The first six books of the Elements of Euclid, with numerous exercisesIngram, Cooke, 1853 - 147 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 13.
Σελίδα 6
... edf , the base bc shall be equal to the base ef ; and the triangle abc to the triangle def ; and the other angles to ... angle a cb to dfe . Therefore , if two triangles have two sides of the one equal to two sides of the other , each to ...
... edf , the base bc shall be equal to the base ef ; and the triangle abc to the triangle def ; and the other angles to ... angle a cb to dfe . Therefore , if two triangles have two sides of the one equal to two sides of the other , each to ...
Σελίδα 17
... angle dce is equal ( i . 8 ) to the angle fag . Therefore , at the given point a in the given straight line a b ... edf ; the base bc is also greater than the base ef . Of the two sides de , df , let de be the side which is not greater ...
... angle dce is equal ( i . 8 ) to the angle fag . Therefore , at the given point a in the given straight line a b ... edf ; the base bc is also greater than the base ef . Of the two sides de , df , let de be the side which is not greater ...
Σελίδα 18
... angle ed f . For , if it be not greater , it must either be equal to it , or less ; but the angle bac is not equal ... edf ; neither is it less : because then the base bc would be less ( i . 24 ) than the base ef ; but it is not ...
... angle ed f . For , if it be not greater , it must either be equal to it , or less ; but the angle bac is not equal ... edf ; neither is it less : because then the base bc would be less ( i . 24 ) than the base ef ; but it is not ...
Σελίδα 19
... angles ; wherefore the base a c is equal to the base df , and the third angle bac to the third angle edf . Therefore , if two triangles , & c . Q. E. D. PROPOSITION XXVII . - THEOREM . If a straight line falling upon two other straight ...
... angles ; wherefore the base a c is equal to the base df , and the third angle bac to the third angle edf . Therefore , if two triangles , & c . Q. E. D. PROPOSITION XXVII . - THEOREM . If a straight line falling upon two other straight ...
Σελίδα 59
... angle a straight line makes with the diameter at the point a , or however small an angle it makes with a e , the ... edf : g c is a right angle , wherefore eba is a right angle ; and eb is drawn from the centre but a straight line drawn ...
... angle a straight line makes with the diameter at the point a , or however small an angle it makes with a e , the ... edf : g c is a right angle , wherefore eba is a right angle ; and eb is drawn from the centre but a straight line drawn ...
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