The first six books of the Elements of Euclid, with numerous exercisesIngram, Cooke, 1853 - 147 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 34.
Σελίδα 15
... reason , the exterior angle ceb of the triangle abe is greater than bac ; and it has been demonstrated that the angle bdc is greater than the angle ceb ; much greater then is the angle bdc than the angle bac . Therefore , if from the ...
... reason , the exterior angle ceb of the triangle abe is greater than bac ; and it has been demonstrated that the angle bdc is greater than the angle ceb ; much greater then is the angle bdc than the angle bac . Therefore , if from the ...
Σελίδα 24
... ebcf , be not terminated in the same point d ; then , because abcd is a paral- lelogram , ad is equal ( i . 34 ) to bc ; for the same reason ef is equal to bc ; wherefore ad is equal ( 1 ax . 24 THE ELEMENTS OF EUCLID .
... ebcf , be not terminated in the same point d ; then , because abcd is a paral- lelogram , ad is equal ( i . 34 ) to bc ; for the same reason ef is equal to bc ; wherefore ad is equal ( 1 ax . 24 THE ELEMENTS OF EUCLID .
Σελίδα 25
... reason , the parallelogram efgh is equal to the same ebch . Therefore also the parallelogram abcd is equal to efgh Wherefore parallelo- grams , & c . Q. E. D. PROPOSITION XXXVII . - THEOREM . Triangles upon the same base , and between ...
... reason , the parallelogram efgh is equal to the same ebch . Therefore also the parallelogram abcd is equal to efgh Wherefore parallelo- grams , & c . Q. E. D. PROPOSITION XXXVII . - THEOREM . Triangles upon the same base , and between ...
Σελίδα 29
... reason , the triangle kgc is equal to the triangle kfc . Then , because the triangle aek is equal to the triangle ahk , and the triangle kgc to kfc ; the triangle aek , together with the triangle kg c is equal to the triangle ahk ...
... reason , the triangle kgc is equal to the triangle kfc . Then , because the triangle aek is equal to the triangle ahk , and the triangle kgc to kfc ; the triangle aek , together with the triangle kg c is equal to the triangle ahk ...
Σελίδα 31
... reason , a b and a h are in the same straight line ; and because the angle dbc is equal to the angle fba , each of them being a right angle , add to each the angle abc , and the whole angle dba is equal ( 2 ax . ) to the whole fbc ; and ...
... reason , a b and a h are in the same straight line ; and because the angle dbc is equal to the angle fba , each of them being a right angle , add to each the angle abc , and the whole angle dba is equal ( 2 ax . ) to the whole fbc ; and ...
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