The Elements of Euclid, Bøker 1-6;Bok 11J.M. Dent & Sons, Limited, 1933 - 298 sider |
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Side 43
... parallelogram shall be double of the triangle . Let the parallelogram ABCD and the triangle EBC be on the same base BC , and between the same parallels BC , AE : the parallelogram ABCD shall be double of tho triangle EBC . Join AC ...
... parallelogram shall be double of the triangle . Let the parallelogram ABCD and the triangle EBC be on the same base BC , and between the same parallels BC , AE : the parallelogram ABCD shall be double of tho triangle EBC . Join AC ...
Side 192
... parallelogram AB is to the parallelogram FE , [ VI . 1 . and that GB is to BF as the parallelogram BC is to the parallelogram FE ; [ VI . 1 . therefore the parallelogram AB is to the parallelogram FE as the parallelogram BC is to the ...
... parallelogram AB is to the parallelogram FE , [ VI . 1 . and that GB is to BF as the parallelogram BC is to the parallelogram FE ; [ VI . 1 . therefore the parallelogram AB is to the parallelogram FE as the parallelogram BC is to the ...
Side 206
Euclid Isaac Todhunter, Robert Simson. Let the parallelogram AC be equiangular to the paral- lelogram CF , having the angle BCD equal to the angle ECG : the parallelogram AC shall have to the parallelo- gram CF the ratio which is ...
Euclid Isaac Todhunter, Robert Simson. Let the parallelogram AC be equiangular to the paral- lelogram CF , having the angle BCD equal to the angle ECG : the parallelogram AC shall have to the parallelo- gram CF the ratio which is ...
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Vanlige uttrykk og setninger
ABCD AC is equal adjacent angles angle ABC angle ACB angle BAC angle DEF angle EDF angles equal Axiom base BC bisected centre circle ABC circumference Constr Construction Corollary Definition 15 demonstration diameter double draw equal angles equal to F equiangular equimultiples Euclid Euclid's Elements exterior angle fourth given circle given straight line gnomon greater ratio greater than F Hypothesis less Let ABC Let the straight meet multiple opposite angle parallel to BC parallelogram perpendicular polygon produced proportionals PROPOSITION 13 Q.E.D. PROPOSITION rectangle contained remaining angle right angles segment shewn sides similar and similarly Simson square described square on AC straight line &c straight line AB THEOREM tiples touches the circle triangle ABC triangle DEF twice the rectangle Wherefore