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" If the square described on one of the sides of a triangle be equal to the squares described on the other two sides of it, the angle contained by these two sides is a right angle. "
The Competitor - Page 231
1882
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...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 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: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...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 the square described upon BC, one of the sides of the tri*• „••< angle ABC, be equal...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 pages
...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. I .—-Every right angled parallelogram Is said to be contained by any two of the straight...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 350 pages
...// 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 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 - 354 pages
...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 square described upon BC, one of the sides of the triangle ABC, be...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...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 upon BC, one of the sides of the triangle ABC, be equal to the squares upon...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...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 described upon BC, one of the sides of the triangle ABC, be equal to the squares upon...
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Geometry Without Axioms; Or the First Book of Euclid's Elements. With ...

Thomas Perronet Thompson - Euclid's Elements - 1833 - 168 pages
...was to be demonstrated. PROPOSITION XLVIII. THEOREM. — If the square described on one of the sides of a triangle, be equal to the sum of the squares described on the other two sides of it; the angle made by those two sides is a right angle. Let ABC be a triangle, which is such that the square described...
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A Collection of Cambridge Mathematical Examination Papers: Papers in pure ...

John Martin Frederick Wright - Astronomy - 1833 - 332 pages
...described upon one of the sides of a triangle he equal to the sum of the squares described upon the otjier two sides of it ; the angle contained by these two sides is a right angle. . • / 9. One circumference of a circle cannot out another in more than two points. 10. The angles...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834 - 518 pages
...BA, AC. Therefore, in any right-angled triangle, &c. QED PROPOSITION XLVIII. EUCLID'S ELEMENTS. Iwo 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 ABC, be equal to the squares upon...
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