The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate |
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Side 47
therefore each of the opposite angles A BE , BED is a right angle ; wherefore the figure ADEB is rectangular , and it ... side subtending the right angle , is equal to the squares described upon the sides which contain the right angle .
therefore each of the opposite angles A BE , BED is a right angle ; wherefore the figure ADEB is rectangular , and it ... side subtending the right angle , is equal to the squares described upon the sides which contain the right angle .
Side 50
I. EVERY right angled parallelogram is said to be contained by any two of the straight lines which contain one of the ... If there be two straight lines , one of which is divided into any number of parts ; the rectangle contained by the ...
I. EVERY right angled parallelogram is said to be contained by any two of the straight lines which contain one of the ... If there be two straight lines , one of which is divided into any number of parts ; the rectangle contained by the ...
Side 51
DK , EL , ch parallel to Bg ; then the rectangle bu is equal to the rectangles EK , DL , EH ; and Bh is contained by A , BC , for it is contained by G B , BC , and GB is equal to A ; and BK is contained by A , BD , for it is contained ...
DK , EL , ch parallel to Bg ; then the rectangle bu is equal to the rectangles EK , DL , EH ; and Bh is contained by A , BC , for it is contained by G B , BC , and GB is equal to A ; and BK is contained by A , BD , for it is contained ...
Side 52
equal to AB ; therefore the rectangle contained by A B , AC together with the rectangle A B , BC , is equal to the square of A B. If therefore a straight line , & c . Q.E.D. с B PROP . III . THEOR . If a straight line be divided into ...
equal to AB ; therefore the rectangle contained by A B , AC together with the rectangle A B , BC , is equal to the square of A B. If therefore a straight line , & c . Q.E.D. с B PROP . III . THEOR . If a straight line be divided into ...
Side 53
D F E G K of AC , BC , together with twice the rectangle contained by AC , CB . Upon A B describe ( 1. 46. ) the square ADE B , and join BD , and through c draw ( 1. 31. ) CGF parallel to AD or BE , and through a draw HK parallel to AB ...
D F E G K of AC , BC , together with twice the rectangle contained by AC , CB . Upon A B describe ( 1. 46. ) the square ADE B , and join BD , and through c draw ( 1. 31. ) CGF parallel to AD or BE , and through a draw HK parallel to AB ...
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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 |