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If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together double of the square on half the line and of the square on the line between the points of section. Let the straight line AB...
The Elements of Euclid, containing the first six books, with a selection of ... - Seite 63
von Euclides - 1874
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## First Steps in Geometry: A Series of Hints for the Solution of Geometrical ...

Richard Anthony Proctor - 1887 - 202 Seiten
...contained by the parts together with the square on the other part. Prop. 5 should be established thus : — Let the straight line AB be divided into two equal parts in C, and into two unequal parts in D ; then the rectangle AD, DB, together with the square on CD, shall...
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## Annual Report

Canada. Department of the Interior - 1888 - 756 Seiten
...hours. 1. If a straight line be divided into two equal and aUo into two unequal parts, the squares on the two unequal parts are together double of the square...square on the line between the points of section. 2. The angles in the same segment of a circle are equal to one another. 3. To describe an isosceles...
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## Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - 1889 - 356 Seiten
...straight line is divided into two equal parts, and also into two unequal parts, the squares on the unequal parts are together double of the square on half the line, and of the square on the part between the points of section. 6. The angles in the same segment of a circle are equal to one...
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## The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 Seiten
...bisected and produced to any point, the squares on the whole line thus produced and the part produced are together double of the square on half the line and of the square on the line made up of the half and the part produced. Let the straight line AB be bisected in C and produced to...
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## Rider Papers on Euclid (books I. and II.)

Rupert Deakin - 1891 - 102 Seiten
...bisected and produced to any point the squares on the whole line thus produced and the part produced are together double of the square on half the line and of the square on the line made up of the half and the part produced. 11. To divide a given straight line into two parts, so that...
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## Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1892 - 508 Seiten
...equivalent. 3. If a straight line be divided into two equal and into two unequal parts, the squares on the two unequal parts are together double of the square on half the line and the square on the line between the points of section. 4. If perpendiculars be drawn from any point...
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## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1892 - 460 Seiten
...the sum of the squares on the two unequal parts is twice the sum of the squares on half the line and on the line between the points of section. Let the straight line AB be divided equally at P, and unequally at Q : then shall the sum of the sqq. on AQ, QB be twice the sum of the...
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## Euclid's Elements of Geometry, Bücher 1-6

Henry Martyn Taylor - 1893 - 486 Seiten
...sum of the squares on the two unequal parts is double of the sum of the squares on half the line and on the line between the points of section*. Let the straight line AB be divided into two equal parts at the point C, and into two unequal parts at the point D : it is required to prove that the sum of...
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## Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1894 - 894 Seiten
...straight line is divided into two equal and also into two unequal parts ; show that the squares on the two unequal parts are together double of the square...square on the line between the points of section. A straight line is divided into two parts ; show that the less the difference between the parts, the...
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## Euclid's Elements of Geometry, Bücher 1-6;Bücher 11

Henry Martyn Taylor - 1895 - 708 Seiten
...sum of the squares on the two unequal parts is double of the sum of the squares on half the line and on the line between the points of section*. Let the straight line AB be divided into two equal parts at the point C, and into two unequal parts at the point D : it is required to prove that the sum of...
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