The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate |
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Side 3
A semicircle is the figure contained by a diameter and the part of the circumference cut off by the diameter . XIX . “ A segment of a circle is the figure contained by a straight line , and the circumference it cuts off . ” XX .
A semicircle is the figure contained by a diameter and the part of the circumference cut off by the diameter . XIX . “ A segment of a circle is the figure contained by a straight line , and the circumference it cuts off . ” XX .
Side 66
... and B what was required is now done : But if they are not equal , produce one of them BE to to F , and make EF equal to ED , and bisect BF in G ; and from the centre G , at the distance GB , or GF , describe the semicircle ...
... and B what was required is now done : But if they are not equal , produce one of them BE to to F , and make EF equal to ED , and bisect BF in G ; and from the centre G , at the distance GB , or GF , describe the semicircle ...
Side 85
... circumference passes between the straight line and the perpendicular A E. “ And this is all that is to be understood , when , in the Greek text and translations from it , the angle of the semicircle is said to be greater than any ...
... circumference passes between the straight line and the perpendicular A E. “ And this is all that is to be understood , when , in the Greek text and translations from it , the angle of the semicircle is said to be greater than any ...
Side 89
Take F the centre of the circle ABCD : And , first , let the segment BAED be greater than a semicircle , and join BF , FD : And because the angle byd is at the centre , and the angle Bad at the circumference , and that they have the ...
Take F the centre of the circle ABCD : And , first , let the segment BAED be greater than a semicircle , and join BF , FD : And because the angle byd is at the centre , and the angle Bad at the circumference , and that they have the ...
Side 90
B с semicircle , let BAD , BED be angles in it ; these also are equal to one A E another : Draw AF to the centre , and produce it to c , and join CE : Therefore the segment BADC is greater than a semicircle ; and the angles in it BAC ...
B с semicircle , let BAD , BED be angles in it ; these also are equal to one A E another : Draw AF to the centre , and produce it to c , and join CE : Therefore the segment BADC is greater than a semicircle ; and the angles in it BAC ...
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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 |