Elements of Geometry: Containing the First Six Books of Euclid: With a Supplement on the Quadrature of the Circle, and the Geometry of Solids: to which are Added, Elements of Plane and Spherical TrigonometryLippincott, Grambo & Company, 1854 - 317 sider |
Inni boken
Resultat 1-5 av 17
Side 182
... solid angle is an angle made by the meeting of more than two plane angles , which are not in the same plane in one point . PRCP . I. THEOR . One part of a straight line cannot be in a plane and another part above it . If it be possible ...
... solid angle is an angle made by the meeting of more than two plane angles , which are not in the same plane in one point . PRCP . I. THEOR . One part of a straight line cannot be in a plane and another part above it . If it be possible ...
Side 192
... solid angle be contained by three plane angles , any two of these angles are greater than the third . Let the solid angle at A be contained by the three plane angles BAC , CAD , DAB . Any two of them are greater than the third . D If the ...
... solid angle be contained by three plane angles , any two of these angles are greater than the third . Let the solid angle at A be contained by the three plane angles BAC , CAD , DAB . Any two of them are greater than the third . D If the ...
Side 193
... solid angle are together less than four right angles . B A Let A be a solid ang e contained by any number of plane angles BAC , CAD , DAE , EAF , FAB ; these together are less than four right ... angle DAB is equal to the angle BAE; ...
... solid angle are together less than four right angles . B A Let A be a solid ang e contained by any number of plane angles BAC , CAD , DAE , EAF , FAB ; these together are less than four right ... angle DAB is equal to the angle BAE; ...
Side 194
... angles which contain the solid angle at A is less than four right angles . SCHOLIUM . A It is evident , that when any of the angles of the figure BCDEF is ex- terior , like the angle at D , in the an- nexed figure , the reasoning in the ...
... angles which contain the solid angle at A is less than four right angles . SCHOLIUM . A It is evident , that when any of the angles of the figure BCDEF is ex- terior , like the angle at D , in the an- nexed figure , the reasoning in the ...
Side 196
... angle , which revolves . 14. A cylinder is a solid figure described by the revolution of a right an- gled parallelogram about one of its sides , which remains fixed . 15. The axis of a cylinder is the fixed straight line about which the ...
... angle , which revolves . 14. A cylinder is a solid figure described by the revolution of a right an- gled parallelogram about one of its sides , which remains fixed . 15. The axis of a cylinder is the fixed straight line about which the ...
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Vanlige uttrykk og setninger
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated described diameter divided draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given rectilineal given straight line greater Hence hypotenuse inscribed join less Let ABC Let the straight magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular polygon prism PROB PROP proportional proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle solid parallelopiped spherical angle spherical triangle square straight line BC THEOR touches the circle triangle ABC triangle DEF wherefore