The first six books of the Elements of Euclid, with numerous exercisesIngram, Cooke, 1853 - 147 σελίδες |
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Σελίδα 24
... parallelogram a cd b into two equal parts . Q. E. D. PROPOSITION XXXV . - THEOREM . Parallelograms upon the same base , and between the same parallels , are equal to one another . LET the parallelograms abcd , ebcf ( see the second ...
... parallelogram a cd b into two equal parts . Q. E. D. PROPOSITION XXXV . - THEOREM . Parallelograms upon the same base , and between the same parallels , are equal to one another . LET the parallelograms abcd , ebcf ( see the second ...
Σελίδα 25
... parallelogram a bcd is equal to the parallelogram e bcf . fore parallelograms upon the same base , & c . Q. E. D. There- PROPOSITION XXXVI . THEOREM . Parallelograms upon equal bases , and between the same parallels , are equal to one ...
... parallelogram a bcd is equal to the parallelogram e bcf . fore parallelograms upon the same base , & c . Q. E. D. There- PROPOSITION XXXVI . THEOREM . Parallelograms upon equal bases , and between the same parallels , are equal to one ...
Σελίδα 26
... parallelogram ebca , because the diameter a b bisects it ( i . 34 ) ; and the triangle dbc is the half of the parallelogram dbcf , because the diameter dc bisects it : but the halves of equal things are equal ( 7 ax . ) ; therefore the ...
... parallelogram ebca , because the diameter a b bisects it ( i . 34 ) ; and the triangle dbc is the half of the parallelogram dbcf , because the diameter dc bisects it : but the halves of equal things are equal ( 7 ax . ) ; therefore the ...
Σελίδα 27
... parallelogram and triangle be upon the same base and between the same parallels , the parallelogram shall be double of the triangle . LET the parallelogram abcd and the triangle ebc be upon the same a b d base bc , and between the same ...
... parallelogram and triangle be upon the same base and between the same parallels , the parallelogram shall be double of the triangle . LET the parallelogram abcd and the triangle ebc be upon the same a b d base bc , and between the same ...
Σελίδα 28
... parallelogram abcd is double ( i . 34 ) of the triangle abc , because the diameter a c divides it into two equal parts ; wherefore abcd is also double of the triangle e bc . Therefore , if a parallelogram , & c . Q. E. D. PROPOSITION ...
... parallelogram abcd is double ( i . 34 ) of the triangle abc , because the diameter a c divides it into two equal parts ; wherefore abcd is also double of the triangle e bc . Therefore , if a parallelogram , & c . Q. E. D. PROPOSITION ...
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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