The Elements of Euclid, Bøker 1-6;Bok 11J.M. Dent & Sons, Limited, 1933 - 298 sider |
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Side xiv
... Elements of Euclid , it will be proper to give some account of the plan on which it has been arranged , and of the ... Elements of Euclid ; for nearly every official programme of instruction or examination explicitly includes some ...
... Elements of Euclid , it will be proper to give some account of the plan on which it has been arranged , and of the ... Elements of Euclid ; for nearly every official programme of instruction or examination explicitly includes some ...
Side 250
... Elements of Euclid consists of thirteen books ; two other books have sometimes been added , of which it is supposed that Hypsicles was the author . Besides the Elements , Euclid was the author of other works , some of which have been ...
... Elements of Euclid consists of thirteen books ; two other books have sometimes been added , of which it is supposed that Hypsicles was the author . Besides the Elements , Euclid was the author of other works , some of which have been ...
Side 279
... Elements is on Proportion . Much has been written respecting Euclid's treatment of this subject ; besides the Commentaries on the Elements to which we have already referred , the student may consult the articles Ratio and Proportion in ...
... Elements is on Proportion . Much has been written respecting Euclid's treatment of this subject ; besides the Commentaries on the Elements to which we have already referred , the student may consult the articles Ratio and Proportion in ...
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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