The Elements of EuclidLongmans, Green and Company, 1866 - 376 páginas |
Dentro del libro
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Página 6
... draw the straight lines CA , CB to the points A , B ( Post . 1 ) : ABC shall be an equilateral triangle . B E ... draw a straight line equal to a given straight line . Let A be the given point , and BC the given straight line : it is ...
... draw the straight lines CA , CB to the points A , B ( Post . 1 ) : ABC shall be an equilateral triangle . B E ... draw a straight line equal to a given straight line . Let A be the given point , and BC the given straight line : it is ...
Página 7
... draw the straight line AD equal to C ( 1. 2 ) ; and from the centre A , at the distance AD , de- scribe the circle DEF . D E. B Then , because A is the centre of the circle DEF , AE is equal to AD : But the straight line C is likewise ...
... draw the straight line AD equal to C ( 1. 2 ) ; and from the centre A , at the distance AD , de- scribe the circle DEF . D E. B Then , because A is the centre of the circle DEF , AE is equal to AD : But the straight line C is likewise ...
Página 14
... draw a straight line at right angles to a given straight line from a given point in the same . Let AB be the given straight line , and C a given point in it it is required to draw from the point C a straight line at right angles to AB ...
... draw a straight line at right angles to a given straight line from a given point in the same . Let AB be the given straight line , and C a given point in it it is required to draw from the point C a straight line at right angles to AB ...
Página 15
... draw BE at right angles to AB : Then , because ABC is a straight line , the angle CBE is equal to the angle EBA ... draw a straight line , perpendicular to a given straight line of unlimited length , from a given point without it . Let ...
... draw BE at right angles to AB : Then , because ABC is a straight line , the angle CBE is equal to the angle EBA ... draw a straight line , perpendicular to a given straight line of unlimited length , from a given point without it . Let ...
Página 45
... draw AC at right angles to AB ( 1. 11 ) ; make AD equal to AB , and through the point D draw DE parallel to AB , and through B draw BE parallel to AD . E Then ADEB is a parallelogram , and therefore AB is equal to DE , and AD to BE ...
... draw AC at right angles to AB ( 1. 11 ) ; make AD equal to AB , and through the point D draw DE parallel to AB , and through B draw BE parallel to AD . E Then ADEB is a parallelogram , and therefore AB is equal to DE , and AD to BE ...
Términos y frases comunes
AB² ABCD AC² AD² adjacent angles angle ABC angle ACB angle BAC angle equal base BC BC is equal centre chord circle ABC circumference diameter double draw equal angles equal to F equiangular equilateral triangle equimultiples exterior angle fore given circle given line given point given rectilineal given straight line gnomon hypotenuse inscribed intersection isosceles triangle join less Let ABC lines be drawn lines drawn meet multiple opposite angles parallel to BC parallelogram perpendicular plane polygon PROB produced proportionals Q. E. D. PROP rectangle contained rectilineal figure remaining angle right angles segment semicircle shew shewn square on AC tangents THEOR touches the circle triangle ABC twice the rectangle vertex Wherefore