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" IF a straight line be divided into two equal, and also into two unequal parts ; the squares of the two unequal parts are together double of the square of half the line, and of the square of the line between the points of section. "
The first and second books of Euclid explained to beginners, by C.P. Mason - Page 152
by Euclid, Charles Peter MASON - 1872
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A complete practical guide to her majesty's Civil service, by a certificated ...

Civil service - 366 pages
...equal to the squares of the two parts, together with twice the rectangle contained by the parts. PROP. IX. — If a straight line be divided into two equal, and also into two nnequal parts ; the squares of the two unequal parts are together double of the square of half the...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...added together in one straight line. Wherefore, if a straight line, &c, QED PROPOSITION IX. THEOREM. If a straight line be divided into two equal, and also into lmi unequal parts ; the squares on the two unequal parts are together double of the square half...
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Guide to the army - competitive examinations

Alexander Hadden Hutchinson - 1861 - 128 pages
...the right angle is equal to the squares described upon the sides which contain the right angle. 2. 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 cf the line between the points of...
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Examination papers used at the examination of candidates for appointment to ...

War office - 1861 - 260 pages
...II. 1. Parallelograms upon the same base and between the same parallels are 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 with the square of the line between the points of...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 pages
...BC added together In one straight line. Wherefore, if a straight line, &c. QED PROP. IX.— THEOREM. If a straight line be divided into two equal and also into two unequal parts; then the squares of the two unequal parts are together double of the square of half the line, and of...
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Responsions

University of Oxford - Education, Higher - 1863 - 328 pages
...Bisect a given rectilineal angle. 5. Shew that two straight lines cannot have a common segment. 6. If a straight line be divided into two equal, and...the squares on the two unequal parts are together double of the square on half the line and of the square on the line between the points of section....
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pages
...added together in one straight line. Wherefore, if a straight line, &c, QED PROPOSITION IX. THEOREM. If a straight line be divided into two equal, and...unequal parts ; the squares on the two unequal parts are torJether double of the square on half the line, and of the square on the line between the points of...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 pages
...the diameters of the squares on its two sides. 15. If a straight line be divided into two equal and into two unequal parts, the squares on the two unequal parts are equal to twice the rectangle contained by the two unequal parts, together with four times the square...
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Report on Education in the Parochial Schools of the Counties of Aberdeen ...

Simon Somerville Laurie - Dick bequest for elevating the character and position of the parochial schools and schoolmasters in the counties of Aberdeen, Banff and Moray - 1865 - 432 pages
...described upon the other two sides of it, the angle contained by these two sides is a right angle. 3. If a straight line be divided into two equal and also into two unequal parts ; the squares of the two unequal parts are together double of the square of half the line, and of the square of the...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1866 - 332 pages
...angle. 4. Find a point in a straight line which shall be equally distant from two given points. 5. If a straight line be divided into two equal, and also into two unequal parts, the squares of the two unequal parts are equal to double the squares of the half, and of the line between the points...
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