| Euclides, James Hamblin Smith - 1883
...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 - 1883 - 400 sider
...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
...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 - 1889
...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 - 1889
...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 - 515 sider
...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 - 1897
...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 - 1901
...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,... | |
| 1901
...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 - 1908
...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"... | |
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