The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate |
Inni boken
Resultat 1-5 av 12
Side 52
equal to AB ; therefore the rectangle contained by A B , AC together with the rectangle A B , BC , is equal to the ... the whole line is equal to the squares of the two parts , together with twice the rectangle contained by the parts .
equal to AB ; therefore the rectangle contained by A B , AC together with the rectangle A B , BC , is equal to the ... the whole line is equal to the squares of the two parts , together with twice the rectangle contained by the parts .
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 ...
Side 54
is the square of AB : Therefore the square of AB is equal to the squares of AC , CB and twice the rectangle AC , CB . Wherefore if a straight line , & c . Q. E. D. Cor . From the demonstration , it is manifest that the parallelograms ...
is the square of AB : Therefore the square of AB is equal to the squares of AC , CB and twice the rectangle AC , CB . Wherefore if a straight line , & c . Q. E. D. Cor . From the demonstration , it is manifest that the parallelograms ...
Side 56
If a straight line be divided into any two parts , the squares of the whole line , and one of the parts , are equal to twice the rectangle contained by the whole and that part , together with the square of the other part .
If a straight line be divided into any two parts , the squares of the whole line , and one of the parts , are equal to twice the rectangle contained by the whole and that part , together with the square of the other part .
Side 57
rectangle A B , CB ; To each of these equals add A F , which is equal to the square of AC ; therefore the gnomon A K F , together with the squares CK , HF , is equal to twice the rectangle A B , BC , and the square of Ac : But the ...
rectangle A B , CB ; To each of these equals add A F , which is equal to the square of AC ; therefore the gnomon A K F , together with the squares CK , HF , is equal to twice the rectangle A B , BC , and the square of Ac : But the ...
Hva folk mener - Skriv en omtale
Vi har ikke funnet noen omtaler på noen av de vanlige stedene.
Andre utgaver - Vis alle
The first three books of Euclid's Elements of geometry, with theorems and ... Euclid,Thomas Tate Uten tilgangsbegrensning - 1849 |
The First Three Books of Euclid's Elements of Geometry from the Text of Dr ... Euclid,Thomas Tate Ingen forhåndsvisning tilgjengelig - 2014 |
The First Three Books of Euclid's Elements of Geometry from the Text of Dr ... Euclid,Thomas Tate Ingen forhåndsvisning tilgjengelig - 2014 |
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 |