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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. Let the straight line AB be divided... "
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Page 48
by Robert Simson - 1762 - 466 pages
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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...contained by 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...
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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
...sides which contain the 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...contained by 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...
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Papers for the schoolmaster, Volumes 1-6

582 pages
...equal to one another, 2. If a straight line be divided into any two parts, the squares of the whol« line, and of one of the parts, are equal to twice...contained by the whole and that part, together with the square of the other part. 3. The angles in the same segment of a circle are equal to one another. 4....
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 pages
...straight line, &c. QED PROP. 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...contained by 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...
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The English Journal of Education, Volume 6

Education - 1852 - 512 pages
...rectilineal angle. SECTION 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...contained by 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....
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - Geometry - 1853 - 176 pages
...line, &c. QED PROPOSITION VII. — 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...contained by 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 ;...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...line, &c. QED PROPOSITION 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...contained by 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...
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Public Education: As Affected by the Minutes of the Committee of Privy ...

Sir James Kay-Shuttleworth - Church and education - 1853 - 554 pages
...sides which contain the 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...contained by the whole and that part, together with the square of the other part. Section 2. 1. If in a circle two straight lines cut one another, which do...
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