The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate |
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Side 3
Quadrilateral , by four straight lines . XXIII . Multilateral figures , or polygons , by more than four straight lines . XXIV . Of three - sided figures , an equilateral triangle is that which has three ...
Quadrilateral , by four straight lines . XXIII . Multilateral figures , or polygons , by more than four straight lines . XXIV . Of three - sided figures , an equilateral triangle is that which has three ...
Side 4
Of four - sided figures , a square is that which has all its sides equal , and all its angles right angles . XXXI . An oblong , is that which has all its angles right angles , but has not all its sides equal .
Of four - sided figures , a square is that which has all its sides equal , and all its angles right angles . XXXI . An oblong , is that which has all its angles right angles , but has not all its sides equal .
Side 5
All other four - sided figures besides these , are called trapeziums . XXXV . Parallel straight lines are such as are in the same plane , and which , being produced ever so far both ways , do not meet . POSTULATES .
All other four - sided figures besides these , are called trapeziums . XXXV . Parallel straight lines are such as are in the same plane , and which , being produced ever so far both ways , do not meet . POSTULATES .
Side 20
From this it is manifest , that , if two straight lines cut one another , the angles they make at the point where they cut , are together equal to four right angles . COR . 2. And consequently that all the angles made by any number of ...
From this it is manifest , that , if two straight lines cut one another , the angles they make at the point where they cut , are together equal to four right angles . COR . 2. And consequently that all the angles made by any number of ...
Side 34
All the interior angles of any rectilineal figure , together with four right angles , are equal to twice as many right angles as the figure has sides . For any rectilineal figure ABCDE can be divided into as many triangles as the figure ...
All the interior angles of any rectilineal figure , together with four right angles , are equal to twice as many right angles as the figure has sides . For any rectilineal figure ABCDE can be divided into as many triangles as the figure ...
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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 |