 | Harvey Goodwin - Mathematics - 1851 - 196 pages
...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... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...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... | |
 | Euclides - 1864 - 448 pages
...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... | |
 | Robert Potts - 1865 - 528 pages
...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... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...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,... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...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,... | |
 | Robert Potts - 1868 - 434 pages
...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... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...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... | |
 | Euclides, James Hamblin Smith - Geometry - 1876 - 376 pages
...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... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...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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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... 
