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 23
... and have likewise the angles contained by those sides equal to one another , their bases , or third sides , shall ... and let the D angle BAC be also equal to the angle EDF : then shall the base BC be equal to the base EF ; and the ...
... and have likewise the angles contained by those sides equal to one another , their bases , or third sides , shall ... and let the D angle BAC be also equal to the angle EDF : then shall the base BC be equal to the base EF ; and the ...
Página 24
... the point B shall coincide with the point E , because AB is equal to DE ; and AB coincidivg with DE , AC shall coincide with DF , because the angle BAC is equal to the angle EDF ; wherefore also the point C shall coincide with the ...
... the point B shall coincide with the point E , because AB is equal to DE ; and AB coincidivg with DE , AC shall coincide with DF , because the angle BAC is equal to the angle EDF ; wherefore also the point C shall coincide with the ...
Página 27
The angle BAC is equal to the angle EDF . For , if the triangle ABC be applied to the triangle DEF , so that the point B be on É , and the straight line BC upon EF ; the point C Ë shall also coincide with the point F , because BC is ...
The angle BAC is equal to the angle EDF . For , if the triangle ABC be applied to the triangle DEF , so that the point B be on É , and the straight line BC upon EF ; the point C Ë shall also coincide with the point F , because BC is ...
Página 31
For the angles CEA , AED , which the straight line AE makes with the straight line CD , are together equal ( 13. 1. ) ... side BC be produced to D , the exterior angle ACD is greater than either of the interior opposite angles CBA , BAC .
For the angles CEA , AED , which the straight line AE makes with the straight line CD , are together equal ( 13. 1. ) ... side BC be produced to D , the exterior angle ACD is greater than either of the interior opposite angles CBA , BAC .
Página 32
BC be bisected , it may be demonstrated that the angle BCG , that is ( 15. 1. ) , the angle ACD , is greater than the ... In like manner , it way be demonstrated , that BAC , ACB , as also , CAB , ABC , are less than two right angles .
BC be bisected , it may be demonstrated that the angle BCG , that is ( 15. 1. ) , the angle ACD , is greater than the ... In like manner , it way be demonstrated , that BAC , ACB , as also , CAB , ABC , are less than two right angles .
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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 |