The first six books of the Elements of Euclid, with numerous exercisesIngram, Cooke, 1853 - 147 σελίδες |
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Σελίδα
... by notes , as it will be followed by other works carrying the subject forward . A number of Exercises on each book have been given , the solu- tions of which will be published separately . CONTENTS . PAGE BOOK I. Definitions , & c .
... by notes , as it will be followed by other works carrying the subject forward . A number of Exercises on each book have been given , the solu- tions of which will be published separately . CONTENTS . PAGE BOOK I. Definitions , & c .
Σελίδα
... Definitions Propositions Exercises III . Definitions Propositions Exercises IV . Definitions Propositions Exercises 1 4 33 35 35 46 47 48 73 75 . 76 87 V. Definitions 89 Propositions 91 Exercises 115 VI . Definitions 116 Propositions ...
... Definitions Propositions Exercises III . Definitions Propositions Exercises IV . Definitions Propositions Exercises 1 4 33 35 35 46 47 48 73 75 . 76 87 V. Definitions 89 Propositions 91 Exercises 115 VI . Definitions 116 Propositions ...
Σελίδα 1
... angle , that is , at the point in which the straight lines that contain the angle meet one another , is put between the other two letters , and one of B these two is somewhere upon one of those straight lines Definitions, &c.
... angle , that is , at the point in which the straight lines that contain the angle meet one another , is put between the other two letters , and one of B these two is somewhere upon one of those straight lines Definitions, &c.
Σελίδα 3
... these are called trape- ziums . XXXV . Parallel straight lines are such as are in the same plane , and which , being produced ever so far both ways , do not meet . POSTULATES . I. Let it be granted that a straight DEFINITIONS . 3.
... these are called trape- ziums . XXXV . Parallel straight lines are such as are in the same plane , and which , being produced ever so far both ways , do not meet . POSTULATES . I. Let it be granted that a straight DEFINITIONS . 3.
Σελίδα 34
... given parallelo- gram , the diameters of all the figures shall cut one another in the same point . 26. In a parallelogram the diameters bisect each other . BOOK II . DEFINITIONS . I. EVERY right - angled 34 THE ELEMENTS OF EUCLID .
... given parallelo- gram , the diameters of all the figures shall cut one another in the same point . 26. In a parallelogram the diameters bisect each other . BOOK II . DEFINITIONS . I. EVERY right - angled 34 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