The first six books of the Elements of Euclid, with numerous exercises |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 32.
Σελίδα 1
I. A POINT is that which hath no parts , or which hath no magnitude . II . A line is length without breadth . III . The extremities of a line are points . IV . A straight line is that which lies evenly between its extreme points .
I. A POINT is that which hath no parts , or which hath no magnitude . II . A line is length without breadth . III . The extremities of a line are points . IV . A straight line is that which lies evenly between its extreme points .
Σελίδα 4
Magnitudes which coincide with one another , that is , which exactly fill the same space , are equal to one another . * IX . The whole is greater than its part . X. Two straight lines cannot enclose a space . XI .
Magnitudes which coincide with one another , that is , which exactly fill the same space , are equal to one another . * IX . The whole is greater than its part . X. Two straight lines cannot enclose a space . XI .
Σελίδα 88
... 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 . a a NAAANAAAA BOOK V. DEFINITIONS . a I. A LESS magnitude is 88 THE ELEMENTS OF EUCLID .
... 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 . a a NAAANAAAA BOOK V. DEFINITIONS . a I. A LESS magnitude is 88 THE ELEMENTS OF EUCLID .
Σελίδα 89
BOOK V. DEFINITIONS . a I. A LESS magnitude is said to be a part of a greater magnitude , when the less measures the greater ... Ratio is a mutual relation of two magnitudes of the same kind to one another , in respect of quantity .
BOOK V. DEFINITIONS . a I. A LESS magnitude is said to be a part of a greater magnitude , when the less measures the greater ... Ratio is a mutual relation of two magnitudes of the same kind to one another , in respect of quantity .
Σελίδα 90
a third , and of the ratio which the third has to the fourth , and so on unto the last magnitude . For example , if a , b , c , d be four magnitudes of the same kind , the first is said to have to the last d the ratio compounded of the ...
a third , and of the ratio which the third has to the fourth , and so on unto the last magnitude . For example , if a , b , c , d be four magnitudes of the same kind , the first is said to have to the last d the ratio compounded of the ...
Τι λένε οι χρήστες - Σύνταξη κριτικής
Δεν εντοπίσαμε κριτικές στις συνήθεις τοποθεσίες.
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
a b c angle a b c angle bac base base bc bc is equal bisected centre circle circumference common compounded definition demonstrated describe diameter divided double draw equal angles equal to f equiangular equilateral equimultiples exterior angle extremity fall fore four fourth given straight line greater half ILLUSTRATED inscribe join less likewise magnitudes manner meet multiple parallel parallelogram pass perpendicular produced proportionals PROPOSITION ratio reason rectangle contained rectilineal figure remaining angle right angles segment shewn sides similar square square of a c straight line a b Take taken third touches the circle triangle triangle a b c wherefore whole