The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate |
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Side 20
From this it is manifest , that , if two straight lines cut one another , the angles they make at the point where ... If one side of a triangle be produced , the exterior angle is greater than either of the interior opposite angles .
From this it is manifest , that , if two straight lines cut one another , the angles they make at the point where ... If one side of a triangle be produced , the exterior angle is greater than either of the interior opposite angles .
Side 21
Produce BC to D ; and because Acd is the exterior angle of the triangle A B C , ACD is B greater ( 1. 16. ) 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 ...
Produce BC to D ; and because Acd is the exterior angle of the triangle A B C , ACD is B greater ( 1. 16. ) 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 ...
Side 23
BCD is greater than the angle A CD ; therefore the angle BCD is greater than the angle ADC ; and because the angle B C D of the ... Again , because the exterior angle of a triangle is greater than the interior and opposite angle ( 1.
BCD is greater than the angle A CD ; therefore the angle BCD is greater than the angle ADC ; and because the angle B C D of the ... Again , because the exterior angle of a triangle is greater than the interior and opposite angle ( 1.
Side 24
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 demonstrated that the angle BDC is greater than the angle CE B ...
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 demonstrated that the angle BDC is greater than the angle CE B ...
Side 29
A B to DE ; likewise in this case , be BC B to EF ; and also the third angle BAC to the third equal , AC DO DF , and HC ... angle BCA , that is , the exterior angle BHA of the triangle AHC is equal to its interior and opposite angle BCA ...
A B to DE ; likewise in this case , be BC B to EF ; and also the third angle BAC to the third equal , AC DO DF , and HC ... angle BCA , that is , the exterior angle BHA of the triangle AHC is equal to its interior and opposite angle BCA ...
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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 |