The Elements of Euclid |
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Side 17
AB to DE , and AC to DF ; A D Book I. and the angle BAC equal to the angle ÉDF ,
the base BC shall be equal to the base EF ; and the triangle ABC to the triangle
DEF ; and the other angles , to which the equal sides are opposite , shall be ...
AB to DE , and AC to DF ; A D Book I. and the angle BAC equal to the angle ÉDF ,
the base BC shall be equal to the base EF ; and the triangle ABC to the triangle
DEF ; and the other angles , to which the equal sides are opposite , shall be ...
Side 20
The angle BAC is e qual to the angle EDF . For , if the tri . angle ABC be ap . plied
to DEF , so B CE F that the point B be on E , and the straight line BC upon the
point C shall also coincide with the point F. Because EF ; BC is equal to EF ...
The angle BAC is e qual to the angle EDF . For , if the tri . angle ABC be ap . plied
to DEF , so B CE F that the point B be on E , and the straight line BC upon the
point C shall also coincide with the point F. Because EF ; BC is equal to EF ...
Side 21
Therefore if two b 8. Ax . triangles , & c . Q. E. D. PROP . IX . PROB . sect it . TO
bisect a given rectilineal angle , that is , to divide it into two equal angles . Let
BAC be the given rectilineal angle , it is required to bi . Take any point Din AB ,
and ...
Therefore if two b 8. Ax . triangles , & c . Q. E. D. PROP . IX . PROB . sect it . TO
bisect a given rectilineal angle , that is , to divide it into two equal angles . Let
BAC be the given rectilineal angle , it is required to bi . Take any point Din AB ,
and ...
Side 26
Let ABC be a triangle , and let its side BC be produced to D , the exterior angle
ACD is greater than either of the interior opposite angles CBA , BAC . A Bisect •
AC in E , join BE and produce it to F , and make EF equal to BE ; join also FC ,
and ...
Let ABC be a triangle , and let its side BC be produced to D , the exterior angle
ACD is greater than either of the interior opposite angles CBA , BAC . A Bisect •
AC in E , join BE and produce it to F , and make EF equal to BE ; join also FC ,
and ...
Side 27
1 these add the angle ACB ; therefore the angles ACD , ACB Book I. are greater
than the angles ABC , ACB ; but ACD ... be demonstrated , that BAC , ACB , as
also CAB , ABC , are less than two right angles , Therefore any two angles , & c .
1 these add the angle ACB ; therefore the angles ACD , ACB Book I. are greater
than the angles ABC , ACB ; but ACD ... be demonstrated , that BAC , ACB , as
also CAB , ABC , are less than two right angles , Therefore any two angles , & c .
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... Euclid,Robert Simson Uten tilgangsbegrensning - 1825 |
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... Euclid,Robert Simson Uten tilgangsbegrensning - 1838 |
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... Euclid Uten tilgangsbegrensning - 1892 |
Vanlige uttrykk og setninger
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Bibliografisk informasjon
| Tittel | The Elements of Euclid |
| Forfattere | Euclid, Robert Simson |
| Redaktør | Robert Simson |
| Utgiver | Johnson and Warner, 1811 |
| Original fra | University of Chicago |
| Digitalisert | 17. jun 2013 |
| Lengde | 518 sider |
| Eksporter sitat | BiBTeX EndNote RefMan |