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 18
A D $ 9 $ E B с N. B. " When several angles are at one point B , any one of them is expressed by three letters ... upon the other line : Thus the angle which is contained by the straight lines , AB , CB , is named the angle ABC , or CBA ...
A D $ 9 $ E B с N. B. " When several angles are at one point B , any one of them is expressed by three letters ... upon the other line : Thus the angle which is contained by the straight lines , AB , CB , is named the angle ABC , or CBA ...
Página 23
... and have likewise the angles contained by those sides equal to one another , their bases , or third sides , shall ... D angle BAC be also equal to the angle EDF : then shall the base BC be equal to the base EF ; and the triangle ABC ...
... and have likewise the angles contained by those sides equal to one another , their bases , or third sides , shall ... D angle BAC be also equal to the angle EDF : then shall the base BC be equal to the base EF ; and the triangle ABC ...
Página 24
5 posite , shall be equal , each to each , viz . the angle ABC to the angle DEF , and the angle ACB to DFE . For , if the triangle ABC be applied to the triangle DEF , so that the point A may be on D , and the straight line AB upon DE ...
5 posite , shall be equal , each to each , viz . the angle ABC to the angle DEF , and the angle ACB to DFE . For , if the triangle ABC be applied to the triangle DEF , so that the point A may be on D , and the straight line AB upon DE ...
Página 25
Now , since it has been demonstrated , that the whole angle ABG is equal to the whole ACF , and the part CBG , to the part BCF the remaining angle ABC is therefore equal to the remaining angle ACB , which are the angles at the base of ...
Now , since it has been demonstrated , that the whole angle ABG is equal to the whole ACF , and the part CBG , to the part BCF the remaining angle ABC is therefore equal to the remaining angle ACB , which are the angles at the base of ...
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to the angle ADC : But the angle ACD is greater than the angle BCD , therefore the angle ADC is greater also than BCD ... be equal to the angle contained . by the two sides of the other . ľ Let ABC , DEF be two triangles having the two ...
to the angle ADC : But the angle ACD is greater than the angle BCD , therefore the angle ADC is greater also than BCD ... be equal to the angle contained . by the two sides of the other . ľ Let ABC , DEF be two triangles having the two ...
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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 |