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" IF a straight line be divided into any two parts, the rectangles contained by the whole and each of the parts, are together equal to the square of the whole line. Let the straight line AB be divided... "
The Elements of Euclid; viz. the first six books, together with the eleventh ... - Side 38
av Euclides - 1834
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1847 - 317 sider
...the rectangle contained by the whole and that 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, ar.e equal to twice the rectangle AB.BC, together with the square of AC, or AB2+BC2...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848
...the several parts of the divided line. PROP. II. THEOREM. If a straight line be divided into any two parts, the rectangles contained by the whole and each...are together equal to the square of the whole line. PROP. III. THEOREM. If a straight line be divided into any two parts, the rectangle contained by the...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1849 - 317 sider
...c, and d; then, A(b-\-c+d)=Ab-{-Ac+Ad. PROP. II. THEOR. If a straight line be divided into any two parts, the rectangles contained by the whole and each,...line. Let the straight line AB be divided into any AQ TS two parts in the point C ; the rectangle AB.BC, — together with the rectangle AB.AC, is equal...
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Elements of Geometry and Conic Sections

Elias Loomis - 1849 - 226 sider
...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 - 108 sider
...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
...contained by those two sides is a right angle. Section 2. 1. If a right line be divided into any two parts, the rectangles contained by the whole and each...are together equal to the square of 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,...
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The English Journal of Education, Volum 4

1850
...contained by these two sides is a right angle. SECTION III. 1. If a straight line be divided into any two parts, the rectangles contained by the whole and each...are together equal to the square of the whole line. 3. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite...
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Annual Report of the Commissioners ...

1851
...of its angles equal to a given angle, 8. If a straight line be divided into any two parts, — 12 C the rectangles contained by the whole and each of...are together equal to the square of the whole line, ...'.. 4. Illustrate by a diagram the multiplication of 10 1 8 feet 5 inches by 4 feet 7 inches, and...
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The First Two Books of the Elements of Euclid ... with Additional Figures ...

Euclides - 1852
...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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The Elements of Euclid. Books I.-VI.; XI. 1-21 XII. 1-2. A New Text ..., Bok 1

Euclides - 1853
...into any two parts : then the rectangles contained by the whole line and each of the parts shall be together equal to the square of the whole line. Let...straight line AB "be divided into any two parts in c. Then the rectangle contained by AB, BC together with that contained by AB, AC shall be equal to...
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