The first six books of the Elements of Euclid, with numerous exercisesIngram, Cooke, 1853 - 147 σελίδες |
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Σελίδα 2
... segment of a circle is the figure contained by a straight line , and the circumference it cuts off . XX . Rectilineal figures , are those which are contained by straight lines . XXI . Trilateral figures , or triangles , by three ...
... segment of a circle is the figure contained by a straight line , and the circumference it cuts off . XX . Rectilineal figures , are those which are contained by straight lines . XXI . Trilateral figures , or triangles , by three ...
Σελίδα 10
... segment . If it be possible , let the two straight lines abc , abd have the seg- ment ab common to both of them . From the point b draw be at right angles to ab ; and because abc is a straight line , the angle cbe is equal ( 10 def ...
... segment . If it be possible , let the two straight lines abc , abd have the seg- ment ab common to both of them . From the point b draw be at right angles to ab ; and because abc is a straight line , the angle cbe is equal ( 10 def ...
Σελίδα 46
... segments of the base , is equal to the square described upon either of the equal sides . 6. The difference between the squares of two unequal straight lines is equal to the rectangle contained by their sum and difference . 7. If a ...
... segments of the base , is equal to the square described upon either of the equal sides . 6. The difference between the squares of two unequal straight lines is equal to the rectangle contained by their sum and difference . 7. If a ...
Σελίδα 47
... segment of a circle is the figure contained by a straight line and the circumference it cuts off . Definition VI . VII . The angle of a segment is that which BOOK III . DEFINITIONS , Definitions.
... segment of a circle is the figure contained by a straight line and the circumference it cuts off . Definition VI . VII . The angle of a segment is that which BOOK III . DEFINITIONS , Definitions.
Σελίδα 48
... segment is the angle contained by two straight lines drawn from any point in the circumference of the segment to the extremities of the straight line which is the base of the segment . IX . And an angle is said to insist or stand upon ...
... segment is the angle contained by two straight lines drawn from any point in the circumference of the segment to the extremities of the straight line which is the base of the segment . IX . And an angle is said to insist or stand upon ...
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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