 | 1801 - 658 σελίδες
...of the cone make equal angles with the base ; as ADE. 7. The section is af^perbcla, when the cutting plane makes a greater angle with the base than the side of the cone makes ; as ADE. / 8. And if all the sides of the cone be continued through the vertex, forming an opposite... | |
 | David Steel - 1805 - 392 σελίδες
...of the cone make equal angles whh the base, the section is a parabola, as PA b b. • If the cutting plane makes a greater angle with the base than the side of the cone makes, the section is called an hyperbola, as ACD : and, if the plane be continued so as to cut an opposite... | |
 | Charles Hutton - 1807 - 464 σελίδες
...of the cone make equal angles with the base. 7. The 7. The section is an hyperbola, when the cutting plane makes a greater angle with the base than the side of th« cone makes. 8. And if all the sides of the cone be continued through the vertex, forming an opposite... | |
 | Edward Augustus Kendall - 1811 - 482 σελίδες
...is a parabola : here the angle b A z is equal to B a z. The section is an hyperbola when the cutting plane makes a greater angle with the base than the side of the cone makes ; thus in fig. 5. the angle A 6 z is greater than the angle MBZ : and if the plane AD £ be continued... | |
 | Charles Hutton - 1811 - 494 σελίδες
...the cone make equal angles with the base. 7. The M, 7'. The section is an hyperbola, when the cutting plane makes a greater angle with the base than the side of the cone makes. 8. And if all the sides of the cone be continued through the vertex, forming an opposite equal cone,... | |
 | 1811 - 558 σελίδες
...the cutting plane, and the axis of the cone would be destroyed, and the section for some time make a greater angle with the base than the side of the cone ; during which period the iris would be a hyperbola. When the elevation has attained that degree at... | |
 | Charles Hutton - 1812 - 620 σελίδες
...the cone make equal angles with the base. r. The 7. The section is an hyperbola, when •the cutting plane makes a greater angle with the base than the side of the cone makes. 8. And if all the sides of the cone lie continued through the vertex, forming an opposite equal cone,... | |
 | Charles Hutton - 1822 - 616 σελίδες
...side of the cone make equal angles With the base. 7. The section is an hyperbola, when the catting plane makes a greater angle with the base than the side of the cone makes. 8. And if all the sides of the cone be continued through the vertex, forming an opposite equal cone,... | |
 | William Jillard Hort - 1822 - 308 σελίδες
...the cone VUWX, is a parabola. When the intersecting plane cuts the cone in such a manner, as to make a greater angle with the base, than the side of the cone does, it produces the figure, called an hyperbola. And if the plane be produced so as to cut an opposite... | |
 | William Grier - 1832 - 366 σελίδες
...cone make equal angles with the base — (Fig.- 79.) The section is an hyperbola, when the cutting plane makes a greater angle with the base than the side of the cone makes. will be the opposite hyperbola to the former; as dEe — (Fig. 80.) The Vertices of any section, are... | |
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The section is an hyperbola, when the cutting plane makes a greater angle with the base than the side of the cone makes. 
