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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 Elements of Euclid for the Use of Schools and Colleges: Comprising the ... - Page 57
by Euclid, Isaac Todhunter - 1867 - 400 pages
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...divided tnto two eqttal parts, and aha into two unequal parts ; the rectangle contained by the uneqital parts, together with, the square on the line between...the straight line AB be divided into two equal parts in the point C, and into two unequal parts in the point D. Then the rectangle AD, DB, together with...
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Papers for the schoolmaster, Volume 4

1868 - 344 pages
...into two unequal parts, the rectal gle 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 also algebraically. rrove uu In any right angled triangle, the square...
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Examination for women. Examination papers, with lists of syndics and examiners

Cambridge univ, exam. papers - 1870 - 272 pages
...half the line and of the square on the line between the points of section. The square on half the line together with the square on the line between the points of section and the rectangle contained by the parts is equal to half the square on the line. 3. In equal circles,...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1870 - 270 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. CON.— 46. I., Pst. 1, and 31. I. DEM. — 43. I. The complements of the parallelograms...
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The National Schoolmaster, Volumes 7-8

Schools - 1877 - 604 pages
...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...section, is equal to the square on half the line. Algebra. a'ly'z - at'yz* x- + •tx + 2 i. Reduce to lowest terms - , . „ — and — . — ~ —...
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Elements of geometry, containing the first two (third and fourth ..., Part 1

Euclides - 1871 - 136 pages
...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...section, is equal to the square on half the line. JD K. S. Let the st. Hue AB be divided equally in C and unequally inZ>. Then must rect. AD, DB together...
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Handbook to government situations: or, The queen's Civil service considered ...

Civil service - 1871 - 264 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. 5. Draw a straight line to touch a given circle from a given point without it. Algebra....
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The Edinburgh university calendar

Edinburgh univ - 1871 - 392 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. Prove this also algebraically. 3. Prove Prop. 47, introducing in addition a variation...
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The first and second books of Euclid explained to beginners, by C.P. Mason

Euclid, Charles Peter Mason - Geometry - 1872 - 216 pages
...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...section, is equal to the square on half the line. For the construction employed we must be able — 1. On a given straight line to describe a square....
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...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 lection, is equal to the square on half the line. Let the st. line AB be divided equally in C and unequally...
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