The Elements of Euclid for the Use of Schools and CollegesMacmillan, 1872 - 400 sider |
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Side 221
... fixed straight line about which the semicircle revolves . 16. The centre of a sphere is the same with that of the ... fixed . If the fixed side be equal to the other side containing the right angle , the cone is called a right - angled ...
... fixed straight line about which the semicircle revolves . 16. The centre of a sphere is the same with that of the ... fixed . If the fixed side be equal to the other side containing the right angle , the cone is called a right - angled ...
Side 222
... fixed . 22. The axis of a cylinder is the fixed straight line about which the parallelogram revolves . 23 . The bases of a cylinder are the circles described by the two revolving opposite sides of the parallelogram . 24. Similar cones ...
... fixed . 22. The axis of a cylinder is the fixed straight line about which the parallelogram revolves . 23 . The bases of a cylinder are the circles described by the two revolving opposite sides of the parallelogram . 24. Similar cones ...
Side 329
... fixed plane which are at a given distance from a given point , the focus is the circumference of the circle described from the given point as centre , with the given distance as radius . In future we shall restrict ourselves to loci ...
... fixed plane which are at a given distance from a given point , the focus is the circumference of the circle described from the given point as centre , with the given distance as radius . In future we shall restrict ourselves to loci ...
Side 330
... fixed point either in AB or in AB produced through B ( 40 ) . And the required locus is the straight line drawn ... fixed point . Let A be the centre of the given circle ; B the fixed A B point ; let any chord of the circle be drawn 330 ...
... fixed point either in AB or in AB produced through B ( 40 ) . And the required locus is the straight line drawn ... fixed point . Let A be the centre of the given circle ; B the fixed A B point ; let any chord of the circle be drawn 330 ...
Side 331
... fixed straight line , meeting it at C ; in OC take a point D such that ŎD is to OC in the fixed ratio ; draw from O any straight line OP meeting the fixed straight line at P , and in OP take a point such that OQ is to OP in the fixed ...
... fixed straight line , meeting it at C ; in OC take a point D such that ŎD is to OC in the fixed ratio ; draw from O any straight line OP meeting the fixed straight line at P , and in OP take a point such that OQ is to OP in the fixed ...
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Vanlige uttrykk og setninger
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