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 |
Dentro del libro
Resultados 6-10 de 100
Página 28
But , when the adjacent angles which one straight line makes with another straight line are equal to one another , each of them is called a right ( 7. def . ) angle ; therefore each of the angles DCF , ECF , is a right angle . Wherefore ...
But , when the adjacent angles which one straight line makes with another straight line are equal to one another , each of them is called a right ( 7. def . ) angle ; therefore each of the angles DCF , ECF , is a right angle . Wherefore ...
Página 30
Ax . ) ; to one another ; therefore the angles CBE , EBD are equal to the angles DBA , ABC ; but CBE , EBD , are two right angles ; therefore DBA , ABC are together equal to two right angles . Wherefore , when a straight line , & c .
Ax . ) ; to one another ; therefore the angles CBE , EBD are equal to the angles DBA , ABC ; but CBE , EBD , are two right angles ; therefore DBA , ABC are together equal to two right angles . Wherefore , when a straight line , & c .
Página 31
... and the triangle AEB to the triangle CEF , and the remaining angles to the remaining angles , each to each , to which the equal sides are oppoG site ; wherefore the angle BAE is equal to the angle ECF ; but the angle ECD is greater ...
... and the triangle AEB to the triangle CEF , and the remaining angles to the remaining angles , each to each , to which the equal sides are oppoG site ; wherefore the angle BAE is equal to the angle ECF ; but the angle ECD is greater ...
Página 32
to ABD because the side AB is equal to the side AD ; therefore the angle ABD is likewise greater than the angle ACB ; wherefore much more is the angle ABC greater than ACB . Therefore the greater side , & c . Q. E. D. PROP . XIX .
to ABD because the side AB is equal to the side AD ; therefore the angle ABD is likewise greater than the angle ACB ; wherefore much more is the angle ABC greater than ACB . Therefore the greater side , & c . Q. E. D. PROP . XIX .
Página 38
DEF , and the other apgles to the other angles , each to each , to which the equal sides are opposite ; therefore the angle GCB is equal to the angle DFE but DFE is , by the hypothesis , equal to the angle BCA ; wherefore also the angle ...
DEF , and the other apgles to the other angles , each to each , to which the equal sides are opposite ; therefore the angle GCB is equal to the angle DFE but DFE is , by the hypothesis , equal to the angle BCA ; wherefore also the angle ...
Comentarios de la gente - Escribir un comentario
No encontramos ningún comentario en los lugares habituales.
Otras ediciones - Ver todas
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 |