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 Trigonometry |
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Página 17
... of two stright lines to one another , which meet together , but are not in the same straight line . ܪ * The definitions marked with inverted commas are different from those of Eyeliu C A D $ 9 $ E B с N. B. ELEMENTS A Notes.) ...
... of two stright lines to one another , which meet together , but are not in the same straight line . ܪ * The definitions marked with inverted commas are different from those of Eyeliu C A D $ 9 $ E B с N. B. ELEMENTS A Notes.) ...
Página 18
... at the point in which the straight lines that crintain the angle 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 ...
... at the point in which the straight lines that crintain the angle 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 ...
Página 20
Parallel straight lines , are such as are in the same plane , and which being produced ever so far both ways , do not meet . 2 POSTULATES . I. Let it be granted that a straight 20 ELEMENTS A ...
Parallel straight lines , are such as are in the same plane , and which being produced ever so far both ways , do not meet . 2 POSTULATES . I. Let it be granted that a straight 20 ELEMENTS A ...
Página 38
For , if it be not parallel , AB and CD being produced shall 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 ...
For , if it be not parallel , AB and CD being produced shall 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 ...
Página 39
... CD beiog produced , do not meet towards B , D. In like mannerit may 6 be demonstrated that they с F D do not meet towards A , C ; but tbose straight lines , which meet neither way , though produced ever so far , are parallel ( 30.
... CD beiog produced , do not meet towards B , D. In like mannerit may 6 be demonstrated that they с F D do not meet towards A , C ; but tbose straight lines , which meet neither way , though produced ever so far , are parallel ( 30.
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Términos y frases comunes
ABC is equal ABCD altitude angle ABC angle BAC arch base bisected Book called centre circle circle ABC circumference coincide common cylinder definition demonstrated described diameter difference divided double draw drawn equal equal angles equiangular Euclid exterior angle extremity fall fore four fourth given given straight line greater half inscribed interior join less Let ABC magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism produced PROP proportionals proposition proved radius ratio reason rectangle contained rectilineal figure right angles segment shewn sides similar sine solid square straight line taken tangent THEOR thing third touches triangle ABC wherefore whole
Información bibliográfica
| Título | 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 Trigonometry |
| Autor | John Playfair |
| Editor | E. Duyckinck, and George Long, 1824 |
| Procedencia del original | Universidad de Indiana |
| Digitalizado | 15 Ene. 2009 |
| Largo | 333 páginas |
| Exportar cita | BiBTeX EndNote RefMan |