| Charles Hutton - Mathematics - 1812
...their like linear dimensions, since they are composed of pyramids every way similar. THEOREM CXVI. **If a Sphere be cut by a Plane, the Section will be...then will the section ADB be a circle. Draw the chord** AB, or diameter of the section ; perpendicular to which, or to the section ADB, draw the axis of the... | |
| Charles Hutton - Mathematics - 1818 - 646 pages
...their like linear dimensions, since they are composed of pyramids every way similar. THEOREM CXY1. lf **a Sphere be cut by a Plane, the Section will be a...then will the section ADB be a circle. Draw the chord** AB, or diameter of the section ; perpendicular to which, or to the section ADB, draw the axis of the... | |
| Charles Hutton - Mathematics - 1822 - 618 pages
...their like linear dimensions, since they are composed of pyramids every way similar, THEOREM CXVI. **If a Sphere be cut by a Plane, the Section will be...a Circle.. LET the sphere AEBF be cut by the plane** ADR ; then will the section ADB be a circle. Draw the chord AB, or diameter of the section ; perpendicular... | |
| Charles Hutton - Mathematics - 1825
...linear dimensions, since they are composed of pyramids every way similar. THEOREM CXVI. If a Sphere b« **cut by a Plane, the Section will be a Circle. LET...then will the section ADB be a circle. Draw the chord** AB. or diameter of the section ; perpendicular to which, or to the section ADB, draw the axis of the... | |
| Peter Nicholson - 1826 - 382 pages
...walls from whence they spring, are dependant on the following principles. 158. It is well known that, **if a sphere be cut by a plane, the section will be a circle;** and, if a hemisphere be cut by a plane perpendicular to its base, the section will be a semi-circle.... | |
| Charles Hutton - Mathematics - 1831 - 634 pages
...their like linear dimensions, since they are composed of pyramids every way similar. THEOREM cxvr. **IF a sphere be cut by a plane, the section will be a circle. Let the sphere AEBF be cut by the plane** .ми; ; then will the section ADB be a circle. If the section pass through the centre of the sphere,... | |
| Charles Hutton - Mathematics - 1831 - 670 pages
...their like linear dimensions, since they are composed of pyramids every way similar. THEOREM CXVI. IP **a sphere be cut by a plane, the section will be a circle. Let the sphere AEBF be cut by the plane** _K_ ADB ; then will the section ADB be a circle. If the section pass through the centre of the sphere,... | |
| William Galbraith - Astronomy - 1834 - 428 pages
...revolving semicircle. 5. The axis of the sphere is the straight line about which the semicircle relolves. **PROPOSITION I. 6. If a sphere be cut by a plane, the...perpendicular to the section ADB, and through the centre** C draw the axis of the sphere ECGF, which will (Euc. III. 3.) bisect the chord AB in the point G. Also... | |
| Olinthus Gregory - Mathematics - 1834 - 472 pages
...equal to one another. 11. Every pyramid is a third part of a prism of the same base and altitude. 12. **If a sphere be cut by a plane, the section will be a circle.** 13. Every sphere is two-thirds of its circumscribing cylinder. 14. A cone hemisphere, and cylinder... | |
| Luke Hebert - Industrial arts - 1835 - 938 pages
...a perfectly flat surface in whatever position, as horizontal plane, vertical plane, inclined plane. **If a sphere be cut by a plane, the section will be a circle.** If a prism or cylinder be cut by a plane, either through or parallel to its axis, the section will... | |
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