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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. "
Elements of geometry, based on Euclid, books i-iii - Page 53
by Edward Atkins - 1876 - 119 pages
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 518 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...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 - 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...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 - Geometry - 1810 - 518 pages
...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 triangle be equal to the squares...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 ..., Volume 5

John Mason Good - 1813 - 722 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...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 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...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 ...

Euclid, John Playfair - Circle-squaring - 1819 - 348 pages
...Therefore, in any right angled triangle, &c. Q, ED PROP. XLVIII. THEOR. // the square described upon one of the sides of a triangle, be equal to the squares...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 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...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 ..., Volume 5

John Mason Good - 1819 - 740 pages
...described upon the sides which contain the right angle. 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 j the angle contained by these two «ides is a right angle. Book II. Def. 1. — Every right angled...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 372 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 described...
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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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