| 1801 - 426 páginas
...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
...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
...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
...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
...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
...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
...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
...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
...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 - 300 páginas
...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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