The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate |
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Side 6
the circle BCD , and from the centre B , at the distance BA , describe the circle ACE ; and from the point c , in which the circles cut one another , draw the straight lines ( Post . 1. ) CA , CB , to the points A , B ; ABC shall be an ...
the circle BCD , and from the centre B , at the distance BA , describe the circle ACE ; and from the point c , in which the circles cut one another , draw the straight lines ( Post . 1. ) CA , CB , to the points A , B ; ABC shall be an ...
Side 8
Because A is the centre of the circle DEF , AE is equal to AD ( Def . 15. ) ; but the straight line c is ... Let ABC , DEF be two triangles , which have the two sides A B , AC equal to the two sides DE , DF , each to each , A viz .
Because A is the centre of the circle DEF , AE is equal to AD ( Def . 15. ) ; but the straight line c is ... Let ABC , DEF be two triangles , which have the two sides A B , AC equal to the two sides DE , DF , each to each , A viz .
Side 69
Similar segments of a circle are those in which the angles are equal , or which contain equal angles . PROP . I. PROB , To find the centre of a given circle . Let ABC be the given circle ; it is required to find its centre .
Similar segments of a circle are those in which the angles are equal , or which contain equal angles . PROP . I. PROB , To find the centre of a given circle . Let ABC be the given circle ; it is required to find its centre .
Side 70
which is impossible : Therefore G is not the centre of the circle ABC : In the same manner it can be shown , that no other point but F is the centre ; that is , F is the centre of the circle ABC : Which was to be found . Cor .
which is impossible : Therefore G is not the centre of the circle ABC : In the same manner it can be shown , that no other point but F is the centre ; that is , F is the centre of the circle ABC : Which was to be found . Cor .
Side 71
If a straight line drawn through the centre of a circle bisect a straight line in it which does not pass through the centre , it shall cut it at right angles ; and , if it cuts it at right angles , it shall bisect it . Let ABC be a ...
If a straight line drawn through the centre of a circle bisect a straight line in it which does not pass through the centre , it shall cut it at right angles ; and , if it cuts it at right angles , it shall bisect it . Let ABC be a ...
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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 |