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 |
Αναζήτηση στο βιβλίο
Σελίδα 17
... stright 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 Euclit C A D B E N. B. When several angles are ELEMENTS.
... stright 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 Euclit C A D B E N. B. When several angles are ELEMENTS.
Σελίδα 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 , is ...
... 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 , is ...
Σελίδα 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 ...
Σελίδα 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 A E B G D its exterior angle AEF is 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 A E B G D its exterior angle AEF is 38 ELEMENTS.
Σελίδα 39
... meet towards B , D. In like manner it may be demonstrated that they do not meet towards A , C ; but those straight lines . which meet neither way , ( 30. Def . ) to one another . fore , if a straight line & c . C F though produced ever ...
... meet towards B , D. In like manner it may be demonstrated that they do not meet towards A , C ; but those straight lines . which meet neither way , ( 30. Def . ) to one another . fore , if a straight line & c . C F though produced ever ...
Άλλες εκδόσεις - Προβολή όλων
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 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 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