The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate |
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Side 67
A straight line is said to 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 .
A straight line is said to 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
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 centre are equal .
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 centre are equal .
Side 73
If two circles 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 ...
If two circles 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 ...
Side 79
If two circles touch each other internally , the straight line which joins their centres being produced shall pass through the point of contact . Let the two circles ABC , ADE , touch each other internally in the point A , and let F be ...
If two circles touch each other internally , the straight line which joins their centres being produced shall pass through the point of contact . Let the two circles ABC , ADE , touch each other internally in the point A , and let F be ...
Side 80
One circle cannot touch another in more points than one , whether it touches it on the inside or outside . For , if it be possible , let the circle EBF touch the circle ABC in more points than one , and first on the inside , in the ...
One circle cannot touch another in more points than one , whether it touches it on the inside or outside . For , if it be possible , let the circle EBF touch the circle ABC in more points than one , and first on the inside , in the ...
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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 |