The Elements of Euclid, Bøker 1-6;Bok 11J.M. Dent & Sons, Limited, 1933 - 298 sider |
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Side 279
... given in the fourth Book of the Elements that the circumference of a circle ... Ratio and Proportion in the English Cyclopædia , and the tract on the ... given in Arithmetic and Algebra to the term aliquot part , or to the term ...
... given in the fourth Book of the Elements that the circumference of a circle ... Ratio and Proportion in the English Cyclopædia , and the tract on the ... given in Arithmetic and Algebra to the term aliquot part , or to the term ...
Side 282
... given by Austin in his Exami- nation of the first six books of Euclid's ... ratio , which he distinguishes by the letters F , G , H , K ; it seems how ... proportion to establish properties of geometrical figures . VI . Def . I. For an ...
... given by Austin in his Exami- nation of the first six books of Euclid's ... ratio , which he distinguishes by the letters F , G , H , K ; it seems how ... proportion to establish properties of geometrical figures . VI . Def . I. For an ...
Side 285
... given ratio . The case in which the straight line is to be divided internally is given in the text ; suppose , for example , that the given ratio is that of AE to EC ; then AB is divided at G in the given ratio . Suppose , however ...
... given ratio . The case in which the straight line is to be divided internally is given in the text ; suppose , for example , that the given ratio is that of AE to EC ; then AB is divided at G in the given ratio . Suppose , however ...
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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