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 TrigonometryW.E. Dean, 1836 - 311 páginas |
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Página 176
... 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 . PROP . I. THEOR . One part of a straight line cannot be in a plane and another part about 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 . PROP . I. THEOR . One part of a straight line cannot be in a plane and another part about it . If it be possible ...
Página 186
... 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 . any two If ...
... 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 . any two If ...
Página 187
... angles . Let the planes which contain the solid angle at A be cut by another plane , and let the section of them by that plane be the rectilineal figure BCDEF . And because the solid angle at B is contained by three plane angles CBA ...
... angles . Let the planes which contain the solid angle at A be cut by another plane , and let the section of them by that plane be the rectilineal figure BCDEF . And because the solid angle at B is contained by three plane angles CBA ...
Página 188
... Solids; to which are Added, Elements of Plane and Spherical Trigonometry John Playfair. $ 75 ; and therefore X4R ; that is , the sum of the plane angles which contain the solid angle at A is less than four right angles . SCHOLIUM . A It ...
... Solids; to which are Added, Elements of Plane and Spherical Trigonometry John Playfair. $ 75 ; and therefore X4R ; that is , the sum of the plane angles which contain the solid angle at A is less than four right angles . SCHOLIUM . A It ...
Página 190
... Solids; to which are Added, Elements of Plane and Spherical Trigonometry John Playfair. 11. A cone is a solid figure described by the revolution of a right angled triangle about one of the sides containing the right angle , which side ...
... Solids; to which are Added, Elements of Plane and Spherical Trigonometry John Playfair. 11. A cone is a solid figure described by the revolution of a right angled triangle about one of the sides containing the right angle , which side ...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Vista de fragmentos - 1836 |
Términos y frases comunes
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC angles equal base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated diameter divided draw Prob equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles 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 PROP 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 third touches the circle triangle ABC triangle DEF wherefore