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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Side 20
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 ...
Side 21
Let ABC be any triangle ; any А. two of its angles together are less than two right angles . Produce BC to D ; and because ACD is the exterior angle of the triangle ABC , ACD is greater ( 16. 1. ) than the interior and opposite angle ...
Let ABC be any triangle ; any А. two of its angles together are less than two right angles . Produce BC to D ; and because ACD is the exterior angle of the triangle ABC , ACD is greater ( 16. 1. ) than the interior and opposite angle ...
Side 23
is greater than the interior and opposite angle , the exterior angle BDC of the triangle CDE is greater than CED ; for the same reason , the exterior angle CEB of the triangle ABE is greater than BAC ; and it has been demonstrated that ...
is greater than the interior and opposite angle , the exterior angle BDC of the triangle CDE is greater than CED ; for the same reason , the exterior angle CEB of the triangle ABE is greater than BAC ; and it has been demonstrated that ...
Side 27
than the interior and opposite angle EFG ; but it is also equal to it , which is impossible : therefore , AB and CD being produced , do not meet toΑ . E B wards B , D. In like manner it may be demonstrated that they do not meet towards ...
than the interior and opposite angle EFG ; but it is also equal to it , which is impossible : therefore , AB and CD being produced , do not meet toΑ . E B wards B , D. In like manner it may be demonstrated that they do not meet towards ...
Side 28
If a straight line fall upon two parallel straight lines , it makes the alternate angles equal to one another ; and the exterior angle equal to the interior and opposite upon the same side ; and likewise the two interior angles upon the ...
If a straight line fall upon two parallel straight lines , it makes the alternate angles equal to one another ; and the exterior angle equal to the interior and opposite upon the same side ; and likewise the two interior angles upon the ...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Uten tilgangsbegrensning - 1836 |
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Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Uten tilgangsbegrensning - 1824 |
Vanlige uttrykk og setninger
ABCD altitude angle ABC angle BAC base bisected Book called centre chord circle circle ABC circumference coincide common consequently construction cosine definition demonstrated described diameter difference divided double draw drawn equal equal angles equiangular equilateral Euclid exterior angle extremity 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
Bibliografisk informasjon
| Tittel | 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 |
| Forfatter | John Playfair |
| Utgiver | W. E. Dean, 1840 |
| Original fra | Pennsylvania State-universitetet |
| Digitalisert | 22. mar 2010 |
| Lengde | 317 sider |
| Eksporter sitat | BiBTeX EndNote RefMan |