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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... "
The Elements of Euclid, containing the first six books, with a selection of ... - Seite 63
von Euclides - 1874
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 Seiten
...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 double of the square...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 Seiten
...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...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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Examination papers used at the examination of candidates for appointment to ...

War office - 1861 - 260 Seiten
...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 double of the square...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 Seiten
...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 Seiten
...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 - 1863 - 328 Seiten
...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 double of the square...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 Seiten
...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...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 Seiten
...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 double of the 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 - 1855 - 358 Seiten
...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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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 426 Seiten
...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...the straight line AB be divided into two equal parts at the point C, and into two unequal parts at the point D : the squares on AD, DB shall be together...
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