The Elements of Euclid for the Use of Schools and CollegesMacmillan, 1872 - 400 Seiten |
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Ergebnisse 1-5 von 79
Seite 7
... given straight line : it is required to describe an equilateral triangle on AB . A E From the centre A , at the distance AB , describe the circle BCD . [ Postulate 3 . From the centre B , at the distance BA , describe the circle ACE ...
... given straight line : it is required to describe an equilateral triangle on AB . A E From the centre A , at the distance AB , describe the circle BCD . [ Postulate 3 . From the centre B , at the distance BA , describe the circle ACE ...
Seite 8
... given straight line . Let A be the given point , and BC the given straight line it is required to draw from the ... circle CGH , meeting DFat G. [ Post . 3 . From the centre D , at the dis- tance DG , describe the circle GKL , meeting DE ...
... given straight line . Let A be the given point , and BC the given straight line it is required to draw from the ... circle CGH , meeting DFat G. [ Post . 3 . From the centre D , at the dis- tance DG , describe the circle GKL , meeting DE ...
Seite 17
... circle EGF , meeting AB at F and G. Bisect FG at H , and join CH . [ Postulate 3 . [ I. 10 . The straight line CH drawn from the given point C shall be perpendicular to the given straight line AB . Join CF , CG . Because FH is equal to ...
... circle EGF , meeting AB at F and G. Bisect FG at H , and join CH . [ Postulate 3 . [ I. 10 . The straight line CH drawn from the given point C shall be perpendicular to the given straight line AB . Join CF , CG . Because FH is equal to ...
Seite 25
... given straight lines , but any two whatever of these must be greater than the third . Let A , B , C be the three ... circle DKL . [ Post . 3 . D -E H L A B- From the centre G , at the distance GH , describe the circle HLK , cutting the ...
... given straight lines , but any two whatever of these must be greater than the third . Let A , B , C be the three ... circle DKL . [ Post . 3 . D -E H L A B- From the centre G , at the distance GH , describe the circle HLK , cutting the ...
Seite 72
... circle is the figure contained by two straight lines drawn from the centre , and the circumference between them . 11 ... given circle . Let ABC be the given circle : it is required to find its centre . Draw within it any straight line AB ...
... circle is the figure contained by two straight lines drawn from the centre , and the circumference between them . 11 ... given circle . Let ABC be the given circle : it is required to find its centre . Draw within it any straight line AB ...
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Häufige Begriffe und Wortgruppen
ABCD AC is equal angle ABC angle ACB angle BAC angle EDF angles equal Axiom base BC bisects the angle centre chord circle ABC circle described circumference Construction Corollary describe a circle diameter double draw a straight equal angles equal to F equiangular equilateral equimultiples Euclid Euclid's Elements exterior angle given circle given point given straight line gnomon Hypothesis inscribed intersect isosceles triangle less Let ABC magnitudes middle point multiple opposite angles opposite sides parallelogram perpendicular plane polygon produced proportionals PROPOSITION 13 Q.E.D. PROPOSITION quadrilateral radius rectangle contained rectilineal figure remaining angle rhombus right angles right-angled triangle segment shew shewn side BC square on AC straight line &c straight line drawn tangent THEOREM touches the circle triangle ABC triangle DEF twice the rectangle vertex Wherefore