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Llibres Llibres 1 - 6 de 6 sobre horizon" be given to the plane passing through our eye which is produced to the (extremities....
" horizon" be given to the plane passing through our eye which is produced to the (extremities of the) universe, and separates off the segment which we see above the earth. The horizon is a circle; for, if a sphere be cut by a plane, the section is a circle.... "
The elements of plane and spherical trigonometry. [With] Key - Pągina 120
per William Rossiter - 1868
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The Edinburgh Encyclopędia Conducted by David Brewster, with the ..., Volum 18

1832
...Spherical Surface. (I.) By the principles of solid geometry it is proved that if a sphere be intersected by a plane, the section is a circle. If the plane pass through the centre of the sphere, the section is called a great circle; if not, it is a lesser circle. (2.) That diameter of the sphere,...
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Elements of Geometry, Theoretical and Practical: Including Constructions of ...

Eugenius Nulty - 1836 - 220 pągines
...any required distance from the centre. § 1. OF THE SECTIONS OF A SPHERE BY A PLANE. THEOREM I. 30. If a sphere be cut by a plane, the section is a circle. Let AB С D be a sphere cut by a plane ; the section ABС is a circle. The intersecting plane may pass...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Robert Potts - 1845
...semi-circumferences is equal to the circle whose diameter is DB. THEOREM III. Every section of a sphere by a plane is a circle. If the plane pass through the centre of the sphere, it is manifest that the section is a circle, having the same diameter as the generating semicircle....
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Stargazing: Past and Present

Sir Norman Lockyer - 1878 - 496 pągines
...our station to the heaven, and bounding the hemisphere visible above the earth. It is a circle ; for if a sphere be cut by a plane the section is a circle. " The Meridian is a circle passing through the poles of the sphere, and at right angles to the horizon....
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1879 - 266 pągines
...all diameters of a sphere are equal. 3. It will be proved that every section of a sphere by a plane is a circle. If the plane pass through the centre of the sphere, the circle is called a great circle; if not, a small circle. Corottary.—The diameter of a great circle is also...
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Greek Astronomy

Thomas Little Heath - 1932 - 192 pągines
...universe, and separates off the segment which we see above the earth. The horizon is a circle; for, // a sphere be cut by a plane, the section is a circle. Let the name "meridian circle" be given to the circle through the poles which is at right angles to...
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