The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate |
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Resultat 1-5 av 30
Side 1
“ A plane angle is the inclination of two lines to one another in a plane , which meet together , but are not in the same direction . ” IX . A plane rectilineal angle is the inclination of two straight lines to one another , which meet ...
“ A plane angle is the inclination of two lines to one another in a plane , which meet together , but are not in the same direction . ” IX . A plane rectilineal angle is the inclination of two straight lines to one another , which meet ...
Side 2
... at the point in which the straight lines that contain the angle meet one another , is put between the other two letters , and one of these two is somewhere upon one of those straight lines , and the other upon the other line : Thus ...
... at the point in which the straight lines that contain the angle meet one another , is put between the other two letters , and one of these two is somewhere upon one of those straight lines , and the other upon the other line : Thus ...
Side 5
Parallel straight lines are such as are in the same plane , and which , being produced ever so far both ways , do not meet . POSTULATES . I. Let it be granted that a straight line may be drawn from any one point to any other point .
Parallel straight lines are such as are in the same plane , and which , being produced ever so far both ways , do not meet . POSTULATES . I. Let it be granted that a straight line may be drawn from any one point to any other point .
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 straight lines being continually produced , shall at length meet upon that ...
“ 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 straight lines being continually produced , shall at length meet upon that ...
Side 30
which is c impossible : therefore A B and cd being produced do not meet towards B , D. In like manner it may be demonstrated that they do not meet towards AC ; but those straight lines which meet neither way , though produced ever so ...
which is c impossible : therefore A B and cd being produced do not meet towards B , D. In like manner it may be demonstrated that they do not meet towards AC ; but those straight lines which meet neither way , though produced ever so ...
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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 |