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 34
If from the ends of one side of a triangle , there be drawn two straight lines to a point within the triangle , these ... To construct a triangle of which the sides shall be equal to three given straight lines ; but any two whatever of ...
If from the ends of one side of a triangle , there be drawn two straight lines to a point within the triangle , these ... To construct a triangle of which the sides shall be equal to three given straight lines ; but any two whatever of ...
Página 35
Take a straight line DE terminated at the point D , but unlimited towards E , and make ( 3. ... And therefore the triangle KFG has its three sides KF , FG , GK equal to the three given straight lines , A , B , C. Which was to be done .
Take a straight line DE terminated at the point D , but unlimited towards E , and make ( 3. ... And therefore the triangle KFG has its three sides KF , FG , GK equal to the three given straight lines , A , B , C. Which was to be done .
Página 36
Therefore , at the given point A in the given straight line AB , the angle FAG is made equal to the given rectilineal angle DCE . Which was to be done . PROP . XXIV . THEOR . If two triangles have two sides of the one equ il to two ...
Therefore , at the given point A in the given straight line AB , the angle FAG is made equal to the given rectilineal angle DCE . Which was to be done . PROP . XXIV . THEOR . If two triangles have two sides of the one equ il to two ...
Página 41
Again , because the straight line GK cuts the parallel straight lines EF , CD , the angle GHF is equal ( 29. ... Let A be the given point , and BC the given straight line , it is required to draw a straight line Α . through the point A ...
Again , because the straight line GK cuts the parallel straight lines EF , CD , the angle GHF is equal ( 29. ... Let A be the given point , and BC the given straight line , it is required to draw a straight line Α . through the point A ...
Página 45
Equal triangles on the same side of bases , which are equal and in the same straight line , are between the sume ... PROB , To describe a parallelogram that shall be equal to a given triangle , and have one of its angles equal to a ...
Equal triangles on the same side of bases , which are equal and in the same straight line , are between the sume ... PROB , To describe a parallelogram that shall be equal to a given triangle , and have one of its angles equal to a ...
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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 |