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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... "
The school edition. Euclid's Elements of geometry, the first six books, by R ... - Pagina 83
door Euclides - 1864
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - 128 pagina’s
...straight line 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...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 pagina’s
...be + (a — &)«=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...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 pagina’s
...section, is equal to the square of half the line. EUCLID S ELEMENTS. PROP. VI. THEOREM. If a straight line be bisected, and produced to any point ; the...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 ...

John Playfair - 1849 - 332 pagina’s
...difference of their squares * \ / £ / M. PROP. VI THEOR. If a straight line be bisected, andproducedto any point ; the rectangle contained by the whole line...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 pagina’s
...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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Minutes of the Committee of Council on Education, Volume 1

Great Britain. Committee on Education - 1850 - 790 pagina’s
...triangle, and have one of its angles equal to a given rectilineal angle. Section 2. 1. If a straight line be bisected and produced to any point, the rectangle...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 English Journal of Education, Volume 4

1850 - 488 pagina’s
...line intercepted without the triangle between the perpendicular and the obtuse angle. 2. If a right line be bisected, and produced to any point; the rectangle...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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Papers for the Schoolmaster, Volume 2

1852 - 316 pagina’s
...equal to the squares described upon the sides which contain the right angle. 11. If a straight line bo bisected and produced to any point ; the rectangle contained by the whole line thus produced, together with the square of half the line bisected, is equal to the square of the straight line which...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 pagina’s
...equal to the rectangle contained by their sum and difference.] BOOK n. PROP. VI. THEOR. If a straight line be bisected, and produced to any point: the rectangle...the part of it produced, together with the square of half the line bisected, is eqaul to the square of the straight line which is made up of the half...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pagina’s
...equal to the rectangle contained by theif sum and difference. PROP. VI. — THEOREM. If a. straight line be bisected, and produced to any point, the rectangle...the part of it produced, together with the square of half the line bisected, is equal to the square of tfie straight line which is made up of the half...
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