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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. Let the straight line AB... "
Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ... - Page 92
by Robert Potts - 1876 - 403 pages
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 pages
...rectilineal angle. 2. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together...square on the line between the points of section. VOLUNTARY PORTION. 1. If the sides of two triangles, about each of their angles, be proportionals,...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 pages
...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...square on the line between the points of section. Given the straight line AB, divided at the point C into two equal, and at D into two unequal parts...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...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 the line, and of the square on the line between the points of section. Let the straight line...
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Examination papers used at the examination of candidates for appointment to ...

War office - 1861 - 260 pages
...equal each to each. 2. If a straight line be divided into two equal and also into two unequal parts, the squares on the two unequal parts are together...square on the line between the points of section. 3. If a straight line drawn through the centre of a circle cut at right angles a straight line which...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 pages
...section, is equal to the square of half the line. (References — Prop. i. 31, 34, 36, 43, 46; n. 4, Cor.) Let the straight line AB be divided into two equal parts in the point C, and into two unequal parts at the point D. Then the rectangle AD, DB, together with the square of CD, shall be equal to the square...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 pages
...straight line be divided into tico equal, and also into tiro unequal pijrts, the squares on the tiro unequal parts are together double of the square on half the line, and of the square on tht line between the points of section. equal parts in the point C, and into two unequal parts in the...
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Responsions

University of Oxford - Education, Higher - 1863 - 328 pages
...rectilineal angle. 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...square on the line between the points of section. 7. If two triangles have two sides of the one equal to two sides of the other, each to each, but the...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...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...between the points of section. Let the straight line AB\,Q divided into two equal parts in the point C, and into two unequal parts in the point D. Then...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...square on the straight line which is made up of the half and the part produced . . . . . . n. 6. 3. The squares on the two unequal parts are together...square on half the line, and of the square on the intermediate part ......... 1.9. 4. If a straight line be bisected and produced to any point, the square...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - Geometry - 1855 - 360 pages
...with the square of tAt line between the points of section, is equal to the square of half the line. Let the straight line AB be divided into two equal parts in the point C, and into two unequal pans in the point D ; the rectangle AD.DB, together with the square of CD, is equal to the square of...
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