| Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...A straight line which cuts a circle is called a secant. PROPOSITION 16. THEOREM. The straight line **drawn at right angles to the diameter of a circle from the extremity of it** falls without the circle, and no straight line can be drawn from the extremity between that straight... | |
| Queensland. Department of Public Instruction - Education - 1897 - 446 pages
...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 of a circle, from the extremity of it,** falls without the circle ; and no straight line can be drawn from the extremity, between that straight... | |
| Ainsworth Rand Spofford, Charles Annandale - Encyclopedias and dictionaries - 1901 - 578 pages
...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
...Heiberg as being an undoubted addition of Theon's. It was Simson who added the further remark that " **it is evident that there can be but one straight line which touches the circle** at the same point." PROPOSITION i7. From a given point to draw a straight line touching a given circle.... | |
| Association of Ontario Land Surveyors - Surveying - 1909 - 254 pages
...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 of a circle from the extremity of it,** falls without the circle ; and no straight line can be drawn from the extremity, between that straight... | |
| Encyclopedias and dictionaries - 1918 - 582 pages
...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 HA in figure, which being continued at A, would merely touch and not cut the circle. In trigonometry... | |
| Thomas Edward Finegan - Encyclopedias and dictionaries - 1922 - 500 pages
...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 HA in figure, which being continued at A, would merely touch and not cut the circle. In trigonometry... | |
| James Clerk Maxwell - Science - 1990 - 836 pages
...See Figs. [3,24, 3,25]. (16) Book III, Prop. XVI of Euclid's Elements: (Theorem) 'The straight line **drawn at right angles to the diameter of a circle, from the extremity of it,** falls without the circle; and no straight line can be drawn between that straight line and the circumference... | |
| 1870 - 964 pages
...parallelograms are equal to one another. 2. When does a straight line touch a circle ? The straight line **drawn at right angles to the diameter of a circle from the extremity of it, touches the circle.** 3. If two triangles have one angle of the one equal to one angle of the other, and the sides about... | |
| Euclid - 452 pages
...Heiberg as being an undoubted addition of Theon's. It was Simson who added the further remark that " **it is evident that there can be but one straight line which touches the circle** at the same point." PROPOSITION 17. From a given point to draw a straight line touching a given circle.... | |
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