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
Neither can “ two straight lines have a common segment ; that is , they cannot “ coincide in part , without coinciding altogether . " IV . A superficies is that which has only length and breadth . “ Cor .
Neither can “ two straight lines have a common segment ; that is , they cannot “ coincide in part , without coinciding altogether . " IV . A superficies is that which has only length and breadth . “ Cor .
Página 24
... and they contain the angle FAG common to the two trianA gles , AFC , AGB ; therefore the base FC is equal ( 4. 1. ) to the base GB , and the triangle AFC to the triangle AGB ; and the remaining angles of the one are equal ( 4. 1. ) ...
... and they contain the angle FAG common to the two trianA gles , AFC , AGB ; therefore the base FC is equal ( 4. 1. ) to the base GB , and the triangle AFC to the triangle AGB ; and the remaining angles of the one are equal ( 4. 1. ) ...
Página 25
off DB equal to AC the less , and join DC ; therefore , beΑ . cause in the triangles DBC , ACB , DB is equal to AC , and BC common to both , the two sides DB , BC are equal to the two AC , D CB , each to each ; but the angle DBC is also ...
off DB equal to AC the less , and join DC ; therefore , beΑ . cause in the triangles DBC , ACB , DB is equal to AC , and BC common to both , the two sides DB , BC are equal to the two AC , D CB , each to each ; but the angle DBC is also ...
Página 27
Because AD is equal to AE , and AF is common to the two triangles DAF , EAF ; the two sides DA , AF , are equal to the two sides EA , AF , each to each ; DA VE but the base DF is also equal to the base EF ; therefore the angle DAF is ...
Because AD is equal to AE , and AF is common to the two triangles DAF , EAF ; the two sides DA , AF , are equal to the two sides EA , AF , each to each ; DA VE but the base DF is also equal to the base EF ; therefore the angle DAF is ...
Página 28
AB is cut into two equal parts in the point D. Because AC is equal to CB , and CD common to the two triangles ACD , BCD : the two sides AC , CD , are C equal to the two BC , CD , each to each ; but the angle ACD is also equal to the au ...
AB is cut into two equal parts in the point D. Because AC is equal to CB , and CD common to the two triangles ACD , BCD : the two sides AC , CD , are C equal to the two BC , CD , each to each ; but the angle ACD is also equal to the au ...
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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 |