The first six books of the Elements of Euclid, with numerous exercisesIngram, Cooke, 1853 - 147 σελίδες |
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Σελίδα 2
... perpendicular to it . XI . An obtuse angle is that which is greater than a right angle . XII . An acute angle is that which is less than a right angle . Obtuse . Acute . XIII . A term or boundary is the extremity of any thing . XIV . A ...
... perpendicular to it . XI . An obtuse angle is that which is greater than a right angle . XII . An acute angle is that which is less than a right angle . Obtuse . Acute . XIII . A term or boundary is the extremity of any thing . XIV . A ...
Σελίδα 11
... perpendicular to ab from the point c . Take any point d upon the other side of a b , and from the centre c , at the distance cd , describe ( 3 post . ) the circle e gf meet- ing a bin f , g ; and bisect ( i . 10 ) fg in h , and join cf ...
... perpendicular to ab from the point c . Take any point d upon the other side of a b , and from the centre c , at the distance cd , describe ( 3 post . ) the circle e gf meet- ing a bin f , g ; and bisect ( i . 10 ) fg in h , and join cf ...
Σελίδα 34
... perpendicular to a given line is the shortest that can be drawn from the point to the line . 17. If a triangle have its exterior angle and one of its opposite interior angles double of those in another triangle , its remaining opposite ...
... perpendicular to a given line is the shortest that can be drawn from the point to the line . 17. If a triangle have its exterior angle and one of its opposite interior angles double of those in another triangle , its remaining opposite ...
Σελίδα 43
... perpendicular falls , and the straight line in- tercepted without the triangle between the perpendicular and the obtuse angle . LET abc be an obtuse - angled triangle , having the obtuse angle acb , and from the point a let ad be drawn ...
... perpendicular falls , and the straight line in- tercepted without the triangle between the perpendicular and the obtuse angle . LET abc be an obtuse - angled triangle , having the obtuse angle acb , and from the point a let ad be drawn ...
Σελίδα 44
... perpendicular ( i . 12 ) ad from the opposite angle : the square of a c , opposite to the angle b , is less than the ... perpendicular to bc ; then is bc the straight line between the perpendicular and the acute angle at b ; and it is ...
... perpendicular ( i . 12 ) ad from the opposite angle : the square of a c , opposite to the angle b , is less than the ... perpendicular to bc ; then is bc the straight line between the perpendicular and the acute angle at b ; and it is ...
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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