 | Isaac Sharpless - Geometry - 1879 - 282 pages
...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...without the 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.... | |
 | 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... | |
 | 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... | |
 | E. J. Brooksmith - Mathematics - 1889 - 356 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 one... | |
 | New Brunswick. Board of Education - Education - 1889 - 1004 pages
...will omit the 1st and 3rd of the foregoing question», and work tie following Instead : n. Prove that the straight line drawn at right angles to the diameter of a circle, from the extremity of it, is a tangent to the circle. It. In a given circle inscribe a triangle, equiangular to a given triangle.... | |
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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... 
