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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. "
Chambers's English Dictionary: Pronouncing, Explanatory, and Etymological ... - Página 392
editado por - 1872 - 952 páginas
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Mathematics: Compiled from the Best Authors and Intended to be the ..., Volumen2

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...
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The shipwright's vade-mecum [by D. Steel].

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...
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A Course of Mathematics in Two Volumes for the Use of Academies as Well as ...

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...
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Pocket Encyclopedia: Or, A Dictionary of Arts, Sciences, and ..., Volumen2

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...
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A Course of Mathematics: In Three Volumes : Composed for the Use of the ...

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,...
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Retrospect of Philosophical, Mechanical, Chemical, and ..., Volumen6

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...
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A Course of Mathematics: For the Use of Academies as Well as Private Tuition

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,...
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A Course of Mathematics: For the Use of Academies, as Well as Private ...

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,...
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A general view of the sciences and arts, Volumen1

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...
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The Mechanic's Calculator, Or Workman's Memorial Book, Etc

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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