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 37
X. PROB .. Two angles of a triangle being given , to find the third . Draw any straight line CD ; at a point therein , as B , make the angle CBA equal to one of the given an- gles , and the angle ABE equal to the other the remaining ...
X. PROB .. Two angles of a triangle being given , to find the third . Draw any straight line CD ; at a point therein , as B , make the angle CBA equal to one of the given an- gles , and the angle ABE equal to the other the remaining ...
Página 38
PROB . To draw a straight line through a given point parallel to a given straight line . Let A be the given point , and BC the given straight line , it is required to draw a straight line through the point A , parallel to the straight ...
PROB . To draw a straight line through a given point parallel to a given straight line . Let A be the given point , and BC the given straight line , it is required to draw a straight line through the point A , parallel to the straight ...
Página 39
F G line EC make ( Prob . 9. ) the angle CEF equal to D ; and through A draw ( Prob . 13. ) AG parallel to BC , and through C draw CG ( Prob . 13. ) paral- lel to EF ; therefore FECG is a pa- rallelogram And because BE is equal to EC ...
F G line EC make ( Prob . 9. ) the angle CEF equal to D ; and through A draw ( Prob . 13. ) AG parallel to BC , and through C draw CG ( Prob . 13. ) paral- lel to EF ; therefore FECG is a pa- rallelogram And because BE is equal to EC ...
Página 40
PROB . To describe a parallelogram equivalent to a given rectilineal figure , and having an angle equal to a given rectilineal angle . Let ABCD be the given rectilineal figure , and E the given rectilineal angle .
PROB . To describe a parallelogram equivalent to a given rectilineal figure , and having an angle equal to a given rectilineal angle . Let ABCD be the given rectilineal figure , and E the given rectilineal angle .
Página 41
PROB . To find a triangle that shall be equivalent to any given rectilineal figure . Let ABCDE be the given rectilineal figure . Draw the diagonal CE , cutting off the triangle CDE ; draw DF paral- lel to CE , meeting AE produced ...
PROB . To find a triangle that shall be equivalent to any given rectilineal figure . Let ABCDE be the given rectilineal figure . Draw the diagonal CE , cutting off the triangle CDE ; draw DF paral- lel to CE , meeting AE produced ...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Vista de fragmentos - 1836 |
Términos y frases comunes
ABCD altitude angle ABC angle BAC base bisected Book called centre chord circle circumference coincide common consequently construction cosine cylinder definition demonstrated described diameter difference divided double draw drawn equal equal angles equiangular equilateral Euclid exterior angle extremities fall fore four fourth given given straight line greater half Hence inscribed interior join less Let ABC magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism Prob produced PROP proportional proposition proved radius ratio reason rectangle contained rectilineal figure remaining right angles segment shewn sides similar sine solid spherical square straight line taken tangent THEOR third touch 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 |
| Edición | 6 |
| Editor | W.E. Dean, 1836 |
| Largo | 311 páginas |
| Exportar cita | BiBTeX EndNote RefMan |