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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 elements of plane geometry, Volum 1

Mathematical association - 1884
...contained by AB and CE, AB and EF, AB and FD. QED 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. This follows...
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The Elements of Plane Geometry ...

Association for the improvement of geometrical teaching - 1884
...contained by AB and CE, AB and EF, AB and FD. QED vj 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. This follows...
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The Practical Teacher, Volum 4

1885
...learnt the proposition given to him in the form of—' If a straight line be divided into any two pans, four times the rectangle contained by the whole line...parts, together with the square on the other part, is equivalent to the square of the straight line, which is made up of the whole and that part,' because...
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University of Oxford. Examination of women. Examination papers

Oxford univ, local exams - 1885
...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. 44 SECOND EXAMINATION. PASS. 4. If two circles touch one another externally,...
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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
...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. Draw a straight line from a given point, either without or in the circumference,...
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Calendar of Dalhousie College and University

Dalhousie University - 1888
...side, these two straight lines shall be parallel. 3. If a straight line be diyided into any two parts, the rectangle contained by the whole line and one of the parts, is equal to the rectangle contained by the two parts, together with the square of the aforesaid part....
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 515 sider
...whole line thus produced and the part 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. Let AB be bisected at C and produced to D ; ACBD K 7TT M GV then rect....
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1890
...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. Demonstrate that case of Kuc. II. 13 where the perpendicular falls within...
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Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

Euclid - 1890 - 400 sider
...AB, BX — sq. on AB. 88 Proposition 3. THEOREM — If a straight line is divided into any two parts, the rectangle contained by the whole line and one of the parts is equal to the square on that part together with the rectangle contained by the two parts. XB DE Let...
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Sandhurst Mathematical Papers for Admission Into the Royal Military College ...

Royal Military College, Sandhurst - 1890 - 132 sider
...importance will be attached to accuracy I\ i. Divide a given straight line 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. If the straight line PQ is divided in R, so that PQ ....
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