The Elements of EuclidJohnson and Warner, 1811 - 518 sider |
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Resultat 1-5 av 65
Side 68
... circumference intercepted between the straight lines that contain the angle . X. The sector of a circle is the figure contain- ed by two straight lines drawn from the centre , and the circumference between them . D XI . Similar segments of ...
... circumference intercepted between the straight lines that contain the angle . X. The sector of a circle is the figure contain- ed by two straight lines drawn from the centre , and the circumference between them . D XI . Similar segments of ...
Side 69
... circle ABC . Which was to be found . G F c 8.1 . B D d 10. def . 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 ...
... circle ABC . Which was to be found . G F c 8.1 . B D d 10. def . 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 ...
Side 71
... a straight line , & c . Q. E. D. PROP . IV . THEOR . IF in a circle two straight lines cut one another which do not both pass through the centre , they do not bisect each other . Let ABCD be a circle , and AC , BD two straight lines in ...
... a straight line , & c . Q. E. D. PROP . IV . THEOR . IF in a circle two straight lines cut one another which do not both pass through the centre , they do not bisect each other . Let ABCD be a circle , and AC , BD two straight lines in ...
Side 72
... circle ABC , CE is equal to EF : again , be- cause E is the centre of the circle CDG , CE is equal to EG : but CE was shown to be equal to EF ; A therefore EF is equal to EG , the less to the greater , which is impos- sible : therefore ...
... circle ABC , CE is equal to EF : again , be- cause E is the centre of the circle CDG , CE is equal to EG : but CE was shown to be equal to EF ; A therefore EF is equal to EG , the less to the greater , which is impos- sible : therefore ...
Side 73
... 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 ...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... Robert Simson Uten tilgangsbegrensning - 1806 |
Vanlige uttrykk og setninger
altitude angle ABC angle BAC base BC BC is equal BC is given bisected Book XI centre circle ABCD circumference cone cylinder demonstrated described diameter draw drawn equal angles equiangular equimultiples Euclid 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 pyramid Q. E. D. PROP radius ratio of AE rectangle CB rectangle contained rectilineal figure remaining angle right angles segment sides BA similar solid angle solid parallelopiped square of AC straight line AB straight line BC tangent THEOR third triangle ABC triplicate ratio vertex wherefore