The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate |
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Side 2
... at the point in which the straight lines that contain the angle meet one another , is put between the other two ... straight lines , and the other upon the other line : Thus the angle which is contained by the straight lines A B ...
... at the point in which the straight lines that contain the angle meet one another , is put between the other two ... straight lines , and the other upon the other line : Thus the angle which is contained by the straight lines A B ...
Side 6
“ If a straight line meets two straight lines , so as to make the two interior angles on the same side of it taken together less than ... Let A B be the given straight line ; it is required to describe an equilateral triangle upon it .
“ If a straight line meets two straight lines , so as to make the two interior angles on the same side of it taken together less than ... Let A B be the given straight line ; it is required to describe an equilateral triangle upon it .
Side 7
the straight line AB ; and upon it describe ( 1. 1. ) the equilateral triangle DAB , and produce ( Post . 2. ) the straight lines DA , DB , to E and F ; from the centre B , at the distance BC , describe ( Post . 3. ) ...
the straight line AB ; and upon it describe ( 1. 1. ) the equilateral triangle DAB , and produce ( Post . 2. ) the straight lines DA , DB , to E and F ; from the centre B , at the distance BC , describe ( Post . 3. ) ...
Side 8
D E B F whereof AB is the greater . It is required to cut off from AB , the greater , a part equal to C , the cl less . From the point A draw ( 1. 2. ) the straight line AD equal to c ; and from the centre A , and at the distance AD ...
D E B F whereof AB is the greater . It is required to cut off from AB , the greater , a part equal to C , the cl less . From the point A draw ( 1. 2. ) the straight line AD equal to c ; and from the centre A , and at the distance AD ...
Side 9
For , if the triangle ABC be applied to DEF , so that the point A may be on D , and the straight line A B upon DE ; the point B shall coincide with the point E , because AB is equal to DE ( Hyp . ) ; and AB coinciding with DE , AC shall ...
For , if the triangle ABC be applied to DEF , so that the point A may be on D , and the straight line A B upon DE ; the point B shall coincide with the point E , because AB is equal to DE ( Hyp . ) ; and AB coinciding with DE , AC shall ...
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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 |