The first six books of the Elements of Euclid, with numerous exercisesIngram, Cooke, 1853 - 147 σελίδες |
Αναζήτηση στο βιβλίο
Σελίδα 75
... Definitions I. and II . III . A rectilineal figure is said to be inscribed in a circle , when all the angles of the inscribed figure are upon the circumference of the circle . Definition III . IV . A rectilineal figure is said to be ...
... Definitions I. and II . III . A rectilineal figure is said to be inscribed in a circle , when all the angles of the inscribed figure are upon the circumference of the circle . Definition III . IV . A rectilineal figure is said to be ...
Σελίδα 76
... Definitions VI . and VII . PROPOSITION I. - PROBLEM . In a given circle to place a straight line equal to a given straight line not greater than the diameter of the circle . LET abc be the given circle , and d the given straight line ...
... Definitions VI . and VII . PROPOSITION I. - PROBLEM . In a given circle to place a straight line equal to a given straight line not greater than the diameter of the circle . LET abc be the given circle , and d the given straight line ...
Σελίδα 88
... equal to one half of a side of the other triangle . 12. If a square be inscribed in a circle , it shall be double the square of the radius of the circle . BOOK V. DEFINITIONS . I. A LESS magnitude is said 88 THE ELEMENTS OF EUCLID .
... equal to one half of a side of the other triangle . 12. If a square be inscribed in a circle , it shall be double the square of the radius of the circle . BOOK V. DEFINITIONS . I. A LESS magnitude is said 88 THE ELEMENTS OF EUCLID .
Σελίδα 89
... definition ) , the multiple of the first is greater than that of the second , but the multiple of the third is not ... DEFINITIONS . 89 Definitions.
... definition ) , the multiple of the first is greater than that of the second , but the multiple of the third is not ... DEFINITIONS . 89 Definitions.
Σελίδα 90
... definition , a is said to have to d the ratio compounded of ratios which are the same with the ratios of e to f , g to h , and k to 1. And the same thing is to be understood when it is more briefly expressed by saying , a has to d the ...
... definition , a is said to have to d the ratio compounded of ratios which are the same with the ratios of e to f , g to h , and k to 1. And the same thing is to be understood when it is more briefly expressed by saying , a has to d the ...
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