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" If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced and the part of it produced, together with the square of... "
The first six books of the Elements of Euclid, with numerous exercises - Seite 38
von Euclides - 1853 - 147 Seiten
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1876 - 349 Seiten
...the part of it produced, together with the square on half the line bisected, M equal to the square on the straight line which is made up of the half and the part produced. At Let the st. line AB be bisected in C and produced to D. Then must rect. AD, DB together with sq....
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Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876
...pnrt of it produced, together with the square oo half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced. . . . . . . .' . . . . . . . . 145 s. If a straight line be divided into any two parts, four times...
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Examination Christmas,1875

Education Department,London - 1876
...part of it produced, together •»ith the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced. Male Candidates—First Year. 19 2. In every triangle, the square on the side subtending an acute angle...
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876
...candidates. 1. If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced, and the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 403 Seiten
...THEOREM. ff a straight line be bisected, and produced to any point; the reetangls contained by the whole line thus produced, and the part of it produced, together with the square on half the line bisected, it equal to the square on the. straight line uhich it made up of the half...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 119 Seiten
...Theorem. If a straight line be bisected, and produced to any point, the rectangle contained by the whole line thus produced and the part of it produced, together with the square on half the line bisected, is equal to the, square on the straight line which is made up cftiie half...
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Mathematical Exercises ...: Examples in Pure Mathematics, Statics, Dynamics ...

Samuel H. Winter - 1877 - 413 Seiten
...and the part produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced. 5. The angle at the centre of a circle is double of the angle at the circumference on the same base...
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Solutions to the mathematical examination papers set for admission to the ...

D. Tierney - 1877
...found. 4. If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced and the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half...
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Pupil teachers' examination work, by W.P. Warburton, F. [or rather, J.] P ...

William Parsons Warburton - 1878
...(1.) If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced, and the part of it produced, together...of half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced. ANSWER. — Enunciation. (\.)...
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Elements of Geometry: Containing Books 1. to Vi. and Portions of Books Xi ...

Euclides, James Hamblin Smith - 1879 - 349 Seiten
...part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced. £ Let the st. line AB be bisected in C and produced to D. Then must rect. AD, DB together with sq. on CB=sq....
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