The Elements of Euclid |
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Side 26
IF one side of a triangle be produced , the exterior angle is greater than either of
the interior 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 the interior
opposite ...
IF one side of a triangle be produced , the exterior angle is greater than either of
the interior 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 the interior
opposite ...
Side 27
THE greater side of every triangle is opposite to the greater angle . D Let ABC be
a triangle , of which А the side AC is greater than the side AB ; the angle ABC , is
also greater than the angle BCA . Because AC is greater than AB , make a AD ...
THE greater side of every triangle is opposite to the greater angle . D Let ABC be
a triangle , of which А the side AC is greater than the side AB ; the angle ABC , is
also greater than the angle BCA . Because AC is greater than AB , make a AD ...
Side 29
Again , because the exterior angle of a triangle is greater than the interior and
opposite angle , the exterior anglè BDC of the triangle CDE is greater than CED ;
for the same reason , the exterior angle CEB of the triangle ABE is greater than ...
Again , because the exterior angle of a triangle is greater than the interior and
opposite angle , the exterior anglè BDC of the triangle CDE is greater than CED ;
for the same reason , the exterior angle CEB of the triangle ABE is greater than ...
Side 31
... and much more is the angle EFG greater than the angle EGF ; and because the
angle EFG of the triungle EFG is greater than its angle LGF , and that the greater
e side is opposite to the greater angle ; the side EG e 19. 1 . is therefore greater ...
... and much more is the angle EFG greater than the angle EGF ; and because the
angle EFG of the triungle EFG is greater than its angle LGF , and that the greater
e side is opposite to the greater angle ; the side EG e 19. 1 . is therefore greater ...
Side 33
... therefore the ci base GC is equal to the base DF , and the triangle GBC to a 4 1
. the triangle DEF , and the other angles to the other angles , each to each , to
which the equal sides are opposite ; therefore the angle GSB is equal to the
angle ...
... therefore the ci base GC is equal to the base DF , and the triangle GBC to a 4 1
. the triangle DEF , and the other angles to the other angles , each to each , to
which the equal sides are opposite ; therefore the angle GSB is equal to the
angle ...
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Vanlige uttrykk og setninger
added altitude angle ABC angle BAC base Book centre circle circle ABCD circumference common cone contained cylinder definition demonstrated described diameter divided double draw drawn equal equal angles equiangular equimultiples excess fore four fourth given angle given in position given in species given magnitude given ratio given straight line greater Greek half join less likewise magnitude manner meet multiple Note opposite parallel parallelogram pass perpendicular plane prisms produced PROP proportionals proposition pyramid radius reason rectangle rectangle contained remaining right angles segment shown sides similar sine solid solid angle sphere square square of AC taken THEOR third triangle ABC wherefore whole
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 |