The first six books of the Elements of Euclid, with numerous exercisesIngram, Cooke, 1853 - 147 σελίδες |
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Αποτελέσματα 6 - 10 από τα 24.
Σελίδα 35
... , de , because dk , that is ( i . 34 ) bg is equal to a ; and in like manner the rectangle eh is contained by a , e c . Therefore the rectangle contained fl by a , bc , is equal to the several BOOK II . PROP . I. 35 Definitions ...
... , de , because dk , that is ( i . 34 ) bg is equal to a ; and in like manner the rectangle eh is contained by a , e c . Therefore the rectangle contained fl by a , bc , is equal to the several BOOK II . PROP . I. 35 Definitions ...
Σελίδα 46
... angles , four times the sum of the squares of these lines shall be equal to three times the sum of the squares of the three sides of the triangle . BOOK III . DEFINITIONS . I. EQUAL circles are those 46 THE ELEMENTS OF EUCLID . Exercises.
... angles , four times the sum of the squares of these lines shall be equal to three times the sum of the squares of the three sides of the triangle . BOOK III . DEFINITIONS . I. EQUAL circles are those 46 THE ELEMENTS OF EUCLID . Exercises.
Σελίδα 47
... definition , but a theorem , the truth of which is evident ; for , if the circles be applied to one another , so ... DEFINITIONS , Definitions.
... definition , but a theorem , the truth of which is evident ; for , if the circles be applied to one another , so ... DEFINITIONS , Definitions.
Σελίδα 48
... Definitions VIII . and IX . X. The sector of a circle is the figure contained by two straight lines drawn from the ... Definition XI . PROPOSITION I. - PROBLEM . To find the centre of a given circle . LET abc be the given circle ; it ...
... Definitions VIII . and IX . X. The sector of a circle is the figure contained by two straight lines drawn from the ... Definition XI . PROPOSITION I. - PROBLEM . To find the centre of a given circle . LET abc be the given circle ; it ...
Σελίδα 74
... If two circles cut each other , the straight line which joins their centres will bisect the straight line which joins the points of intersection . BOOK IV . DEFINITIONS . I. A RECTILINEAL figure is 74 THE ELEMENTS OF EUCLID .
... If two circles cut each other , the straight line which joins their centres will bisect the straight line which joins the points of intersection . BOOK IV . DEFINITIONS . I. A RECTILINEAL figure is 74 THE ELEMENTS OF EUCLID .
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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