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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 for beginners, books i. and ii., with simple exercises by F.B. Harvey - Page 88
by Euclides, Frederick Burn Harvey - 1880 - 119 pages
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The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856 - 168 pages
...square are likewise squares. L. — EUCLID II. 5. 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 of the line between the points of section, is equal to the square of half the line. Let the straight...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 252 pages
...angle. Is this a determinate problem? 6. 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. Prove this proposition...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 200 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 this result algebraically. 5. Draw a straight line from a given point, either...
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National Society's Monthly Paper

1857 - 408 pages
...also into two unequal parts, the reptangle 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. 6. To describe a square that shall be equal to a given rectilineal figure. 7. If...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 pages
...operation is completed. PROP. 5. — THEOB. If a st. 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 te the square of half the line. CON. ^46. I., Put....
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 578 pages
...what was the original cost? Euclid. 1. 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. 2. Equal straight...
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Skeleton propositions &c. of Euclid, books i and ii, with ..., Volume 2

Euclides - 1858 - 136 pages
...IV. HOOK II. 89 PüOP. V. THEOB. If a st. line be divided into two equal parts, and also 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...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 pages
...and what the expenditure of each. Euclid. 1. 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 of the line between the points of section, is equal to the square of half the line. 2. Describe a square...
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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
...squares. PROPOSITION V. THEOREM. -;I| If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by...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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