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" If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. "
A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ... - Page 90
by Euclides - 1874
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Report of the Committee of Council on Education (England and Wales ..., Issue 2

Great Britain. Council on Education - Education - 1848 - 596 pages
...parallels. Section 5. 1. If a right line be divided into any two parts, the squares of the whole line and one of the parts are equal to twice the rectangle contained by the whole line and that part, together with the square of the other part. •>. If two circles cut each other,...
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Solutions to the questions of the general examination at Easter, 1848 ...

J. Goodall, W. Hammond - 1848 - 390 pages
...parallels. Section 5. 1. If a right line be divided into any two parts, the squares of the whole line and one of the parts are equal to twice the rectangle contained by the whole line and that part, together with the square of the other part. 2. If two circles cut each other, they...
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Minutes ...: Correspondence, Financial Statements, Etc., and ..., Volume 2

Great Britain. Committee on Education - 1848 - 606 pages
...parallels. Section 5. 1. If a right line be divided into any two parls, the squr.res of the whole line and one of the parts are equal to twice the rectangle contained by the whole line and that part, together with the square of the other part. i. If two circles cut each other, they...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...PROP. VII. THEOR. If a straight line be divided into any two parts, the squares of the whole line, and one of the parts, are equal to twice the rectangle...the whole and that part, together with the square of the other part. Let the straight line AB be divided into any two parts in the point c; the squares...
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Minutes of the Committee of Council on Education, Volume 1

Great Britain. Committee on Education - School buildings - 1850 - 790 pages
...the whole line. 2. If a right line be divided into any two parte, the squares of the whole 1 ine and one of the parts, are equal to twice the rectangle contained by the whole and that part, together witli the square of the other part. 3. To describe a square that shall be equal to a given rectilineal...
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Papers for the Schoolmaster, Volume 1

1851 - 268 pages
...right angle. 3. If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle...the whole and that part, together with the square of the other part. SECTION II. 1. If in a circle two straight lines cut one another, which do not both...
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The English Journal of Education, Volume 6

Education - 1852 - 512 pages
...II. — 1. If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle...the whole and that part, together with the square of the other part. 2. To describe a square that shall be equal to a given rectilineal figure. 3. If...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 pages
...VII. THEOR. If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle...the whole and that part, together with the square of the other part. Let the straight line AB be divided into any two parts in the point C; the squares...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...VII. THEOR. If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle...the whole and that part, together with the square of the other part. Let the straight line AB be divided into any two parts in the point C ; the squares...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - Geometry - 1853 - 176 pages
...— THEOREM. If a straight Une be dvmded into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle...the whole and that part, together with the square of the other part. LET the straight line ab be divided into any two parts in the point С ; the squares...
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