 | University of Oxford - Greek language - 1879 - 414 pages
...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.... | |
 | Euclides, James Hamblin Smith - 1879 - 376 pages
...described about a circle, when each side of the figure touches the circle. PROPOSITION XVI. THEOREM. The straight line drawn at right angles to the diameter of a drde,from the extremity of it, is a tangent to the circle. Let ABC be a ©, of which the centre is... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...Wherefore, 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 the circle at one point only, because if it did... | |
 | Education, Higher - 1881 - 504 pages
...rectangle contained by the whole and one of the parts shall be equal to the square on the other part. 6. 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. 7.... | |
 | Education, Higher - 1883 - 536 pages
...the aforesaid part. 10. Trisect (i) a right angle, (ii) a given straight line. 11. The straight lines drawn at right angles to the diameter of a circle...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. 12.... | |
 | Isaac Sharpless - Geometry - 1882 - 286 pages
...EH may be shown less than EK; that is, BC is nearer the centre than FG. Proposition 14. Theorem. — The straight line drawn at right angles to the diameter...extremity of it, falls without the, circle; and no other straight line can be drawn from the extremity of the diameter which does not cut the circle.... | |
 | Mary W I. Shilleto - 1882 - 418 pages
...students are advised not to confine themselves to one paper, but to make use of the whole set. (a) 1. The straight line drawn at right angles to the diameter of a circle, from the extremity of it, is a tangent to the circle. Two equal circles cut one another at the points AB ; BC is a chord equal... | |
 | Euclides, James Hamblin Smith - 1883 - 376 pages
...touches the circle. And the circle is said to be inscribed in the figure. PROPOSITION XVI. THEOREM. Tlie 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... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...Wherefore, the straight line &c. QBB 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 ; [ill. Def. 2. and that it touches the circle at one point only, because if it... | |
 | Woolwich roy. military acad - 1884 - 148 pages
...rectangle contained by the unequal parts is three-fourths of the square on half the line. 6. Prove that the straight line drawn at right angles to the diameter...from the extremity of it falls without the circle. '# If the centre of a circle be joined to the vertices of a circumscribing quadrilateral, then any... | |
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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... 
