The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate |
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Side 6
“ If a straight line meets two straight lines , so as to make the two interior angles on the same side of it taken together less than two right angles , these straight lines being continually produced , shall at length meet upon that ...
“ If a straight line meets two straight lines , so as to make the two interior angles on the same side of it taken together less than two right angles , these straight lines being continually produced , shall at length meet upon that ...
Side 20
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 A c d is greater than either of the ...
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 A c d is greater than either of the ...
Side 21
than the interior and opposite angle ABC ; to each of these add the angle A CB ; therefore the angles A C D , A C B are greater than the angles ABC , ACB ; but A CD , ACB are together equal ( 1. 13. ) to two right angles ; therefore the ...
than the interior and opposite angle ABC ; to each of these add the angle A CB ; therefore the angles A C D , A C B are greater than the angles ABC , ACB ; but A CD , ACB are together equal ( 1. 13. ) to two right angles ; therefore the ...
Side 23
... DB ; but it has been shown that BA , A C are greater than B E , EC ; much more then are BA , A C greater than BD , А D B DC . Again , because the exterior angle of a triangle is greater than the interior and opposite angle ( 1.
... DB ; but it has been shown that BA , A C are greater than B E , EC ; much more then are BA , A C greater than BD , А D B DC . Again , because the exterior angle of a triangle is greater than the interior and opposite angle ( 1.
Side 24
is greater than the interior and opposite angle ( 1. 16. ) , the exterior angle BDC of the triangle CDE is greater than CED ; for the same reason , the exterior angle C E B of the triangle A B E is greater than BAC ; and it has been ...
is greater than the interior and opposite angle ( 1. 16. ) , the exterior angle BDC of the triangle CDE is greater than CED ; for the same reason , the exterior angle C E B of the triangle A B E is greater than BAC ; and it has been ...
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Vanlige uttrykk og setninger
A B C ABCD adjacent angle ABC angle ACB angle BAC angle equal base BC BC is equal bisect centre circle ABC circumference coincide common construct demonstrated describe diameter divided double draw equal angles equal to FB equilateral exterior angle extremity figure fore four given point given straight line greater impossible interior join less Let ABC likewise lines AC manner meet opposite angles opposite sides parallel parallelogram pass perpendicular PROB produced Q. E. D. PROP rectangle A B rectangle contained remaining remaining angle right angles segment semicircle shown sides squares of AC straight line A B Take taken THEOR third touch touches the circle triangle ABC twice the rectangle Wherefore whole
Bibliografisk informasjon
| Tittel | The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate Gleig's sch. series |
| Forfatter | Euclides |
| Redaktør | Thomas Tate |
| distribuert | 1851 |
| Original fra | Oxford University |
| Digitalisert | 30. jan 2009 |
| Lengde | 139 sider |
| Eksporter sitat | BiBTeX EndNote RefMan |