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
Página 94
In a given circle to inscribe a triangle equiangular to a given triangle . Let ABC be the given circle , and DEF the given triangle ; it is required to inscribe in the circle ABC a triangle equiangular to the triangle DEF . Draw ( 17.
In a given circle to inscribe a triangle equiangular to a given triangle . Let ABC be the given circle , and DEF the given triangle ; it is required to inscribe in the circle ABC a triangle equiangular to the triangle DEF . Draw ( 17.
Página 95
to the remaining angle EDF : Wherefore the triangle ABC is equiangular to the triangle DEF , and it is inscribed in the circle ABC . Which was to be done . DEF ; PROP . III . PROB . About a given circle to describe a triangle ...
to the remaining angle EDF : Wherefore the triangle ABC is equiangular to the triangle DEF , and it is inscribed in the circle ABC . Which was to be done . DEF ; PROP . III . PROB . About a given circle to describe a triangle ...
Página 96
to the remaining angle EDF : Wherefore the triangle LMN is equiangular to the triangle DEF : And it is described about the circle ABC . Which was to be done . PROP . IV . PROB . Po inscribe a circle in a given triangle . a G Let the ...
to the remaining angle EDF : Wherefore the triangle LMN is equiangular to the triangle DEF : And it is described about the circle ABC . Which was to be done . PROP . IV . PROB . Po inscribe a circle in a given triangle . a G Let the ...
Página 101
To inscribe an equilateral and equiangular pentagon in a given circle . Let ABCDE be the given circle , it is required to inscribe an equi . lateral and equiangular pentagon in the circle ABCDE . Describe ( 10. 4. ) ...
To inscribe an equilateral and equiangular pentagon in a given circle . Let ABCDE be the given circle , it is required to inscribe an equi . lateral and equiangular pentagon in the circle ABCDE . Describe ( 10. 4. ) ...
Página 102
Wherefore , in the given circle , an equilateral and equiangular pentagon has been in . scribed . Which was to be done . Otherwise . a “ Divide the radius of the given circle , so that the rectangle coni tained by the whole and one of ...
Wherefore , in the given circle , an equilateral and equiangular pentagon has been in . scribed . Which was to be done . Otherwise . a “ Divide the radius of the given circle , so that the rectangle coni tained by the whole and one of ...
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 |