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" In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle. "
A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ... - Página 75
por Euclides - 1874
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 317 páginas
...right angles. PROP. XLVII. THEOR. ' In any right angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle. Let ABC be a right angled triangle having the right angle...
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The Freemason's Monitor: Containing a Delineation of the Fundamental ...

Z. A. Davis - 1843 - 312 páginas
...friend and b-other, * THEOREM.] — In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle. — Euclid, lib. i. prop. 47. the great Pythagoras, who,...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 352 páginas
...THEOR. — In any right-angled triangle, the square which is described upon the hypotenuse, that is, the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle. Let ABC be a right-angled triangle, having the right...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845
...angles. PROPOSITION XLVII. THEOREM. In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle. Let ABC be a right-angled triangle, having the right...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 199 páginas
...angles. PROPOSITION XL VII. THEOR. — In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle. Let ABC be a right-angled triangle having the right angle...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1846 - 317 páginas
...right angles. PROP. XLVII. THEOR. In any right angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle. Let ABC be a right angled triangle having the right angle...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...right angles. PROP. XLVII. THEOR. In any right-angled triangle, the square which is described upon the side subtending the right angle is equal to the squares described upon the sides which contain the right angle. Let ABC be a right-angled triangle having the right angle...
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The London University Calendar

London univ - 1846
....parallelogram are equal. 8. In any right-angled triangle, prove that the square which is described upon the side subtending the right angle is equal to the squares described upon the sides which contain the right angle. described upon the two sides are together equivalent...
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A Complete Treatise on Practical Land-surveying: In All Its Departments ...

Anthony Nesbit - 1847 - 426 páginas
...; the triangle ABC is equal to the triangle DBC. (Euc. I. 37. Simp. II. 2. Em. II. 10.) THEOREM VH. Let ABC be a right-angled triangle, having the right angle BAC; the square of the side BC is equal to the sum of the squares of the sides AB, A C. (Euc. I. 47. Simp. II. 8. Em....
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The First Book of Euclid's Elements, Simplified, Explained, and Illustrated ...

Euclides - 1847
...PROP. XLVII. THEOR. GEN. ENUN. — In any right.angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle. PART. ENUN. — Let ABC be a rt. Zd A, having the rt....
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