The Elements of Euclid for the Use of Schools and CollegesMacmillan, 1872 - 400 Seiten |
Im Buch
Ergebnisse 1-5 von 83
Seite 3
... centre of the circle . 17. A diameter of a circle is a straight line drawn through the centre , and terminated both ways by the cir cumference . [ A radius of a circle is a straight line drawn from the centre to the circumference . ] 18 ...
... centre of the circle . 17. A diameter of a circle is a straight line drawn through the centre , and terminated both ways by the cir cumference . [ A radius of a circle is a straight line drawn from the centre to the circumference . ] 18 ...
Seite 5
... centre , at any distance from that centre . } AXIOMS . 1. Things which are equal to the DEFINITIONS . 5.
... centre , at any distance from that centre . } AXIOMS . 1. Things which are equal to the DEFINITIONS . 5.
Seite 7
... centre A , at the distance AB , describe the circle BCD . [ Postulate 3 . From the centre B , at the distance BA , describe the circle ACE . [ Postulate 3 . From the point C , at which the circles cut one another , draw the straight ...
... centre A , at the distance AB , describe the circle BCD . [ Postulate 3 . From the centre B , at the distance BA , describe the circle ACE . [ Postulate 3 . From the point C , at which the circles cut one another , draw the straight ...
Seite 8
... centre B , at the dis- tance BC , describe the circle CGH , meeting DFat G. [ Post . 3 . From the centre D , at the dis- tance DG , describe the circle GKL , meeting DE at L. [ Post . 3 . AL shall be equal to BC . K B G Because the ...
... centre B , at the dis- tance BC , describe the circle CGH , meeting DFat G. [ Post . 3 . From the centre D , at the dis- tance DG , describe the circle GKL , meeting DE at L. [ Post . 3 . AL shall be equal to BC . K B G Because the ...
Seite 9
... centre A , at the distance AD , describe the circle DEF meeting AB at E. [ Postulate 3 . AE shall be equal to C. Because the point A is the centre of the circle DEF , AE is equal to AD . But C is equal to AD . [ Definition 15 ...
... centre A , at the distance AD , describe the circle DEF meeting AB at E. [ Postulate 3 . AE shall be equal to C. Because the point A is the centre of the circle DEF , AE is equal to AD . But C is equal to AD . [ Definition 15 ...
Andere Ausgaben - Alle anzeigen
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