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If a straight line be divided into two equal parts, and also into two unequal parts; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line.
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Side 53
av Euclid, Robert Simson - 1821 - 516 sider
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Glasgow University Calendar

University of Glasgow - 1883
...of the triangle but shall contain a greater angle. 3. If a straight line be divided into two equal, and also into two unequal parts, the rectangle contained by the unequal parts together with the square on the line between the points of section, is equal to the square on half the line. 4. The angle at...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1883
...by the segments of the toe, is equal to the square on the perpendicular. PROPOSITION V. THEOREM. If a straight line be divided into two equal parts and also into two unequal parts, the rectanrjle contained by the unequal parts, together with the square on the line between the points...
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The Elements of Euclid: For the Use of Schools and Colleges; Comprising the ...

Euclid - 1883
...a square. are likewise squares. PROPOSITION 5. THEOREM. unequal parts, together with the square on the line between the points of section, is equal to the square on tuilf the line. Let the straight line AB be divided into two equal parts at the point C, and into...
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The Civil service year book and official calendar

1884
...angles; and the three interior angles of every triangle'are together equal to two right angles. 3. If a straight line be divided into two equal parts, and...section, is equal to the square of half the line. 4. A segment of a circle being given, describe the circle of which it is the segment. "5. On a base...
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The Practical Teacher, Volum 3

1884
...BF, and EC = AB = CF. Hence В is the middle point of DF, and С the middle point of EF. QEF 2. If a straight line be divided into two equal parts, and also into two unequal parts, together with the square on the line between the points of section, is equal to the square on half...
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884
...unequal parts ; the rectangle contained by tlte unequal parts, together with the square of the Une between the points of section, is equal to the square of half the line. Let AB be divided into two equal parts in the point C, and into two unequal parts in the point D :...
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Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ...

...intersect at right angles to one another. 5. If a straight line be divided into two equal and also two unequal parts, the rectangle contained by the unequal parts together with the square on the line between the points of section is equal to the square on half the line. If of the two unequal...
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Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term ...

...squares on one pair of opposite sides shall be equal to the sum of the squares on the other pair. 5. If a straight line be divided into two equal parts and...contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. 6. The opposite...
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University of Oxford. Examination of women. Examination papers

Oxford univ, local exams - 1885
...other, the base of that which has the greater angle shall be greater than the base of the other. 4. If a straight line be divided into two equal parts and...contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. 5. If a side of...
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Senate Documents, Otherwise Publ. as Public Documents and Executive ..., Volum 3

...RE, CD are produced until EF=Eli, and <;D=I>C, show that the line (.'/•' pa>-« through A. '¿. If a straight line be divided into two equal parts and...contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. Prove that the...
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