 | 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.... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...tangent to the circle. A straight line which cuts a circle is called a secant. PROPOSITION 16. THEOREM. 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. (1)... | |
 | Queensland. Department of Public Instruction - Education - 1897 - 446 pages
...shall b« equal to a given rectilineal figure. 8 3. To describe a square about a given circle. 9 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.... | |
 | Eldred John Brooksmith - Mathematics - 1901 - 368 pages
...other sides BC, CD, DA by twice the rectangle CD, DA, show that the angle ACB is obtuse. 6. Prove that the straight line drawn at right angles to the diameter...the extremity of it, falls without the circle ; and that no straight line can be drawn from the extremity, between that straight line and the circumference,... | |
 | Ainsworth Rand Spofford, Charles Annandale - Encyclopedias and dictionaries - 1901 - 578 pages
...which touches or meets a circle or curve in one point, and which being produced does not cut it; a straight line drawn at right angles to the diameter of a circle, from the extremity of it, as n A in figure, which being continued at A, would merely touch and not cut the circle. In trigonometry... | |
 | Euclid - Mathematics, Greek - 1908 - 456 pages
...contained by the circumference CHA and the straight line AE. — PORISM. From this it is manifest that the straight line drawn at right angles to the diameter of a circle from its extremity touches the circle. 3 QED 4. cannot be interposed, literally "will not fall in between"... | |
 | Association of Ontario Land Surveyors - Surveying - 1909 - 254 pages
...right angle ; and the angle in a segment less than a semi-circle is greater than a right angle. 7. 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.... | |
 | David Eugene Smith - Geometry - 1911 - 360 pages
...to the circle. The enunciation of this proposition by Euclid is very interesting. It is as follows : The straight line drawn at right angles to the diameter of a circle at its extremity will fall outside the circle, and into the space between the straight line and the... | |
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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... 
