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" If a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that... "
The Elements of Euclid for the Use of Schools and Colleges: Comprising the ... - Side 60
av Euclid, Isaac Todhunter - 1883 - 400 sider
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The Competitor, Volumer 1-2

1882
...twice the rectangle contained by the two parts. 5. Divide a given straight lite into two parts so that the rectangle contained by the whole line and one of the parts may be equal to the square on the other part. Divide a given ttraight line into two parts so that the...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1883
...B and from to D, shew that BGD is a straight line. PROPOSITION VIII. THEOREM. If a straight line be divided into any two parts, four times the rectangle...on the straight line which is made up of the whole ami the first part. Let the st. line AB be divided into any two parts in C. Produce AB to D, so that...
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The Practical Teacher; with which is Incorporated the Practical ..., Volum 2

Joseph Hughes - 1883
...line thus produced, and the part of it produced, together with the square on half the line bisec'el, is equal to the square on the straight line which is made up of the half and the part produced. Prop. 6, Bk. II. Algebra. MALES. Answer tu'O questions, including No. 2,...
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The Practical Teacher, Volum 2

1883
...line thus produced, and the part of it produced, together with the square on half the line bisect e3, is equal to the square on the straight line which is made up of the half and the part produced. Prop. 6, Bk. II. Algebra. MALES. Answer two guettions, including JVo. 2,...
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Syllabus of plane geometry, books 1-3, corresponding to Euclid, books 1-4 ...

Mathematical association - 1883
...several parts into which the other is divided. COR. 1. If a straight line is divided into two parts, the rectangle contained by the whole line and one of the parts is equal to the sum of the square on that part and the rectangle contained by the two parts. COR. 2....
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Glasgow University Calendar

University of Glasgow - 1883
...action. HIGHER MATHEMATICS. Uth Oc'ober, 1882. 1. Divide a given straight lino into two parts, such that the rectangle contained by the whole line and one of the parts shall be equal to the square on the other part. Where does Euclid afterwards make use of this proposition...
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Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 96 sider
...(ie, AB2) = AB . AC + AB . CB. QED PROP. 3. THEOR. If a straight line be divided into any two parts, the rectangle contained by the whole line and one of the parts will be equal to the square on that part together with the rectangle contained by the two parts. Let...
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884
...equal to twice the rectangle AB, BC, together with the square of AC. VIII. — If a straight line be divided into any two parts four times the rectangle...line, and one of the parts, together with the square of the other part, is equal to the square of the straight line, which is made up of the whole and that...
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Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ...

Woolwich roy. military acad - 1884
...line thus produced, and the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced. 5. If a straight line drawn through the centre of a circle, cut a straight...
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Yale Examination Papers

F. B. Stevens - 1884 - 175 sider
...line thus produced, and the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced. 3. The diagonals of a parallelogram bisect each other. 4. To construct...
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