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" AB is a diameter, and P any point in the circumference of a circle; AP and BP are joined and produced if necessary ; if from any point C of AB, a perpendicular be drawn to AB meeting AP and .BP in points D and E respectively, and the circumference of... "
The Principles of the Solution of the Senate-house 'riders,' Exemplified by ... - Seite 11
von Francis James Jameson - 1851 - 116 Seiten
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A Collection of Problems and Examples Adapted to the "Elementary Course of ...

Harvey Goodwin - 1851 - 196 Seiten
...inscribed in the smaller circle of the figure. 6. Find a third proportional to two given straight lines. AB is a diameter, and P any point in the circumference...and produced if necessary: if from any point C of AE a perpendicular be drawn to AB meeting AP and BP in points D and E respectively, and the circumference...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 380 Seiten
...which are perpendicular to each other, in such a manner, that the line itself may be trisected. 55. AB is a diameter, and P any point in the circumference of a circle; AP and SP are joined and produced if necessary ; if from any point C of AB, a perpendicular be drawn to AB...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 Seiten
...which are perpendicular to each other, in such a manner, that the line itself may be trisected. 55. AB is a diameter, and P any point in the circumference...in a point F, shew that CD is a third proportional of CE and CF. 56. If from the extremity of a diameter of a circle tangents be drawn, any other tangent...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 Seiten
...which. are perpendicular to each other, in such a manner, that the line itself may be trisected. 129. AB is a diameter, and P any point in the circumference...in a point F, shew that CD is a third proportional of CE and CF. 130. If from the extremity of a diameter of a circle tangents be drawn, any other tangent...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 426 Seiten
...bisected at one of the points at which the straight lino meets the middle circumference. VI. 1 to D. 579. AB is a diameter, and P any point in the circumference...circle; AP and BP are joined and produced if necessary; from any point C in AB a straight line is drawn at right angles to AB meeting AP at D and BP at E,...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 424 Seiten
...the perpendiculars, shew that LD, LE, LF are bisected by tho sides of tho triangle. VI. ItoD. 579. AB is a diameter, and P any point in the circumference...circle; AP and BP are joined and produced if necessary; from any point C in AB a straight line is drawn at right angles to AB meeting AP at D and BP at E,...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 Seiten
...which are perpendicular to each other, in such a manner, that the line itself may be trisected. * 55. AB is a diameter, and P any point in the circumference...in a point F, shew that CD is a third proportional of CE and CF. 56. If from the extremity of a diameter of a circle tangents be drawn, any other tangent...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 376 Seiten
...lines, drawn from a given point to a given plane, are equally inclined to the plane. 1850. vi. 10. AB is a diameter, and P any point in the circumference...shew that CD is a third proportional to CE and CF. 1851. vi. 3. If A, B, C be three points in a straight line, and D a point, at which AB and BC subtend...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1876 - 376 Seiten
...lines, drawn, from a given point to a given plane, are equally inclined to the plane. 1850. vi. 10. AB is a diameter, and P any point in the circumference...be drawn to AB, meeting AP and BP in points D and jB respectively, and the circumference of the circle in a point F, shew that CD is a third proportional...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 Seiten
...which are perpendicular to each other, in such a manner, that the line itself may be trisected. 55. AB is a diameter, and P any point in the circumference...joined and produced if necessary ; if from any point Cof AB, a perpendicular be drawn to AB meeting AP and BP m points D and E respectively, and the circumference...
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