The first six books of the Elements of Euclid, with numerous exercisesIngram, Cooke, 1853 - 147 σελίδες |
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Σελίδα 23
... base ac is equal ( i . 4 ) to the base bd , and the triangle abc to the triangle bcd , and the other angles to the other angles , ( i . 4 ) each to each , to which the equal sides are opposite ; therefore the angle a cb is equal to the ...
... base ac is equal ( i . 4 ) to the base bd , and the triangle abc to the triangle bcd , and the other angles to the other angles , ( i . 4 ) each to each , to which the equal sides are opposite ; therefore the angle a cb is equal to the ...
Σελίδα 24
... base , and between the same parallels , are equal to one another . LET the parallelograms abcd , ebcf ( see the second figure ) be upon the same base bc , and between the same parallels af , bc ; the parallelogram abcd shall be equal to ...
... base , and between the same parallels , are equal to one another . LET the parallelograms abcd , ebcf ( see the second figure ) be upon the same base bc , and between the same parallels af , bc ; the parallelogram abcd shall be equal to ...
Σελίδα 25
... base , & c . Q. E. D. There- PROPOSITION XXXVI . THEOREM . Parallelograms upon equal bases , and between the same parallels , are equal to one another . LET abcd , efgh , be paral- lelograms upon equal bases bc , fg , and between the ...
... base , & c . Q. E. D. There- PROPOSITION XXXVI . THEOREM . Parallelograms upon equal bases , and between the same parallels , are equal to one another . LET abcd , efgh , be paral- lelograms upon equal bases bc , fg , and between the ...
Σελίδα 26
... base bc , and between the same parallels bc , ef ; and the triangle abc is the half of the parallelogram ebca ... base , and upon the same side of it , are between the same parallels . LET the equal triangles abc , dbc be upon the same ...
... base bc , and between the same parallels bc , ef ; and the triangle abc is the half of the parallelogram ebca ... base , and upon the same side of it , are between the same parallels . LET the equal triangles abc , dbc be upon the same ...
Σελίδα 27
... base bc , and between the same parallels bc , ae . But the tri- angle abc is equal to the triangle bdc , therefore ... base and between the same parallels , the parallelogram shall be double of the triangle . LET the parallelogram abcd ...
... base bc , and between the same parallels bc , ae . But the tri- angle abc is equal to the triangle bdc , therefore ... base and between the same parallels , the parallelogram shall be double of the triangle . LET the parallelogram abcd ...
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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