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 |
Dentro del libro
Resultados 6-10 de 90
Página 29
Let AB be a given straight line , which may be produced to any length both ways , and let C be a point without it . It is required to draw a straight line perpendiC cular to AB from the point C. Take any point D upon the E other side of ...
Let AB be a given straight line , which may be produced to any length both ways , and let C be a point without it . It is required to draw a straight line perpendiC cular to AB from the point C. Take any point D upon the E other side of ...
Página 31
If one side of a triangle be produced , the exterior angle is greater than either of the interior , and opposite angles . Let ABC be a triangle , and let its side BC be produced to D , the exterior angle ACD is greater than either of ...
If one side of a triangle be produced , the exterior angle is greater than either of the interior , and opposite angles . Let ABC be a triangle , and let its side BC be produced to D , the exterior angle ACD is greater than either of ...
Página 32
Produce BC to D ; and because ACD is the exterior angle of the triangle ABC , ACD is greater ( 16. 1. ) then the interior and opposite angle ABC ; to each of these add the angle ACB ; therefore the apgles ACD , ACB are greater than the ...
Produce BC to D ; and because ACD is the exterior angle of the triangle ABC , ACD is greater ( 16. 1. ) then the interior and opposite angle ABC ; to each of these add the angle ACB ; therefore the apgles ACD , ACB are greater than the ...
Página 33
Produce BA'to the point D , D and make ( 3. 1. ) AD equal to AC ; and join DC . Because DA is equal to AC , the angle ADC is likewise equal ( 5. 1. ) to ACD ; but the angle BCD is greater than the angle ACD ; therefore the angle BCD B ...
Produce BA'to the point D , D and make ( 3. 1. ) AD equal to AC ; and join DC . Because DA is equal to AC , the angle ADC is likewise equal ( 5. 1. ) to ACD ; but the angle BCD is greater than the angle ACD ; therefore the angle BCD B ...
Página 34
Produce BD to E ; and because two sides of a triangle ( 20.1 . ) 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 ...
Produce BD to E ; and because two sides of a triangle ( 20.1 . ) 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 ...
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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 |