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" If a straight line be divided into two equal, and also into two unequal parts, 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. "
Elements of Euclid Adapted to Modern Methods in Geometry - Page 87
by Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - 216 pages
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pages
...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 two...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
...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 - 336 pages
...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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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...the diameters of the squares on its two sides. 17. 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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Mathematical Questions and Solutions, Volume 3

Mathematics - 1865 - 132 pages
...geometrically, in the following form, which is analogous to that of Euclid II. 5. If a circular arc be divided into two equal and also into two unequal parts, the rectangle contained by the chords of the two unequal arcs, together with the square on the chord of...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...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 •quare of half the line, and...
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Mathematical Questions and Solutions, from the "Educational Times.", Volume 3

1865 - 128 pages
...geometrically, in the following form, which is analogous to that of Euclid II. 5. If a circular arc be divided into two equal and also into two unequal parts, the rectangle contained by the chords of the two unequal arcs, together with the square on the chord of...
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Examination papers collected by A. Clark as a student and as an examiner

1867 - 224 pages
...given straight lines, but any two whatever of these must be greater than the third. 5. If a straight line be divided into two equal, and also into two...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 Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...of AB and BC together. Wherefore, if a straight line &c. QED PROPOSITION 9. THEOREM. If a straight line be divided into two equal, and also into two...unequal parts, the squares on the two unequal parts are t 'gather double of the square on half the line and of the square on the line between the points of...
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