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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 ... - Side 48
av Robert Simson - 1762 - 466 sider
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The Competitor, Volumer 1-2

1882
...be divided into any two parts, the sum of the squares on the whole line, and on one of the parts, is equal to twice the rectangle contained by the whole and that part, together with the square on the other part. 7. Prove that equal chords of a circle are equally distant from the centre....
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The Practical Teacher; with which is Incorporated the Practical ..., Volum 2

Joseph Hughes - 1883
...ED. QED 2. If a straight line be divided into any two parts, the squires 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. Prop. 7, Bk. II. 3. In every triangle, the square on the side subtending...
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Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 96 sider
...straight line be divided into any two parts, the squares on the whole line and on one of the parts will be equal to twice the rectangle contained by the whole and that part, together with the square on the other part. Let AB be divided into any two parts at C. A ' D To prove AB2 + CB2 = 2 rect....
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Exercises on the geometry and measurement of plane figures, being solutions ...

Richard Wormell - 1883 - 192 sider
...divided into any two parts, the square on the whole line and one of the parts is equal to four times the rectangle contained by the whole and that part, together with the square on the other part. Let AB be a straight line divided into two parts in С.. Л С В D IIII...
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884
...is equal to the square of CD. VII. — 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 AB be divided into any two parts in C. Then the squares of AB, BC, are...
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Questions and exercises in elementary mathematics

Palaestra Oxoniensis - 1884
...only particular cases of Prop. I. 7. If a straight line is 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 : where is this proposition employed ? 8. Derive Prop. 8 from Props. 4 and...
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Yale Examination Papers

F. B. Stevens - 1884 - 175 sider
...rectilineal angle. 3. 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. (LEGEND KE.) 1. If two sides of a quadrilateral are equal and parallel, the...
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Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term ...

Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term,1885.Volume XIV - 1885
...acute-angled. ó. 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. Enunciate any other proposition of the second book in which this theorem...
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The Practical Teacher, Volum 4

1885
...Prop. 44. 2. 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 pan, together with the square on the other. Euclid, Book II.,Prop. 7. 3. To find a point at a given...
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Senate Documents, Otherwise Publ. as Public Documents and Executive ..., Volum 3

United States. Congress. Senate - 1880
...a straight line be divided into two parts, the squares of the whole line, and "f one of the parte, are equal to twice the rectangle contained by the whole and that I*"! together with the square of the other part. '• To draw a straight line from a given point, either...
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