The first six books of the Elements of Euclid, with numerous exercisesIngram, Cooke, 1853 - 147 σελίδες |
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Σελίδα 2
... which are contained by straight lines . XXI . Trilateral figures , or triangles , by three straight lines . XXII . Quadrilateral , by four straight lines . XXIII . Multilateral figures , or polygons , by more 2 THE ELEMENTS OF EUCLID .
... which are contained by straight lines . XXI . Trilateral figures , or triangles , by three straight lines . XXII . Quadrilateral , by four straight lines . XXIII . Multilateral figures , or polygons , by more 2 THE ELEMENTS OF EUCLID .
Σελίδα 3
... four - sided figures , a square is that which has all its sides equal , and all its angles right angles . Square ... four - sided figures besides these are called trape- ziums . XXXV . Parallel straight lines are such as are in the same ...
... four - sided figures , a square is that which has all its sides equal , and all its angles right angles . Square ... four - sided figures besides these are called trape- ziums . XXXV . Parallel straight lines are such as are in the same ...
Σελίδα 13
... four right angles . COR . 2. And consequently that all the angles made by any number of lines meeting in one point , are together equal to four right angles . PROPOSITION XVI . - THEOREM . If one side of a triangle be produced , the ...
... four right angles . COR . 2. And consequently that all the angles made by any number of lines meeting in one point , are together equal to four right angles . PROPOSITION XVI . - THEOREM . If one side of a triangle be produced , the ...
Σελίδα 22
... equal to two right angles . Wherefore , if a side of a triangle , & c . Q. E. D. COR . 1. All the interior angles of any rectilineal figure , together with four right angles , are equal to twice as many 22 THE ELEMENTS OF EUCLID .
... equal to two right angles . Wherefore , if a side of a triangle , & c . Q. E. D. COR . 1. All the interior angles of any rectilineal figure , together with four right angles , are equal to twice as many 22 THE ELEMENTS OF EUCLID .
Σελίδα 23
... four right angles . Therefore all the angles of the figure , together with four right angles , are equal to twice as many right angles as the figure has sides . a h COR . 2. All the exterior angles of any rectilineal figure are together ...
... four right angles . Therefore all the angles of the figure , together with four right angles , are equal to twice as many right angles as the figure has sides . a h COR . 2. All the exterior angles of any rectilineal figure are together ...
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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