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 93
I. A RECTILINEAL figure is said to be inscribed in another rectilineal figure , when all the angles of the inscribed figure are upon the sides of the figure in which it is inscribed , each upon each . II , In like manner , a figure is ...
I. A RECTILINEAL figure is said to be inscribed in another rectilineal figure , when all the angles of the inscribed figure are upon the sides of the figure in which it is inscribed , each upon each . II , In like manner , a figure is ...
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
Po inscribe a circle in a given triangle . a G Let the given triangle be ABC ; it is required to inscribe a circle ... Therefore the straight lines AB , BC , CA , do each of them touch the circle , and the circle EFG iş inscribed in the ...
Po inscribe a circle in a given triangle . a G Let the given triangle be ABC ; it is required to inscribe a circle ... Therefore the straight lines AB , BC , CA , do each of them touch the circle , and the circle EFG iş inscribed in the ...
Página 97
To inscribe a square in a given circle . Let ABCD be the given circle ; it is required to inscribe a square ; in ABCD . Draw the diameters AC , BD at right angles to one another , and join AB , BC , CD , DA ; because BE is equal to ED ...
To inscribe a square in a given circle . Let ABCD be the given circle ; it is required to inscribe a square ; in ABCD . Draw the diameters AC , BD at right angles to one another , and join AB , BC , CD , DA ; because BE is equal to ED ...
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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 |