The first six books of the Elements of Euclid, with numerous exercisesIngram, Cooke, 1853 - 147 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 15.
Σελίδα 4
... interior angles on the same side of it taken together less than two right angles , these straight lines being continually produced , shall at length meet upon that side on which are the angles which are less than two right angles ...
... interior angles on the same side of it taken together less than two right angles , these straight lines being continually produced , shall at length meet upon that side on which are the angles which are less than two right angles ...
Σελίδα 13
... 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 , bac . Bisect ( i . 10 ) ac in e , join be and produce it ...
... 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 , bac . Bisect ( i . 10 ) ac in e , join be and produce it ...
Σελίδα 14
... interior and opposite angle dcb ; but ad bis equal ( i . 5 ) to a bd , because the side a b is equal to the side ad ; therefore the angle abd is likewise greater than the angle a cb . Much greater then is the angle a bc than a cb ...
... interior and opposite angle dcb ; but ad bis equal ( i . 5 ) to a bd , because the side a b is equal to the side ad ; therefore the angle abd is likewise greater than the angle a cb . Much greater then is the angle a bc than a cb ...
Σελίδα 15
... interior and opposite angle , the exterior angle bdc of the triangle c d e is greater than ced ; for the same reason , the exterior angle ceb of the triangle abe is greater than bac ; and it has been demonstrated that the angle bdc is ...
... interior and opposite angle , the exterior angle bdc of the triangle c d e is greater than ced ; for the same reason , the exterior angle ceb of the triangle abe is greater than bac ; and it has been demonstrated that the angle bdc is ...
Σελίδα 19
... interior and opposite angle bca ; which is impossible ( i . 16 ) ; wherefore bc is not unequal to ef , that is , it is equal to it ; and a b is equal to de ; therefore the two , ab , b c are equal to the two de , ef , each to each ; and ...
... interior and opposite angle bca ; which is impossible ( i . 16 ) ; wherefore bc is not unequal to ef , that is , it is equal to it ; and a b is equal to de ; therefore the two , ab , b c are equal to the two de , ef , each to each ; and ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
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