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" If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on the other part. Let the straight line AB be divided... "
Elements of Geometry: Containing the First Six Books of Euclid with a ... - Pàgina 52
per John Playfair - 1856 - 318 pàgines
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pàgines
...equal (i. 5.) to the angle ABD, because BA is equal to AD, being aides of a square; wherefore the angle Let the straight line AB be divided into any two parts in c; the square of AB is equal to the squares of AC, CB, together with twice the rectangle contained...
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Elements of Geometry and Conic Sections

Elias Loomis - 1849 - 252 pàgines
...equivalent to the squares of the two parts, together with twice the rectangle contained by 'the parts. Let the straight line AB be divided into any two parts in C; the square on AB is equivalent to the squares on AC, CB, together with twice the rectangle contained...
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Minutes of the Committee of Council on Education, Volum 1

Great Britain. Committee on Education - 1850 - 790 pàgines
...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, Volum 1

1851 - 268 pàgines
...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 contained...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 pass through the...
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The English Journal of Education, Volum 6

1852 - 512 pàgines
...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 contained...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 pass through the...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 pàgines
...is equal to the squares of the two parts, together with twice the rectangle contained by the parts, Let the straight line AB be divided into any two parts in C; the square of AB is equal to the squares of AC, CB, and to twice the rectangle contained by AC,...
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Public Education: As Affected by the Minutes of the Committee of Privy ...

Sir James Kay-Shuttleworth - 1853 - 522 pàgines
...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 contained...part, together with the square of the other part. Section 2. 1. If in a circle two straight lines cut one another, which do not both pass through the...
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The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J ..., Llibre 1

Euclides - 1853 - 334 pàgines
...whole line and of one of the parts shall be, equal to twice the rectangle contained by the whole line and that part, together with the square of the other...the straight line AB be divided into any two parts AC, CB in c. Then the squares of AB, BC shall be equal to twice the rectangle contained by AB, BC together...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pàgines
...equal to the squares of the two parts, together with twice the rectangle contained by the parts. 3 Let the straight line AB be divided into any two parts in C; the square of AB is equal to the squares of AC, CB, together with twice the rectangle contained...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853 - 400 pàgines
...is equal to the squares of the two parts, together with twice the rectangle contained by the parts. Let the straight line AB be divided into any two parts in C ; the square of AB is equal to the squares of AC, CB, and to twice the rectangle contained by AC,...
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