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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... "
Euclid's Elements of Geometry - Page 144
edited by - 1893 - 504 pages
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...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 and...part produced. Let the straight line AB be bisected in C, and produced to the point D ; the rectangle AD.DB together with the square of CB, is equal to...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 pages
...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 and the part produced. PROP. VII. THEOREM. If a straight line be divided into any two parts, the squares of the whole line,...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...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 and...part produced. Let the straight line AB be bisected in c, and produced to the point D ; the rectangle AD, DB, together with the square of CB, is equal...
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The English Journal of Education, Volume 4

Education - 1850 - 488 pages
...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 and the part produced. SECTION IV. 1. If two circles cut each other they shall not have the same centre. '2. In equal circles,...
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Minutes of the Committee of Council on Education, Volume 1

Great Britain. Committee on Education - School buildings - 1850 - 790 pages
...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, and the part produced. 2. If a point be taken within a circle from which there tall more than two straight lines to the circumference,...
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Papers for the Schoolmaster, Volume 2

1852 - 316 pages
...whole line thus 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 and the part produced. ANSWERS TO THE EXAMINATION PAPER ON SCHOOL MANAGEMENT* (CONTINUED FROM NO. XVIII.) II. DISCIPLINE....
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 pages
...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 and...part produced. Let the straight line AB be bisected in C, and produced to the point D; the rectangle AD, DB, together with the square of CB, is equal to...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...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 and...part produced. Let the straight line AB be bisected in C, and produced to the point D ; the rectangle AD, DB, together with the square of CB, is equal...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...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 and the...part produced. Let the straight line AB be bisected in C, and produced to the point D; the rectangle AD, DB, together with the square of CB, is equal to...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - Geometry - 1853 - 176 pages
...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 and the part produced. LET the straight line ab he bisected in ะก, and produced to the point d > the rectangle ad, db, together with the square of...
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