The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate1851 - 139 sider |
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Side 3
... circumference , and is such that all straight lines drawn from a certain point within the figure to the circumference are equal to one another . XVI . And this point is called the centre of the circle . XVII . A diameter of a circle is ...
... circumference , and is such that all straight lines drawn from a certain point within the figure to the circumference are equal to one another . XVI . And this point is called the centre of the circle . XVII . A diameter of a circle is ...
Side 67
... circumferences are equal . “ This is not a definition but a theorem , the truth of which is evident ; for if the circles be applied to one another , so that their centres coincide , the circles must likewise coincide , since the ...
... circumferences are equal . “ This is not a definition but a theorem , the truth of which is evident ; for if the circles be applied to one another , so that their centres coincide , the circles must likewise coincide , since the ...
Side 68
... circumference it cuts off . VII . " The angle of a segment is that which is contained by the straight line and the circumference . " VIII . An angle in a segment is the angle contained by two straight lines drawn from any point in the ...
... circumference it cuts off . VII . " The angle of a segment is that which is contained by the straight line and the circumference . " VIII . An angle in a segment is the angle contained by two straight lines drawn from any point in the ...
Side 69
... expression " straight lines from the centre , " or " drawn from the centre , " occurs , it is to be understood that they are drawn to the circumference . which is impossible : Therefore G is not the centre BOOK III . PROP . I. 69.
... expression " straight lines from the centre , " or " drawn from the centre , " occurs , it is to be understood that they are drawn to the circumference . which is impossible : Therefore G is not the centre BOOK III . PROP . I. 69.
Side 70
... circumference of a circle , the straight line which joins them shall fall within the circle . Let ABC be a circle , and A , B any two points in the circumference ; the straight line drawn from A to B shall fall within the circle . For ...
... circumference of a circle , the straight line which joins them shall fall within the circle . Let ABC be a circle , and A , B any two points in the circumference ; the straight line drawn from A to B shall fall within the circle . For ...
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Vanlige uttrykk og setninger
A B C ABCD adjacent alternate 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 equilateral exterior angle extremity figure fore four given point given straight line gnomon greater impossible interior join less Let ABC Let the straight likewise manner meet opposite angles opposite sides parallel parallelogram pass perpendicular PROB produced Q. E. D. PROP rectangle contained remaining remaining angle right angles segment semicircle shown sides square of AC straight line AC Take taken THEOR third touch touches the circle triangle ABC twice the rectangle vertex 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 |