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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.
Elements of Geometry: Containing the First Six Books of Euclid with a ... - Página 51
por John Playfair - 1855 - 318 páginas
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## The examination papers as set for the preliminary literary examination of ...

...rectilineal angle. 8. If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together...section, is equal to the square of half the line. 9. Describe a square that shall be equal to a given rectilineal fignre. 10. What does Euclid mean by...
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## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 361 páginas
...parts, together with the square on the line between the points of section, it equal to the square on half the line, Let the straight line AB be divided...point C, and into two unequal parts in the point D. Then the rectangle AD, DB, together with the square on CD, shall be equal to the square on CB. ACDB...
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## Elements of Geometry, and Plane and Spherical Trigonometry: With Numerous ...

Horatio Nelson Robinson - 1860 - 453 páginas
...be divided into two equal parts, and also into two unequal parts, the rectangle contained by the two unequal parts together with the square of the line between the points of division, will be equivalent to the square on one half the line. Let AB be a line bisected in C, and...
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## Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...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. Given the straight line AB, divided into two equal parts in the point C, and into...
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## Examination papers used at the examination of candidates for appointment to ...

War office - 1861
...equal to one another. 2. If a straight line be divided into two equal and also into two unequal parts, the rectangle contained by the unequal parts together...of section is equal to the square of half the line. State and explain Euclid's corollary to this proposition. 3. The angles in the same segment of a circle...
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## Guide to the army - competitive examinations

...also into two unequal parts, the rectangle contained by the unequal parts together with the square cf the line between the points of section is equal to the square of half the line. VOLUNTARY PORTION. 1. In a right angled triangle if a perpendicular be drawn from the right angle to...
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## The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862
...THEOREM. //' a straight line be divided into two equal parts, and also into two unequal parts ; then the rectangle contained by the unequal parts, together...section, is equal to the square of half the line. (References — Prop. i. 31, 34, 36, 43, 46; n. 4, Cor.) Let the straight line AB be divided into two...
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## Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862
...double of the square on half the line, and of the square on tht line between the points of section. equal parts in the point C, and into two unequal parts in the point D. Sequence. — The squares on AD and DB, shall be together double of the squares on AC and CD. Construction....
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## Report on the examination for admission to the Royal military academy at ...

1864
...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. Hence show that a square is the greatest rectangle of given perimeter. 11. Describe...
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## The school edition. Euclid's Elements of geometry, the first six books, by R ...

Robert Potts - 1864
...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. Let the straight line AB be divided into two equal parts in the point C, and into...
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