| Euclid - Geometry - 1853 - 176 pages
...coincide, the circles must likewise coincide, since the straight lines from the centers are equal. 2. A TANGENT to a circle is a straight line which — meets the circumference, but being produced, does not cut the circle. 3. Circles are said to touch one another... | |
| Hugo Reid - Mathematics - 1872 - 148 pages
...circle is the part enclosed by two radii, and the arc joining their ends. CEA (or CAE) is a sector. 32. A TANGENT to a circle is a straight line which meets the circumference in only one point, all the rest of it being outside of the circle. It is said to touch... | |
| Euclid - Geometry - 1892 - 460 pages
...of a circle is a straight line of indefinite length, which cuts the circumference in two points. 10. A tangent to a circle is a straight line which meets the circumference, but being produced, docs not cut it. Such a line is said to touch the circle at a point;... | |
| Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...of a circle is a straight line of indefinite length, which cuts the circumference in two points. 5. A tangent to a circle is a straight line which meets the circumference, but being produced, does not cut it. Such a line is said to touch the circle at a point... | |
| Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...contact. The line itself is called a tangent to the circle. ELEMENTARY GEOMETRY [CHAP. II DEFINITION. A tangent to a circle is a straight line which meets the circle, but which when produced does not cut it. In consequence of this definition every point of a tangent to... | |
| Alfred Baker - Geometry - 1903 - 154 pages
...line drawn through the extremity of a diameter, and at right angles to it. The tangent is evidently a straight line which meets the circle, but does not cut it: this is sometimes given as the definition of a tangent. 3. Since a diameter bisects every chord to... | |
| Euclid - Euclid's Elements - 1904 - 488 pages
...of a circle is a straight line of indefinite length, which cuts the circumference in two points. 5. A tangent to a circle is a straight line which meets the circumference, but being produced, does not cut it. Such a line is said to touch the circle at a point... | |
| School of Railway Signaling (Utica, N.Y.) - Railroads - 1910 - 446 pages
...Fig. 80. 76. A sector is a part of a circle bounded by two radii and an arc, as (acda), Fig. 80. 77. A tangent to a circle is a straight line which meets the circumference but does not cut it on being prolonged, as (mn). The point of meeting (o) is called the... | |
| David Allan Low - Geometrical drawing - 1912 - 468 pages
...meant. Euclid, for example, states that " one circle cannot cut another at more than two points." " A tangent to a circle is a straight line which meets the circumference, but, being produced, does not cut it" (see also Art. 13, p. 12). 3. Angles. — " A... | |
| Roger Leslie Timings, A. J. C. May - Technology & Engineering - 1997 - 894 pages
...circumference is nd or 2nr The area is nd2/4 or nr2. An arc of a circle is part of the circumference. A tangent to a circle is a straight line which meets the circle at one point only. A radius drawn from the point where a tangent meets a circle is at right angles... | |
| |