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, 1839 - 318 sider |
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Resultat 1-5 av 79
Side 17
... straight lines to one another , which meet together , but are not in the same straight line . The definitions marked with inverted commas are different from those of Euclid . C B C L E N. B. When several angles are ELEMENTS ...
... straight lines to one another , which meet together , but are not in the same straight line . The definitions marked with inverted commas are different from those of Euclid . C B C L E N. B. When several angles are ELEMENTS ...
Side 18
... meet one another , is put between the other two ' letters , and one of these two is somewhere upon one of those straight ' lines , and the other upon the other line : Thus the angle which ' is contained by the straight lines , AB , CB ...
... meet one another , is put between the other two ' letters , and one of these two is somewhere upon one of those straight ' lines , and the other upon the other line : Thus the angle which ' is contained by the straight lines , AB , CB ...
Side 20
... figures besides these , are called Trapeziums . XXX . Parallel straight lines , are such as are in the same plane , and which being produced ever so far both ways , do not meet . POSTULATES . I. LET it be granted that a straight 20 ...
... figures besides these , are called Trapeziums . XXX . Parallel straight lines , are such as are in the same plane , and which being produced ever so far both ways , do not meet . POSTULATES . I. LET it be granted that a straight 20 ...
Side 38
... meet either towards B , D , or towards A , C ; let them be produced and meet towards B , D in the point G ; therefore GEF is a triangle , and its exterior angle AEF is greater ( 16. 1. ) 38 ELEMENTS.
... meet either towards B , D , or towards A , C ; let them be produced and meet towards B , D in the point G ; therefore GEF is a triangle , and its exterior angle AEF is greater ( 16. 1. ) 38 ELEMENTS.
Side 39
... meet towards B , D. In like E manner it may be demon- C F strated that they do not meet towards A , C ; but B G D those straight lines which meet neither way though produced ever so far , are parallel ( 30. Def . ) to one another . AB ...
... meet towards B , D. In like E manner it may be demon- C F strated that they do not meet towards A , C ; but B G D those straight lines which meet neither way though produced ever so far , are parallel ( 30. Def . ) to one another . AB ...
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Vanlige uttrykk og setninger
ABC is equal ABCD altitude angle ABC angle ACB angle BAC angle EDF arch AC base BC bisected centre circle ABC circumference cosine cylinder 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 meet opposite angle parallel parallelogram parallelopipeds perpendicular polygon prism PROB produced proportional 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 parallelopipeds spherical angle spherical triangle square straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore