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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... "
The synoptical Euclid; being the first four books of Euclid's Elements of ... - Page 52
by Euclides - 1853
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 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...straight line AB be bisected in C, and produced to D : the rectangle AD, DB, together with the square of CB, shall be equal to the square of CD. Upon...
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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
...produced, are together double of the square of half the line bisected, and of the square of the line made up of the half and the part produced. Let the...be bisected in c, and produced to the point D; the squares of AD, DB are double of the squares of AC, CD. From the point c draw (i. 11.) CE at right angles...
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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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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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Papers for the Schoolmaster, Volume 2

1852 - 316 pages
...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
...produced, are together double of the square of half the line bisected, and of the square of the line made up of the half and the part produced. Let the...be bisected in C, and produced to the point D ; the squares of AD, DB are double of the squares of AC, CD. • xi. i. From the point C draw a CE at right...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...produced, are together double of the square of half the line bisected, and of the square of the line made up of the half and the part produced. Let the...be bisected in C, and produced to the point D : the squares of AD, DB are double of the squares of AC, CD. From the point C draw (11. i.) CE at right angles...
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The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose, Book 1

Euclides - Geometry - 1853 - 334 pages
...it produced, together with the square of half the bisected line, shall be equal to the square of the line, which is made up of the half and the part produced....straight line AB be bisected in c and produced to D. Then the rectangle AD, DB together with the square of CB shall be equal to the square of CD. On...
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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 С, and produced to the point d > the rectangle ad, db, together with the square of...
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