The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth. The Errors, by which Theon, Or Others, Have Long Ago Vitiated These Books, are Corrected, and Some of Euclid's Demonstrations are Restored. Also, the Book of Euclid's Data, in Like Manner CorrectedT. Desilver and R. Desilver, 1825 - 516 sider |
Inni boken
Resultat 1-5 av 66
Side 66
... A segment of a circle is the figure con- tained by a straight line and the circum- ference it cuts off . VII . " The angle of a segment is that which is contained by the straight line and the circumference . " VIII . An angle in a ...
... A segment of a circle is the figure con- tained by a straight line and the circum- ference it cuts off . VII . " The angle of a segment is that which is contained by the straight line and the circumference . " VIII . An angle in a ...
Side 67
... circle ABC . Which was to be found . A B D E COR . From this it is manifest , that if in a circle a straight line bisect another at right angles , the centre of the circle is in the line which bisects the other . PROP . II . THEOR . Ir ...
... circle ABC . Which was to be found . A B D E COR . From this it is manifest , that if in a circle a straight line bisect another at right angles , the centre of the circle is in the line which bisects the other . PROP . II . THEOR . Ir ...
Side 69
... ABCD be a circle , and AC , BD two straight lines in it which cut one another in the point E , and do not both pass ... circle , & c . Q. E. D. B E C PROP . V. THEOR . If two circles cut one another , they shall not have the same centre ...
... ABCD be a circle , and AC , BD two straight lines in it which cut one another in the point E , and do not both pass ... circle , & c . Q. E. D. B E C PROP . V. THEOR . If two circles cut one another , they shall not have the same centre ...
Side 70
... circle ABC , CE is equal to EF : again , because E is the centre of the circle CDG , CE is equal to EG : but CE was shown to be equal to EF ; therefore EF is A equal to EG , the less to the greater , which is impossible : therefore E is ...
... circle ABC , CE is equal to EF : again , because E is the centre of the circle CDG , CE is equal to EG : but CE was shown to be equal to EF ; therefore EF is A equal to EG , the less to the greater , which is impossible : therefore E is ...
Side 71
... ABCD be a circle , and AD its diameter , in which let any point F be taken which is not the centre ; let the centre be E ; of all the straight lines FB , FC , FG , & c . that can be drawn from F to the circumference , FA is the greatest ...
... ABCD be a circle , and AD its diameter , in which let any point F be taken which is not the centre ; let the centre be E ; of all the straight lines FB , FC , FG , & c . that can be drawn from F to the circumference , FA is the greatest ...
Andre utgaver - Vis alle
The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Robert Simson,Euclid Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
Vanlige uttrykk og setninger
altitude angle ABC angle BAC base BC BC is equal BC is given bisected centre circle ABCD circumference cone cylinder demonstrated described diameter draw drawn equal angles equiangular equimultiples Euclid ex æquali excess fore given angle given in magnitude given in position given in species given magnitude given ratio given straight line gnomon greater join less Let ABC meet multiple parallel parallelogram parallelogram AC perpendicular point F polygon prism proportionals proposition Q. E. D. PROP radius ratio of AE rectangle CB rectangle contained rectilineal figure remaining angle right angles segment sides BA similar sine solid angle solid parallelopipeds square of AC straight line AB straight line BC tangent THEOR third triangle ABC triplicate ratio vertex wherefore