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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... "
A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ... - Side 89
av Euclides - 1874
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 sider
...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,...the part of it produced, together with the square of half the line bisected, is equivalent to the square of the straight line which is made up of the...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 332 sider
...difference of their squares PROP. VI THEOR. If a straight line be bisected, and producedto any point ; the rectangle contained by the whole line thus produced,...the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclides, James Thomson - 1845 - 382 sider
...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,...the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 sider
...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 may be...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - 128 sider
...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,...the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1846 - 334 sider
.../ it M r"3> ' '•• * PROP. VI THEOR. Ifastraightlinebe bisected, and produced to any point ; the rectangle contained by the whole line thus produced,...the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - 128 sider
...&)«=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,...the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 sider
...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...the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 sider
...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,...the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 sider
...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, to draw a...
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