The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate1851 - 139 sider |
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Side 20
... angles . COR . 2. And consequently that all the angles made by any number of lines meeting in one point , are together equal to four right angles . PROP . XVI . THEOR . If one side of a triangle be produced , the exterior angle is ...
... angles . COR . 2. And consequently that all the angles made by any number of lines meeting in one point , are together equal to four right angles . PROP . XVI . THEOR . If one side of a triangle be produced , the exterior angle is ...
Side 21
... angles together are less than two right angles . Produce BC to D ; and be- cause A C D is the exterior angle of the triangle ABC , ACD is B greater ( 1. 16. ) than the interior and opposite angle ABC ; to each of these add the angle ACB ...
... angles together are less than two right angles . Produce BC to D ; and be- cause A C D is the exterior angle of the triangle ABC , ACD is B greater ( 1. 16. ) than the interior and opposite angle ABC ; to each of these add the angle ACB ...
Side 23
Euclides Thomas Tate. BCD is greater than the angle A CD ; therefore the angle BCD is greater than the angle ADC ... exterior angle of a triangle is greater than the interior and opposite angle ( 1. BOOK I. PROP . XXI . 23.
Euclides Thomas Tate. BCD is greater than the angle A CD ; therefore the angle BCD is greater than the angle ADC ... exterior angle of a triangle is greater than the interior and opposite angle ( 1. BOOK I. PROP . XXI . 23.
Side 24
... exterior angle B DC of the triangle CDE is greater than CED ; for the same reason , the exterior angle CEB of the triangle A BE is greater than BAC ; and it has been demonstrated that the angle BDC is greater than the angle CE B ; much ...
... exterior angle B DC of the triangle CDE is greater than CED ; for the same reason , the exterior angle CEB of the triangle A BE is greater than BAC ; and it has been demonstrated that the angle BDC is greater than the angle CE B ; much ...
Side 29
Euclides Thomas Tate. base DF , and the third angle BAC to the third angle E D F. Next , let the sides which A are ... exterior angle BHA of the tri- angle AHC is equal to its interior and oppo- site angle BCA , which is impossible ( 1 ...
Euclides Thomas Tate. base DF , and the third angle BAC to the third angle E D F. Next , let the sides which A are ... exterior angle BHA of the tri- angle AHC is equal to its interior and oppo- site angle BCA , which is impossible ( 1 ...
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Vanlige uttrykk og setninger
A B C ABCD adjacent angles angle ABC angle ACB angle BAC angle equal angles BGH base BC BC is equal bisect centre circle ABC circumference diameter divided double draw a straight equal angles equal circles equal straight lines equal to FB exterior angle given point given rectilineal angle given straight line gnomon greater half a right hypotenuse interior and opposite isosceles triangle less Let ABC Let the straight line be drawn opposite angles parallel parallelogram perpendicular PROB produced Q. E. D. PROP rectangle AE rectangle contained rectilineal figure remaining angle right angles segment semicircle side BC square of AC straight line AB straight line AC straight line drawn THEOR touches the circle trapezium triangle ABC twice the rectangle vertex vertical angle