 | Mathematics - 1801 - 658 pages
...and the siue of the cone make equal angles with the base •, as ADE. 7. The section is a faperbela, when the cutting plane makes a greater angle with the base than the side of the cone mskes ; as ADE. / 8. And if all the sides of the cone be continued through the vertex, forming an opposite... | |
 | David Steel - 1805 - 392 pages
...inclined to the base in a less angle than the side of the cone, the section is an ellipse, as TS c n. 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 - Mathematics - 1807 - 464 pages
...side, or when the cutting plane and the side 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... | |
 | Samuel Webber - Mathematics - 1808 - 520 pages
...cutting plane and the side of the cone make equal angles with the base ; as ADE. 7. The section is a hyperbola, when the cutting plane makes a greater...angle with the base than the side of the con.e makes ; as ADE. 8. And if all the sides of the cone be continued through the vertex, forming an opposite... | |
 | Charles Hutton - Mathematics - 1811 - 442 pages
...the side, or when the cutting plane and the side of the cone make equal angles •with the base. 7. The section is an hyperbola, when the cutting plane...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,... | |
 | Edward Augustus Kendall - Encyclopedias and dictionaries - 1811 - 962 pages
...of its sides, as in fig. 4 the section AD £ is a parabola : here the angle b A s is equal to B a z. The section is an hyperbola when the cutting; plane...angle with the base than the side of the cone makes ; thus in fig. 5. the angle A 6 g is greater than the angle MBZ : and if the plane ADE be continued... | |
 | Edward Augustus Kendall - 1811 - 474 pages
...of its sides, as in fig. 4 the section AD £ is a parabola : here the angle 6 A t is equal to B a x. The section is an hyperbola when the cutting plane makes a greater angle with the base than tha side of the cone makes ; thus in fig. 5. the angle A bx is greater than the angle MBZ : and if... | |
 | Agriculture - 1811 - 558 pages
...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 - Mathematics - 1812 - 620 pages
...to the side, or when the cutting plane and the side of the cone make equal angles with the base. 7. The section is an hyperbola, when •the cutting plane...angle with the base than the side of the cone makes. 8. And if all the sides of the cone te continued through the vertex, forming an opposite equal cone,... | |
 | William Shepherd, Jeremiah Joyce, Lant Carpenter - Education - 1817 - 606 pages
...sides, or when the plane is inclined to the base in a less angle than the side of the cone is. (5.) The section is an hyperbola, when the cutting plane...the cone makes, and if the plane be continued to cut the opposite cone, this latter section is called the opposite hyperbola to the former. (6.) The vertices... | |
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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. 
