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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 Geometry: Containing the First Six Books of Euclid, with a ... - Pàgina 55
per Euclid, John Playfair - 1826 - 320 pàgines
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 pàgines
...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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Liber Cantabrigiensis: An Account of the Aids Afforded to Poor ..., Volum 2

Robert Potts - 1863 - 482 pàgines
...diameter, find the greatest length inside his scull which a bullet might traverse without killing him. 11. If a straight line be divided into two equal and also...of the two unequal parts are together double of the squares of half the line and of the square of the line between the points of section. Shew that 3 times...
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Responsions

University of Oxford - 1863 - 316 pàgines
...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 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...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pàgines
...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 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...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 pàgines
...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 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...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1866 - 336 pàgines
...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...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 of section. 6. If a straight...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pàgines
...together in. one straight line. Wherefore, if a straight lino, &c. QED PROPOSITION IX. THEOREM. lf 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...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

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

1865 - 128 pàgines
...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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Mathematical Questions and Solutions, Volum 3

1865 - 132 pàgines
...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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