The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate |
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Side 2
D E B N.B. “ When several angles are at one point B , any one of them is expressed by three letters , of which the ... other upon the other line : Thus the angle which is contained by the straight lines A B , CB , is named the angle ABC ...
D E B N.B. “ When several angles are at one point B , any one of them is expressed by three letters , of which the ... other upon the other line : Thus the angle which is contained by the straight lines A B , CB , is named the angle ABC ...
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 two right angles , these ... CA , CB , to the points A , B ; ABC shall be an equilateral triangle .
“ 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 two right angles , these ... CA , CB , to the points A , B ; ABC shall be an equilateral triangle .
Side 8
AB to DE , and AC to DF , and the angle BAC equal to the angle EDF , the base BC shall be equal to the base EF ; C E and the triangle ABC to the triangle DEF ; and the other angles , to which the equal sides are opposite , shall be ...
AB to DE , and AC to DF , and the angle BAC equal to the angle EDF , the base BC shall be equal to the base EF ; C E and the triangle ABC to the triangle DEF ; and the other angles , to which the equal sides are opposite , shall be ...
Side 9
viz . the angle ABC to the angle DEF , and the angle ACB to DFE . 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 ...
viz . the angle ABC to the angle DEF , and the angle ACB to DFE . 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 ...
Side 10
G Let ABC be an isosceles triangle , of which the side a B is equal to A C , and let the straight lines A B , AC be produced to D and E , the angle ABC shall be equal to the angle ACB , and the angle con to the angle BCE .
G Let ABC be an isosceles triangle , of which the side a B is equal to A C , and let the straight lines A B , AC be produced to D and E , the angle ABC shall be equal to the angle ACB , and the angle con to the angle BCE .
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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 |