The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate1851 - 139 sider |
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Side 67
... touch a circle , when it meets the circle , and being produced does not cut it . III . Circles are said to touch one another , BOOK III . 67 DEFINITIONS .
... touch a circle , when it meets the circle , and being produced does not cut it . III . Circles are said to touch one another , BOOK III . 67 DEFINITIONS .
Side 68
Euclides Thomas Tate. III . Circles are said to touch one another , which meet , but do not cut one another . IV . Straight lines are said to be equally distant from the centre of a circle , when the perpendiculars drawn to them from the ...
Euclides Thomas Tate. III . Circles are said to touch one another , which meet , but do not cut one another . IV . Straight lines are said to be equally distant from the centre of a circle , when the perpendiculars drawn to them from the ...
Side 73
... touch one another internally , they shall not have the same centre . Let the two circles ABC , CDE , touch one another internally in the point c : They have not the same centre . For , if they can , let it be F ; join FC and draw any ...
... touch one another internally , they shall not have the same centre . Let the two circles ABC , CDE , touch one another internally in the point c : They have not the same centre . For , if they can , let it be F ; join FC and draw any ...
Side 78
... centre of two circles that cut one another , which is impossible ( III . 5. ) . Therefore one circumference of a circle cannot cut another in more than two points . Q. E. D. PROP . XI . THEOR . If two circles touch 78 EUCLID'S ELEMENTS .
... centre of two circles that cut one another , which is impossible ( III . 5. ) . Therefore one circumference of a circle cannot cut another in more than two points . Q. E. D. PROP . XI . THEOR . If two circles touch 78 EUCLID'S ELEMENTS .
Side 79
... touch each other externally , the straight line which joins their centres shall pass through the point of contact . Let the two circles ABC , ADE touch each other externally in the point a : and let F be the centre of the circle ABC ...
... touch each other externally , the straight line which joins their centres shall pass through the point of contact . Let the two circles ABC , ADE touch each other externally in the point a : and let F be the centre of the circle ABC ...
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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