 | Euclides - 1845 - 546 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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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... which joins the centers of the two circles be produced to meet the circumferences, and let the extremities of this line and any other line from the point of contact be joined. From the center of the larger circle draw perpendiculars on the sides of... 