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 TrigonometryE. Duyckinck, and George Long, 1824 - 333 σελίδες |
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Σελίδα 181
... 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 . 1. 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 . 1. THEOR . One part of a straight line cannot be in a plane and another part about it . If it be possible ...
Σελίδα 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 ...
Σελίδα 193
... angles DAB , DAC ; therefore BAC , with either of them , is greater than the other . Wherefore , if a solid angle , & c . Q. E. D. PROP . XXI . THEOR . The plane angles which contain any solid angle are together less than four right angles ...
... angles DAB , DAC ; therefore BAC , with either of them , is greater than the other . Wherefore , if a solid angle , & c . Q. E. D. PROP . XXI . THEOR . The plane angles which contain any solid angle are together less than four right angles ...
Σελίδα 194
... solid angle , any two are great- er than the third , S72 ; and therefore ✗ ✓ 4R ; that is , the sum of the plane angles which contain the solid angle at A is less than four right angles . Q. E. D. SCHOLIUM . A It is evident , that ...
... solid angle , any two are great- er than the third , S72 ; and therefore ✗ ✓ 4R ; that is , the sum of the plane angles which contain the solid angle at A is less than four right angles . Q. E. D. SCHOLIUM . A It is evident , that ...
Σελίδα 196
... solid figure described by the revolution of a right angled triangle about one of the sides containing the right angle which side remains fixed . XII . The axis of a cone is the fixed straight line about which the triangle revolves ...
... solid figure described by the revolution of a right angled triangle about one of the sides containing the right angle which side remains fixed . XII . The axis of a cone is the fixed straight line about which the triangle revolves ...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ... Formerly Chairman Department of Immunology John Playfair,John Playfair Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2017 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABC is equal ABCD altitude angle ABC angle ACB angle BAC angle EDF arch AC base BC bisected centre circle ABC circumference cosine cylinder definition demonstrated diameter draw equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater hypotenuse inscribed join less Let ABC Let the straight line BC magnitudes MDCCCXX meet multiple opposite angle parallel parallelepipeds parallelogram perpendicular polygon prism PROB produced proportionals proposition Q. E. D. COR Q. E. D. PROP radius ratio rectangle contained rectilineal figure remaining angle segment semicircle shewn side BC sine solid angle solid parallelepipeds spherical angle spherical triangle straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore