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" THE straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle... "
A Popular Course of Pure and Mixed Mathematics ...: With Tables of ... - Σελίδα 209
των Peter Nicholson - 1825 - 372 σελίδες
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 376 σελίδες
...touches the circle. And the circle is said to be inscribed in the figure. PROPOSITION XVI. THEOREM. The straight line drawn at right angles to the diameter of a circle, from the extremity of it, is a tangent to the circle. Let ABC be a ©, of which the centre is O, and the diameter A OB. Through...

Elements of geometry, containing the first two (third and fourth ..., Μέρος 2

Euclides - 1872 - 102 σελίδες
...touches the circle; and the circle is said to be inscribed in the figure. PROPOSITION XVI. THEOREM. The straight line drawn at right angles to the diameter of a circle, from tJie extremity qf it, is a tangent to the circle. Let ABC be a ©, of which the centre is O, and the...

The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873 - 588 σελίδες
...as not to cut the circle. COROLLARY. — Prom this it is manifest, that the straight line which is drawn at right angles to the diameter of a circle from the extremity of it, touches the circle ; and that it touches the circle at one point only, because if it met the circle...

Pure mathematics, Τόμος 1

Edward Atkins - 1874 - 426 σελίδες
...5). Therefore, the diameter, <fec. QED Proposition 16. — Theorem. The straight line drawn at riyht angles to the diameter of a circle, from the extremity of it, falls without the circle; and a straight line, making an acute angle with the diameter at its extremity, cuts the circle. Let ABC...

Pure mathematics, Τόμος 1

Edward Atkins - 1874 - 428 σελίδες
...the straight line, &c. QED COROLLARY. — From this it is manifest that the straight line which is drawn at right angles to the diameter of a circle, from the extremity of it, touches the circle (III. Def. 2) ; and that it touches it only in one point, because if it did meet...

The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 σελίδες
...straight line and the perpendicular AE. QED Cor. From this it is manifest, that the straight line which is drawn at right angles to the diameter of a circle from the extremity of it, touches the circle (III. Def. 2) ; and that it touches it only in one point, because, if it did meet...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 σελίδες
...straight line and the perpendicular AE. QEp COR. From this it is manifest, that the straight line which is drawn at right angles to the diameter of a circle from the extremity of it touches the circle ; (in. def. 2.) and that it touches it only in one point, because, if it did meet...

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

Edward Atkins - 1876 - 130 σελίδες
...the straight line, <tc. QED COROLLARY. — From this it is manifest that the straight line which is drawn at right angles to the diameter of a circle, from the extremity of it, touches the circle (III. Def. 2) ; and that it touches it only in one point, because if it did meet...

First Public Examination in Literis Graecis Et Latinis

University of Oxford - 1879 - 414 σελίδες
...the rectangle contained by the whole and that part, together with the square on the other part. 4. The straight line drawn at right angles to the diameter...without the circle ; and no straight line can be drawn from the extremity, between that straight line and the circumference, so as not to cut the circle....

The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1879 - 282 σελίδες
...may be shown less than EK; that is, BO is nearer the centre than FG. Proposition 14. Theorem.—The straight line drawn at right angles to the diameter...circle; and no straight line can be drawn between it and the circumference from the extremity of the diameter which does not cut the circle. Let ABC...




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