseribed upon one of the sides of a triangle, be equal to the squares deseribed upon the other two sides of it ; the angle eontained by these two sides is a right angle....
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 sider
...Therefore, in any right-angled triangle, &c. QED PROP. XLVIII. THEOR. 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. Let the square...
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