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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... "
Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ... - Pàgina 44
per Euclid - 1845 - 199 pàgines
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1846 - 334 pàgines
...i(2a+6)+o2=(a+i)2. PROP. VII. THEOR. •• If a straight line be divided into two parts, the squares of the whole line, and of one of the parts, are equal...part, together with the square of the other part. L et the straight line AB be divided into any two parts in the point C ; the squares of AB, BC, are...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 pàgines
...the part produced. PROP. VII. THEOREM. If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal...part, together with the square of the other part. PROP. VIII. THEOREM. If a straight line be divided into any two parts, four times the rectangle contained...
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Report of the Committee of Council on Education (England and Wales ..., Edició 2

Great Britain. Council on Education - 1848 - 596 pàgines
...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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Minutes ...: Correspondence, Financial Statements, Etc., and ..., Volum 2

Great Britain. Committee on Education - 1848 - 606 pàgines
...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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Solutions to the questions of the general examination at Easter, 1848 ...

J. Goodall, W. Hammond - 1848 - 390 pàgines
...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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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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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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Minutes of the Committee of Council on Education, Volum 1

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

1851 - 268 pàgines
...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...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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Papers for the schoolmaster, Volums 1-6

582 pàgines
...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...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. Upon a given straight line-...
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