The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate |
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Side 3
A circle is a plane figure contained by one line , which is called the 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 .
A circle is a plane figure contained by one line , which is called the 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 .
Side 67
I. EQUAL circles are those of which the diameters are equal , or from the centres of which the straight lines to the circumferences are equal . “ This is not a definition but a theorem , the truth of which is evident ; for if the ...
I. EQUAL circles are those of which the diameters are equal , or from the centres of which the straight lines to the circumferences are equal . “ This is not a definition but a theorem , the truth of which is evident ; for if the ...
Side 68
A segment of a circle is the figure contained by a straight line and the circumference it cuts off . VII . “ The angle of a segment is that which is contained by the straight line and the circumference . ” VIII .
A segment of a circle is the figure contained by a straight line and the circumference it cuts off . VII . “ The angle of a segment is that which is contained by the straight line and the circumference . ” VIII .
Side 69
... FDB is equal to the angle GDB , the greater to the less , * N. B. Whenever the expression “ straight lines from the centre , ” or “ drawn from the centre , " occurs , it is to be understood that they are drawn to the circumference .
... FDB is equal to the angle GDB , the greater to the less , * N. B. Whenever the expression “ straight lines from the centre , ” or “ drawn from the centre , " occurs , it is to be understood that they are drawn to the circumference .
Side 70
If any two points be taken in the 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 ...
If any two points be taken in the 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 ...
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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 |