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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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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 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...point C, and into two unequal parts in the point D ; The squares on AD and DB shall be together double of AD2+DB* the squares on AC and CD. CDa[AC8f CONSTRUCTION....
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Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876 - 268 Seiten
...145 9. If a straight line be divided îmo 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. . . . . . . . . . . . . . . --156 lo. If a straight line be bisected, and produced to any point, the...
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Examination Christmas,1875

Education Department,London - 1876 - 1010 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...the line and of the square on the line between the pointe of section. 3. The diagonals of a rhombus bisect each other at right angles. ALGEBRA. SECTION...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1876 - 376 Seiten
...two equal, and also into two unequal parts, the squares on the two unequal parts are together doable of the square on half the line and of the square on the line between the points of section. Let AB be divided equally in C and unequally in D. Then must sum of sqq. on AD, DB— twice sum of sqq....
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1876 - 382 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 on half the line and of tht square on the line between the points of section. Let AB be divided equally in C and unequally...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 Seiten
...equilateral. 7. 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 ithe line and of the square on the line between the points of section. 8. Divide a straight line into...
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876 - 784 Seiten
...line. 3. If a straight line bo 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 tho line, and of the square on the lino between tho points of section. Aljcbra. — 1. Divide a—lx...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879 - 146 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...on the line between the points of section. Let the st. line AB be divided into two equal parts at C, and into two unequal parts at D. Then the sqs. on...
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First Public Examination in Literis Graecis Et Latinis

University of Oxford - 1879 - 412 Seiten
...opposite. 3. 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. 5. If one side of a triangle be produced, the exterior angle shall be greater than either of the interior...
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A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - 1879 - 44 Seiten
...part. . . 9. If a straight line be divided into two equal and also 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. Same proposition. Divide a straight line into two parts so that the sum of their squares may be the...
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