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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 collected by A. Clark as a student and as an examiner

1867 - 224 Seiten
...third. 5. 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. 6. If a straight line fall on two parallel straight lines, it makes the alternate angles equal to one...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 424 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 the squareon the line between thepoints of section. Let the straight line AB be divided into two equal...
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Examination for women. Examination papers, with lists of syndics and examiners

Cambridge univ, exam. papers - 1870 - 272 Seiten
...parallelogram. 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. The square on half the line together with the square on the line between the points of section and...
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Elements of geometry, containing the first two (third and fourth ..., Teil 1

Euclides - 1871 - 136 Seiten
...also into two unequal parts, the squares on the two unequal parts are together double of the square an 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 ofsqq. on AD, DB- twice sum ofsqq. on...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 376 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. Let AB be divided equally in C7and unequally in D. Then must sum ofsqq. on AD, DB = twice sum ofsqq. on...
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Pure mathematics, Band 1

Edward Atkins - 1874 - 426 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 AD»+DB» the squares on AC and CD. CONSTRUCTION....
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A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ...

Euclides - 1874 - 120 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. j Let the straight line AB be divided into two ' • equal parts at the point C, and into two unequal...
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Recent Military, Naval, and Civil Service Examination Papers in Mathematics ...

Braithwaite Arnett - 1874 - 130 Seiten
...line. 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. 4. If a straight line touch a circle, and from the point of contact a straight line be drawn at right...
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Pure mathematics, Band 1

Edward Atkins - 1874 - 428 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 the square on tlie line between the points of section. Let the straight line AB be divided into two equal parts in...
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Elements of Euclid Adapted to Modern Methods in Geometry

Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - 236 Seiten
...with the square on the part between the points of section, is equal to the square on half the line. Let the straight line AB be divided into two equal parts in C, and into two unequal pai.ts in D; it is required to prove that the rectangle contained by the two...
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