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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 Elements of Euclid [book 1] for beginners, by J. Lowres - Σελίδα 39
των Euclides - 1852
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...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 the square described upon...

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...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 described upon BC, one...

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...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. I .—-Every right angled...

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...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. If the square described upon...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

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...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 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...

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...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 described upon BC,...

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...calculations ; which calculations, however, depend on the principles of Geometry and Trigonometry. AHT. 132. " If the square described upon one side of a triangle be equal to the squares described on the other sides of the triangle, taken together, the angle opposite to thejirstmentioned side is...

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...perpendicular. PROP. 48. THEOR. If the square of one side of a triangle be equal to the sum of the squares of the other two sides, the angle opposite to that side is a right angle. From the vertex of this angle, raise a perpendicular to either of the sides containing it, and = to...

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...there will remain the complement EGDI ;— hence, these remaining complements are equal. ART. 182. If the square described upon one side of a triangle be equal to the squares described on the other sides of the triangle, taken together, the angle opposite to the first-mentioned side...




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