The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate |
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Side 46
To describe a square upon a given straight line . Let AB be the given straight line ; it is required to describe a square upon a B. From the point a draw ( 1. 11. ) AC at right angles to AB ; and make ( 1. 3. ) ...
To describe a square upon a given straight line . Let AB be the given straight line ; it is required to describe a square upon a B. From the point a draw ( 1. 11. ) AC at right angles to AB ; and make ( 1. 3. ) ...
Side 47
the square BDEC , and on BA , AC the squares GB , HC ; and through a draw ( 1. 31. ) AL parallel to BD or CE , and join AD , FC ; then , because each of the angles BAC , BAG is a right angle ( Def . 30. ) , the two straight lines AC ...
the square BDEC , and on BA , AC the squares GB , HC ; and through a draw ( 1. 31. ) AL parallel to BD or CE , and join AD , FC ; then , because each of the angles BAC , BAG is a right angle ( Def . 30. ) , the two straight lines AC ...
Side 48
... between the same parallels , BD , AL ; and the square ' GB is double of the triangle FBC , because these also are upon ... and the squares GB , Hc upon BA , AC : Wherefore the square upon the side bc is equal to the squares upon the ...
... between the same parallels , BD , AL ; and the square ' GB is double of the triangle FBC , because these also are upon ... and the squares GB , Hc upon BA , AC : Wherefore the square upon the side bc is equal to the squares upon the ...
Side 49
If the square described upon BC , one of the sides of the triangle ABC , be equal to the squares upon the other sides BA , AC , the angle Bac is a right angle . From the point a draw ( 1. 11. ) AD at right angles to AC , and make an ...
If the square described upon BC , one of the sides of the triangle ABC , be equal to the squares upon the other sides BA , AC , the angle Bac is a right angle . From the point a draw ( 1. 11. ) AD at right angles to AC , and make an ...
Side 51
Let the straight line AB be divided into any two parts in the point c ; the rectangle contained by A B , BC , together with the rectangle * A B , AC , shall be equal to the square of A B. Upon AB describe ( 1. 46. ) the square ADE B ...
Let the straight line AB be divided into any two parts in the point c ; the rectangle contained by A B , BC , together with the rectangle * A B , AC , shall be equal to the square of A B. Upon AB describe ( 1. 46. ) the square ADE B ...
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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 |