| Euclides - 1845 - 546 páginas
...equal to the square of OP. 124. This Theorem is only a different form of stating Theorem 119, p. 301. The consideration of it may be deferred, as it properly...the circumference of another, is a curve called the Hypocyclaid; but to this there is one exception, in which the radius of one of the circles is double... | |
| Euclides - 1864 - 448 páginas
...larger circle draw perpendiculars on the sides of the right-angled triangle inscribed within it. 79. In general, the locus of a point in the circumference...straight line, as may be easily shewn from the figure. 80. Let A, B be the centers of the circles. Draw AB cutting the circumferences in C, D. On AB take... | |
| Euclides - 1864 - 262 páginas
...larger circle draw perpendiculars on the sides of the right-angled triangle inscribed within it. 79. In general, the locus of a point in the circumference...double that of the other : in this case, the locus i» a straight line, as may be easily shewn from the figure. 80. Let A, B be the centers of the circles.... | |
| Robert Potts - 1868 - 434 páginas
...larger circle draw perpendiculars on the sides of the right-angled triangle inscribed within it. 79. In general, the locus of a point in the circumference...straight line, as may be easily shewn from the figure. 80. Let A, B be the centers of the circles. Draw AB cutting the circumferences in C, D. On AB take... | |
| Edward Olney - 1870 - 100 páginas
...upon its tangent, the aris of both loci being coincident. THE CYCLOID. 92. DEF. — The Cycloid is the locus of a point in the circumference of a circle which rolls along a fixed right line. SCH. — The cycloid can be constructed mechanically by rolling a wheel,... | |
| Robert Potts - 1876 - 446 páginas
...larger circle draw perpendiculars on the sides of the right-angled triangle inscribed within it. 79. In general, the locus of a point in the circumference...the circumference of another, is a curve called the Hypocycloia ' ; but to this there is one exception, in which the radius of one of the circles is double... | |
| John Howard Cromwell - 1883 - 268 páginas
...corresponding to the positions p, c, and d of the rolling circle a. This curve, described by a point on the circumference of a circle which rolls -within the circumference of another circle, is called a hypocycloid. In Fig. 9 the motion of the circle a, relative to the motion of the... | |
| Linnaeus Wayland Dowling, Frederick Eugene Turneaure - 1914 - 294 páginas
...trisectrix of Maclaurin. Discuss its equation and draw the locus. TRANSCENDENTAL LOCI 13O. The cycloid. The locus of a point in the circumference of a circle which rolls (without sliding) along a fixed straight line is called the cycloid. The circle is called the generating... | |
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