The Elements of Euclid, Bøker 1-6;Bok 11J.M. Dent & Sons, Limited, 1933 - 298 sider |
Inni boken
Resultat 1-3 av 56
Side 64
... produced , and the square on the part of it produced , are together double of the square on half the line bisected and of the square on the line made up of the half and the part produced . Let the straight line AB be bisected at C , and ...
... produced , and the square on the part of it produced , are together double of the square on half the line bisected and of the square on the line made up of the half and the part produced . Let the straight line AB be bisected at C , and ...
Side 264
... produced ; then the exterior angle at that point is the angle contained between this produced part and the side which is not produced . Either of the sides inay be produced , for the two angles which can thus be obtained are equal , by ...
... produced ; then the exterior angle at that point is the angle contained between this produced part and the side which is not produced . Either of the sides inay be produced , for the two angles which can thus be obtained are equal , by ...
Side 278
... produced . Suppose , for example , that we wish to describe a circle which shall touch the side BC , and the sides AB and AC produced : bisect the angle between AB produced and BC , and bisect the angle between AC produced and BC ; then ...
... produced . Suppose , for example , that we wish to describe a circle which shall touch the side BC , and the sides AB and AC produced : bisect the angle between AB produced and BC , and bisect the angle between AC produced and BC ; then ...
Andre utgaver - Vis alle
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