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 29
Because FH is equal to HG , and HC common to the two triangles FHC , GHC , the two sides FH , HC are equal to the two GH , HC , each to each ; but the base CF is also equal ( 11. Def .
Because FH is equal to HG , and HC common to the two triangles FHC , GHC , the two sides FH , HC are equal to the two GH , HC , each to each ; but the base CF is also equal ( 11. Def .
Página 30
... but the angles ABC , ABD are likewise together equal to two right angles ; therefore the angles CBA , ABE are equal to the angles CBA , ABD : Take away the common angle ABC , and the remain . ing angle ABE is equal ( 3.
... but the angles ABC , ABD are likewise together equal to two right angles ; therefore the angles CBA , ABE are equal to the angles CBA , ABD : Take away the common angle ABC , and the remain . ing angle ABE is equal ( 3.
Página 31
Take away the common angle AED , D and the remaining angle CEA is equal ( 3. Ax . ) to the remaining angle DEB . In the same manner it may be demonstrated that the angles CEB , AED are equal . Therefore , if two straight lines , & c .
Take away the common angle AED , D and the remaining angle CEA is equal ( 3. Ax . ) to the remaining angle DEB . In the same manner it may be demonstrated that the angles CEB , AED are equal . Therefore , if two straight lines , & c .
Página 39
to two right angles , the angles AGH , BGH are equal to the angles BGH , GHD : Take away the common angle BGH ; therefore the remaining angle AGH is equal to the remaining angle GHD ; and they are alternate angles ; therefore AB is ...
to two right angles , the angles AGH , BGH are equal to the angles BGH , GHD : Take away the common angle BGH ; therefore the remaining angle AGH is equal to the remaining angle GHD ; and they are alternate angles ; therefore AB is ...
Página 42
... that is , as there are sides of the figure ; and the same ' angles are equal to the angles of T the figure , together with the angles at EE the point F , which is the common vertex of the triangles : that is , ( 2 Cor . 16. 1. ) ...
... that is , as there are sides of the figure ; and the same ' angles are equal to the angles of T the figure , together with the angles at EE the point F , which is the common vertex of the triangles : that is , ( 2 Cor . 16. 1. ) ...
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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 |