| 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
...similar proof, 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...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.... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...called a 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...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.... | |
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