The first six books of the Elements of Euclid, with numerous exercisesIngram, Cooke, 1853 - 147 σελίδες |
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Αποτελέσματα 6 - 10 από τα 48.
Σελίδα 11
... 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 . Take any point d upon the other side of a b , and from the centre c , at the distance cd ...
... 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 . Take any point d upon the other side of a b , and from the centre c , at the distance cd ...
Σελίδα 13
... produced , the exterior angle is greater than either of the interior opposite angles . LET a b c be a triangle , and let its side b c be produced to d , the exterior angle a cd is greater than either of the interior opposite angles cba ...
... produced , the exterior angle is greater than either of the interior opposite angles . LET a b c be a triangle , and let its side b c be produced to d , the exterior angle a cd is greater than either of the interior opposite angles cba ...
Σελίδα 14
... Produce ba to the point d , and make ( i . 3 ) a d equal to ac ; and join dc . Because da is equal to a c , the angle a dc is likewise equal to a c d ( i . 5 ) ; but the angle bcd is greater than the angle acd ; therefore the angle op ...
... Produce ba to the point d , and make ( i . 3 ) a d equal to ac ; and join dc . Because da is equal to a c , the angle a dc is likewise equal to a c d ( i . 5 ) ; but the angle bcd is greater than the angle acd ; therefore the angle op ...
Σελίδα 15
... Produce bd to e ; and because two sides of a triangle are greater than the third side , the two sides ba , a e , of the triangle abe are greater than be . To each of these add ec ; there- fore the sides ba , ac are greater than be , ec ...
... Produce bd to e ; and because two sides of a triangle are greater than the third side , the two sides ba , a e , of the triangle abe are greater than be . To each of these add ec ; there- fore the sides ba , ac are greater than be , ec ...
Σελίδα 20
... produced do not meet towards b , d . In like manner it may be demonstrated , that they do not meet towards a , c , but those straight lines which meet neither way , though produced ever so far , are parallel ( 35 def . ) to one another ...
... produced do not meet towards b , d . In like manner it may be demonstrated , that they do not meet towards a , c , but those straight lines which meet neither way , though produced ever so far , are parallel ( 35 def . ) to one another ...
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a b c abcd adjacent angles angle a cb angle abc angle bac angle edf angle equal base bc bc is equal bisected centre circle abc circumference bc describe diameter double draw equal angles equal straight lines equal to f equimultiples ex æquali exterior angle fore four magnitudes fourth given circle given straight line gnomon greater ratio greater than f inscribe less LET abc LET the straight likewise multiple opposite angle parallel parallelogram perpendicular produced Q. E. D. PROPOSITION rectangle a d rectangle contained remaining angle right angles segment semicircle shewn square of a c straight line a b straight line ab straight line bc tiple touches the circle triangle abc triangle def twice the rectangle