The first six books of the Elements of Euclid, with numerous exercises |
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Αποτελέσματα 1 - 5 από τα 82.
Σελίδα 2
A diameter of a circle is a straight line drawn through the centre , and terminated both ways by the circumference . XVIII . A semicircle is the figure contained by a diameter and the part of the circumference cut off by the diameter .
A diameter of a circle is a straight line drawn through the centre , and terminated both ways by the circumference . XVIII . A semicircle is the figure contained by a diameter and the part of the circumference cut off by the diameter .
Σελίδα 4
POSTULATES . a I. Let it be granted that a straight line may be drawn from any one point to any other point . II . That a terminated straight line may be produced to any length in a straight line . III .
POSTULATES . a I. Let it be granted that a straight line may be drawn from any one point to any other point . II . That a terminated straight line may be produced to any length in a straight line . III .
Σελίδα 5
From a given point to draw a straight line equal to a given straight line . LET a be the given point , and bc the given straight line ; it is required to draw from the point a a straight line equal to bc . From the point a to b draw ( 1 ...
From a given point to draw a straight line equal to a given straight line . LET a be the given point , and bc the given straight line ; it is required to draw from the point a a straight line equal to bc . From the point a to b draw ( 1 ...
Σελίδα 10
PROBLEM . a To draw a straight line at right angles to a given straight line , from a given point in the same . LET a b be a given straight line , and c a point given in it ; it is required to draw a straight line from the point c at ...
PROBLEM . a To draw a straight line at right angles to a given straight line , from a given point in the same . LET a b be a given straight line , and c a point given in it ; it is required to draw a straight line from the point c at ...
Σελίδα 11
To draw a straight line perpendicular to a given straight line of an unlimited length , from a given point without it . 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 ...
To draw a straight line perpendicular to a given straight line of an unlimited length , from a given point without it . 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 ...
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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