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" If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced and the part of it produced, together •with the square... "
A Text-book of Euclid's Elements for the Use of Schools, Books I.-IV. - Página 162
por Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 304 páginas
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845
...under the given line, and the whole line produced may equal the square of the part produced. 91- To produce a given straight line, so that the rectangle...contained by the whole line thus produced, and the part of it produced, shall be equal to a given square. 92. To determine a right-angled triangle whose hypothenuse...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 352 páginas
...hypotenuse and the other. PROP. VI. THEOR. — If a straight line be bisected, and be produced to any point; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of the straight...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846
...— &)«=a 2 ; or be + (c—a)> = a e . 62 Prop. Prop. HypProp. Prop. Cor. Prop. GEOMETRY. any point; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of the straight...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1846 - 317 páginas
...by the segments AG, GB is equal to the square upon the given straight line C. PROP. XXIX. PROB. To produce a given straight line, so that the rectangle contained by the segments between the extremities of the given line, and the points to which it is produced, may be...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...their sum and difference. PROP. VI. THEOR. If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced and the part of it produced, together with the square of half the line bisected, is equal to the square of the straight...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846
...be bisected, and produced to Prop. 33. Prop. 29. Hyp. Prop. 35. Prop. 37. Cor. Prop. 43. any point; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of the straight...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848
...line. EUCLID S ELEMENTS. PROP. VI. THEOREM. If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of the straight...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 108 páginas
...sides, of a triangle, above the less, being given, to construct the triangle. 34. To produce a given line, so that the rectangle contained by the whole line thus produced, and the part of it produc.ed, shall be equal to a given square. 35. From the obtuse angle of an obtuse-angled triangle,...
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Minutes of the Committee of Council on Education, Volumen1

Great Britain. Committee on Education - 1850
...a given rectilineal angle. Section 2. 1. If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of the straight...
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The English Journal of Education, Volumen4

1850
...the perpendicular and the obtuse angle. 2. If a right line be bisected, and produced to any point; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of the straight...
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