The first six books of the Elements of Euclid, with numerous exercisesIngram, Cooke, 1853 - 147 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 39.
Σελίδα 3
... besides 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.
... besides 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 19
... parallel . LET the straight line ef , which falls upon the two straight lines ab , cd , make the alternate angles a ef , efd equal to one another ; a b is parallel to cd . For , if it be not parallel , a b BOOK I. PROP . XXVII . 19.
... parallel . LET the straight line ef , which falls upon the two straight lines ab , cd , make the alternate angles a ef , efd equal to one another ; a b is parallel to cd . For , if it be not parallel , a b BOOK I. PROP . XXVII . 19.
Σελίδα 20
... parallel ( 35 def . ) to one another . ab there- fore is parallel to cd . Wherefore , if a straight line , & c . Q. E. D. PROPOSITION XXVIII . - THEOREM . If a straight line falling upon two other straight lines makes the exterior angle ...
... parallel ( 35 def . ) to one another . ab there- fore is parallel to cd . Wherefore , if a straight line , & c . Q. E. D. PROPOSITION XXVIII . - THEOREM . If a straight line falling upon two other straight lines makes the exterior angle ...
Σελίδα 21
... parallel straight lines a b , cd ; the alternate angles agh , ghd , are equal to one another ; and the exterior angle egb is equal to the interior and opposite , upon the same side ghd ; and the two interior angles bg h , ghd upon the ...
... parallel straight lines a b , cd ; the alternate angles agh , ghd , are equal to one another ; and the exterior angle egb is equal to the interior and opposite , upon the same side ghd ; and the two interior angles bg h , ghd upon the ...
Σελίδα 22
... parallel ( i . 27 ) to bc . Therefore the straight line e af is drawn through the given point a parallel to the given straight line bc . Which was to be done . PROPOSITION XXXII . - THEOREM . If a side of any triangle be produced , the ...
... parallel ( i . 27 ) to bc . Therefore the straight line e af is drawn through the given point a parallel to the given straight line bc . Which was to be done . PROPOSITION XXXII . - THEOREM . If a side of any triangle be produced , the ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
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