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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. "
The first and second books of Euclid explained to beginners, by C.P. Mason - Page 144
by Euclid, Charles Peter MASON - 1872
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The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856 - 168 pages
...of a 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 - 200 pages
...times that on one of the sides; compare the two sides. 4. 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. State this result...
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National Society's Monthly Paper

1857 - 408 pages
...the other two sides of it, the angle contained by these two sides is a right angle. 5. If a straight line be divided into two equal parts, and also into two unequal parts, the reptangle contained by the unequal parts, together with the square of the line between the points of...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 578 pages
...loses 18 per cent, on what the horse cost him ; what was the original cost? Euclid. 1. If a straight line be divided into two equal parts, and also into...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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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 pages
...to various operations connected with the extraction of the Square root. PROP. 9. — THEOR. If a st. line be divided into two equal parts, and also into two unequal parts, the squares of the two unequal parts are together double of the square of the half line and of the square...
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Skeleton propositions &c. of Euclid, books i and ii, with ..., Volume 2

Euclides - 1858 - 134 pages
...Лx. 1. Conc. l .'1'ЯP. AIij. ,f AriIh. Hyp. Л l,l. РВОР. IX. PROP. IX. TUEUR. //' a st. line be divided into two equal parts, and also into two unequal parts, the squares of the two unequal parts are together double of the square of the half line and of the square...
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Return to an Address of the Honourable the House of Commons, Dated 10 ...

Education - 1859 - 412 pages
...triangle. 8. Bisect a parallelogram by a line drawn through a given point within the figure. 9. If a line be divided into two equal parts and also into...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...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 pages
...income, 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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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 pages
...parallelograms about the diagonal of a square are likewise squares. PROPOSITION V. THEOREM. -;I| If a straight line be divided into two equal parts, and also into...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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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860 - 336 pages
...to a given triangle, and have one of its angles equal to a given rectilineal angle. 8. If a straight line be divided into two equal parts, and also into...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...
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