Elements of Geometry: With Practical Applications ...H.H. Howley and Company, 1847 - 308 sider |
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Resultat 1-5 av 38
Side 193
... sphere to be described about any given solid angle comprised under three plane angles , and that those planes are produced till they cut the surface of the sphere ; then will the surface of the spherical triangle included between those ...
... sphere to be described about any given solid angle comprised under three plane angles , and that those planes are produced till they cut the surface of the sphere ; then will the surface of the spherical triangle included between those ...
Side 194
... sphere . It will , of course , be understood , that this measurement has only a relation to the magnitude of the angles . It has no reference to their geometrical properties , which may be very different , although their magnitudes , as ...
... sphere . It will , of course , be understood , that this measurement has only a relation to the magnitude of the angles . It has no reference to their geometrical properties , which may be very different , although their magnitudes , as ...
Side 224
... 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 may be con- ceived to be generated by the revolution of a semicircle DAE about its ...
... 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 may be con- ceived to be generated by the revolution of a semicircle DAE about its ...
Side 225
... sphere , when their surfaces have but one point in common . 11. The pole of a circle of a sphere , is a point in the surface equally distant from all the points in the circum- ference of this circle . 12. A spherical triangle is a ...
... sphere , when their surfaces have but one point in common . 11. The pole of a circle of a sphere , is a point in the surface equally distant from all the points in the circum- ference of this circle . 12. A spherical triangle is a ...
Side 226
... sphere , included between two parallel planes , which form its bases . One of these planes may be a tangent to the sphere ; in which case , the zone has only a single base . 19. A spherical segment is the portion of the solid sphere ...
... sphere , included between two parallel planes , which form its bases . One of these planes may be a tangent to the sphere ; in which case , the zone has only a single base . 19. A spherical segment is the portion of the solid sphere ...
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Vanlige uttrykk og setninger
a+b+c AC² altitude angle ACD angle BAC bisect centre chord circ circular sector circumference cone consequently convex surface cylinder diagonal diameter distance draw equal and parallel equiangular equilateral triangle equivalent exterior angle figure formed four right angles given line greater half the arc hypothenuse inscribed circle intersection isosceles join less Let ABC lines drawn magnitude measured by half meet multiplied number of sides opposite angles parallel planes parallelogram parallelopipedon pendicular perimeter perpendicular plane MN point G prism PROBLEM produced Prop PROPOSITION pyramid radii radius rectangle regular polygon respectively equal right angles right-angled triangle Sabc Schol Scholium semicircle semicircumference side AC similar similar triangles solid angle solid described sphere spherical triangle square straight line suppose tangent THEOREM three sides triangle ABC triangular prism vertex VIII
Populære avsnitt
Side 37 - The sum of all the angles of a polygon is equal to twice as many right angles as the polygon has sides, less two.
Side 180 - THEOREM. If one of two parallel lines is perpendicular to a plane, the other will also be perpendicular to this plane. Let AP & ED be parallel lines, of which AP is perpendicular to the plane MN ; then will ED be also perpendicular to this plane.
Side 139 - PROBLEM. To inscribe a circle in a given triangle. Let ABC be the given triangle : it is required to inscribe a circle in the triangle ABC.
Side 224 - The radius of a sphere is a straight line, drawn from the centre to any point of the...
Side 43 - In a right-angled triangle, the side opposite the right angle is" called the Hypothenuse ; and the other two sides are cal4ed the Legs, and sometimes the Base and Perpendicular.
Side 184 - THEOREM. If two angles, not situated in the same plane, have their sides parallel and lying in the same direction, they will be equal, and the planes in which they are situated will be parallel.
Side 10 - A circle is a plane figure contained by one line, which is called the circumference, and is such, that all straight lines drawn from a certain point within the figure to the circumference are equal to one another.
Side 226 - We conclude then, that the solidity of a cylinder is equal to the product of its base by its altitude.
Side 22 - If two sides and the included angle of the one are respectively equal to two sides and the included angle of the other...
Side 12 - If equals be added to unequals, the wholes are unequal. V. If equals be taken from unequals, the remainders are unequal. VI. Things which are double of the same, are equal to one another.