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
are greater than the third side , the two A sides BA , AE of the triangle ABE are greater than BE . To each of these add EC ; therefore the sides E BA , AC are greater than BE , EC : D Again , because the two sides CE , ED , of the ...
are greater than the third side , the two A sides BA , AE of the triangle ABE are greater than BE . To each of these add EC ; therefore the sides E BA , AC are greater than BE , EC : D Again , because the two sides CE , ED , of the ...
Página 37
AB to DE , and AC to DF ; and the third angle BAC to the third angle EDF . For , if AB be pot equal to DE , one of them must be the greater . Let AB be the greater of the two , and make BG equal to DE , and join GC ; therefore , because ...
AB to DE , and AC to DF ; and the third angle BAC to the third angle EDF . For , if AB be pot equal to DE , one of them must be the greater . Let AB be the greater of the two , and make BG equal to DE , and join GC ; therefore , because ...
Página 38
Next , let the sides A D which are opposite to equal angles in each tri . angle be equal to one another , viz . AB to DE ; likewise in this case , the other sides shall be equal , AC to DF , and BC to EF ; and also the third angle BAC ...
Next , let the sides A D which are opposite to equal angles in each tri . angle be equal to one another , viz . AB to DE ; likewise in this case , the other sides shall be equal , AC to DF , and BC to EF ; and also the third angle BAC ...
Página 71
than the third , BE , EF are greater than BF ; but AE is equal to EB ; therefore AE and EF , that is , AF , is greater than F : again , because BE is equal to CE , and FE common to the triangles BEF , CEF , the two sides BE , EF are ...
than the third , BE , EF are greater than BF ; but AE is equal to EB ; therefore AE and EF , that is , AF , is greater than F : again , because BE is equal to CE , and FE common to the triangles BEF , CEF , the two sides BE , EF are ...
Página 100
9 > To describe an isosceles triangle , having each of the angles at the base double of the third angle . Take any straight line AB , and divide ( 11. 2. ) , it in the point C , so that the rectangle AB , BC may be equal to the square ...
9 > To describe an isosceles triangle , having each of the angles at the base double of the third angle . Take any straight line AB , and divide ( 11. 2. ) , it in the point C , so that the rectangle AB , BC may be equal to the square ...
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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 |