The first six books of the Elements of Euclid, with numerous exercisesIngram, Cooke, 1853 - 147 páginas |
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Página 10
... straight linecd . abis cut into two equal parts in the point d . Because ac is equal to cb , and cd common to the ... LET ab be a given straight line , and ca point given in it ; it is required to draw a straight line from the ...
... straight linecd . abis cut into two equal parts in the point d . Because ac is equal to cb , and cd common to the ... LET ab be a given straight line , and ca point given in it ; it is required to draw a straight line from the ...
Página 11
... LET a b be the given straight line , which may be produced to any length both ways , and let c be a point without it . It is required to draw a straight line perpendicular to ab from the point c . c Take any point d upon the other ...
... LET a b be the given straight line , which may be produced to any length both ways , and let c be a point without it . It is required to draw a straight line perpendicular to ab from the point c . c Take any point d upon the other ...
Página 12
... straight line . a Ar the point b in the straight line ab , let the two straight lines bc , bd upon the opposite sides of ab , make the adjacent angles abc , abd equal together to two right angles , bd is in the same straight line with ...
... straight line . a Ar the point b in the straight line ab , let the two straight lines bc , bd upon the opposite sides of ab , make the adjacent angles abc , abd equal together to two right angles , bd is in the same straight line with ...
Página 13
... straight lines , & c . Q. E. D. COR . 1. From this it is manifest , that , if two straight lines cut one another ... LET abc be a triangle , and let its side bcbe produced to d , the exterior angle acd is greater than either of the ...
... straight lines , & c . Q. E. D. COR . 1. From this it is manifest , that , if two straight lines cut one another ... LET abc be a triangle , and let its side bcbe produced to d , the exterior angle acd is greater than either of the ...
Página 15
... LET the two straight lines bd , cd be drawn from b , c , the ends of the side bc of the triangle abc , to the point ... straight lines , but any two whatever of these must be greater than the third ( i . 20. ) . LET a , b , c be ...
... LET the two straight lines bd , cd be drawn from b , c , the ends of the side bc of the triangle abc , to the point ... straight lines , but any two whatever of these must be greater than the third ( i . 20. ) . LET a , b , c be ...
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Términos y frases comunes
ac is equal adjacent angles alternate angles angle abc angle acb angle bac angle edf angle equal base bc bisected centre circle abc diameter double draw duplicate ratio equal angles equal straight lines equal to f equimultiples ex æquali exterior angle fore four magnitudes fourth given circle given rectilineal figure given straight line gnomon greater ratio greater than f ILLUSTRATED LONDON inscribe less LET abc LET the straight likewise multiple opposite angle parallel parallelogram perpendicular produced Q. E. D. PROPOSITION rectangle contained remaining angle right angles segment semicircle shewn side bc similar and similarly square of ac straight line ab straight line ac straight line drawn THEOREM tiple touches the circle triangle abc triangle def twice the rectangle