The Elements of Euclid for the Use of Schools and Colleges: Comprising the First Six Books and Portions of the Eleventh and Twelfth BooksMacmillan, 1886 - 400 Seiten |
Im Buch
Ergebnisse 1-5 von 52
Seite 3
... segment of a circle is the figure contained by a straight line and the circumference which it cuts off . 20. Rectilineal figures are those which are contained by straight lines : 21. Trilateral figures , or triangles , by three straight ...
... segment of a circle is the figure contained by a straight line and the circumference which it cuts off . 20. Rectilineal figures are those which are contained by straight lines : 21. Trilateral figures , or triangles , by three straight ...
Seite 16
... segment . If it be possible , let the two straight lines ABC , ABD have the segment AB com- mon to both of them . From the point B draw BE at right angles to AB . Then , because ABC is a straight line , the angle CBE is equal to the ...
... segment . If it be possible , let the two straight lines ABC , ABD have the segment AB com- mon to both of them . From the point B draw BE at right angles to AB . Then , because ABC is a straight line , the angle CBE is equal to the ...
Seite 17
... segment . PROPOSITION 12. PROBLEM . To draw a straight line perpendicular to a given straight line of an unlimited length , from a given point without it . Let AB be the given straight line , which may be pro- duced to any length both ...
... segment . PROPOSITION 12. PROBLEM . To draw a straight line perpendicular to a given straight line of an unlimited length , from a given point without it . Let AB be the given straight line , which may be pro- duced to any length both ...
Seite 71
... when the perpendicu- lars drawn to them from the centre are equal . 5. And the straight line on which the greater perpendicular falls , is said to be farther from the centre . 6. A segment of a circle is the figure contained Book III.
... when the perpendicu- lars drawn to them from the centre are equal . 5. And the straight line on which the greater perpendicular falls , is said to be farther from the centre . 6. A segment of a circle is the figure contained Book III.
Seite 72
... segment is that which is contained by the straight line and the circumference . 8. An angle in a segment is the angle contained by two straight lines drawn from any point in the circumference of the segment to the extremities of the ...
... segment is that which is contained by the straight line and the circumference . 8. An angle in a segment is the angle contained by two straight lines drawn from any point in the circumference of the segment to the extremities of the ...
Andere Ausgaben - Alle anzeigen
Häufige Begriffe und Wortgruppen
ABCD angle ABC angle ACB angle BAC angle EDF angles equal Axiom base BC BC is equal 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