The first six books of the Elements of Euclid, with numerous exercises |
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Αποτελέσματα 6 - 10 από τα 75.
Σελίδα 10
1 ) upon a b an equilateral triangle a b c , and bisect ( i . 9 ) the angle ac b by the straight line cd . ab is cut into two equal parts in the point d . Because a c is equal to cb , and cd common to the two triangles a cd , bcd ; the ...
1 ) upon a b an equilateral triangle a b c , and bisect ( i . 9 ) the angle ac b by the straight line cd . ab is cut into two equal parts in the point d . Because a c is equal to cb , and cd common to the two triangles a cd , bcd ; the ...
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 ...
Σελίδα 12
If , at a point in a straight line , two other straight lines , upon the opposite sides of it , make the adjacent angles together equal to two right angles , these two straight lines ... At the point b in the straight line a b , let the ...
If , at a point in a straight line , two other straight lines , upon the opposite sides of it , make the adjacent angles together equal to two right angles , these two straight lines ... At the point b in the straight line a b , let the ...
Σελίδα 15
... the sides a b , bc , are greater than ca , and b C bc , ca greater than a b . Therefore any two sides , & c . Q. E. D. & PROPOSITION XXI . — THEOREM . e If from the ends of the side of a triangle there be drawn two straight lines to ...
... the sides a b , bc , are greater than ca , and b C bc , ca greater than a b . Therefore any two sides , & c . Q. E. D. & PROPOSITION XXI . — THEOREM . e If from the ends of the side of a triangle there be drawn two straight lines to ...
Σελίδα 16
Take a straight line de terminated at the point d , but unlimited towards e , and make ( i . ... is required to make an angle at the given point a in the given straight line a b , that shall be equal to the given rectilineal angle dce .
Take a straight line de terminated at the point d , but unlimited towards e , and make ( i . ... is required to make an angle at the given point a in the given straight line a b , that shall be equal to the given rectilineal angle dce .
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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