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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 ... - Page 140
by T S. Taylor - 1880
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...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 - Euclid's Elements - 1806 - 320 pages
...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) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 pages
...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 - 588 pages
...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 - 354 pages
...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 - Mathematics - 1825 - 1046 pages
...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 - 226 pages
...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 - 234 pages
...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 ...

John Playfair - Circle-squaring - 1826 - 326 pages
...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 - Trigonometry - 1827 - 546 pages
...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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