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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 on the line between the points of section, is equal to the square on half the line. "
Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ... - Page 88
by Robert Potts - 1876 - 403 pages
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Skeleton propositions &c. of Euclid, books i and ii, with ..., Volume 2

Euclides - 1858 - 136 pages
...into ttco 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. CUN. 10. 1, Pst 1. 31. I. DEM. 43. I. Лх. 2 :il¡. I. Ax. 1. Def. 30. I. Cor. 4....
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 pages
...straight line be divided into two equal parts, aid also into two unequal parts, the rectangle containet by the unequal parts together with the square on the line between the points of section is equal to tie square on half the line. 4. The angles in the same segment of a circle are equaf to one another....
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Return to an Address of the Honourable the House of Commons, Dated 10 ...

Education - 1859 - 414 pages
...also into two unequal parts, the rectangle contained by the unequal paits, together with the square of the line between the points of section, is equal to the square of half the line. 10. Divide a straight line into two parts, so that the rectangle contained by the...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 pages
...THEOREM. -;I| 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 on half the line. Given the straight line AB, divided into two equal parts in the point C, and into two unequal parts...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...V. THEOREM. If a straight line be divided into two equal parts, and also into tteo unequal parts ; the rectangle contained by the unequal parts, together...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 into two equal parts in...
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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860 - 332 pages
...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. 9. Describe a square that shall be equal to a given rectilineal fignre. 10. What...
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Examination papers used at the examination of candidates for appointment to ...

War office - 1861 - 260 pages
...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. State and explain Euclid's corollary to this proposition. 3. The angles in the same...
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Guide to the army - competitive examinations

Alexander Hadden Hutchinson - 1861 - 128 pages
...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...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 pages
...5.— THEOREM. If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together...square on the line between the points of section, ^s equal to the square on half the line. (References— Prop. I. 31, 34, 36, 43, 46; II. 4, cor.) Hypothesis....
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 pages
...two unequal parts ; then 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. (References — Prop. i. 31, 34, 36, 43, 46; n. 4, Cor.) Let the straight line AB...
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