| Elias Loomis - 1849 - 252 pages
...squares, and one with pentagons. BOOK IX. SPHERICAL GEOMETRY. Definitions. 1. A sphere is a solid bounded by a curved surface, all the points of which are equally distant from a point within, called the center. The sphere may be conceived to be described by the revolution of a semicircle ADB, about... | |
| Rufus Putnam - 1849 - 402 pages
...of one end to the middle of the opposite end. 10. A SPHERE, or GLOBE, is a solid bounded by a curve surface, all the points of which are equally distant from a point within called the centre. 11. A hemisphere is half a sphere. 12. The axis or diameter of a sphere is a line passing through the... | |
| Almon Ticknor - 1849 - 156 pages
...SECTION 4. — THE CIRCLE AND MEASUREMENT or ANGLES. 27. The circumference of a circle is a curved line, all the points of which are equally distant from a point within, called the centre. Every straight line, CA, CE, ,CD, drawn from the centre to the circumference is called a radius, or... | |
| Charles Davies - 1849 - 372 pages
...are in the convex surface of the cone, and the pyramid is said to be inscribed in the cone. 8. The sphere is a solid terminated by a curved surface, all the points of whicn are equally distant from a point within. called the centre. The sphere may be conceived to be... | |
| Charles Davies - 1850 - 218 pages
...cones are also similar, when the diameters of their bases are proportional to their altitudes. 25. A sphere is a solid terminated by a curved surface,...all the points of which are equally distant from a certain point within called the centre. 26. The sphere may be described by revolving a semicircle,... | |
| Charles Davies - 1850 - 238 pages
...cones are also similar, when the diameters of their bases are proportional to their altitudes. 25. A sphere is a solid terminated by a curved surface,...all the points of which are equally distant from a certain point within called the centre. 26. The sphere may be described by revolving a semicircle,... | |
| Charles Davies - 1850 - 412 pages
...circle whose diameter is 14 ? 4. How many square yards in a circle whose diameter is 3% feet? 335. A sphere is a solid terminated by a curved surface,...all the points of which are equally distant from a certain point within, called the centre. The line AD, passing through its centre C, is called the diameter... | |
| George Roberts Perkins - 1850 - 332 pages
...circumscribed prism; hence they will be their lines of contact. 7. A sphere is a solid terminated by a curve surface, all the points of which are equally distant from a point within, called the centre. The sphere m-ay be conceived to be generated by the revolution of a semicircle DAE about its diameter DE;... | |
| Adrien Marie Legendre - 1852 - 436 pages
...said to be inscribed in the cone. The cone is also said to be circumscribed about the pyramid. 9. The SPHERE is a solid terminated by a curved surface,...distant from a point within, called the centre. The sphere may be generated by the revolution of a semicircle DAE, about its diameter DE : for, the surface... | |
| Charles Davies - 1852 - 422 pages
...circle whose diameter is 14 ? 4. How many square yards in a circle whose diameter is 3j feet? 335. A sphere is a solid terminated by a curved surface,...all the points of which are equally distant from a certain point within, called the centre. The line AD, passing through its centre G, is called the diameter... | |
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