The Elements of EuclidJohnson and Warner, 1811 - 518 sider |
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Resultat 6-10 av 63
Side 85
... segment of a circle are See Note equal to one another . Let ABCD be a circle , and BAD , BED angles in the same segment BAED : the angles BAD , BED are equal to one another . Take F the centre of the circle ABCD and , first , let the ...
... segment of a circle are See Note equal to one another . Let ABCD be a circle , and BAD , BED angles in the same segment BAED : the angles BAD , BED are equal to one another . Take F the centre of the circle ABCD and , first , let the ...
Side 86
... segment BADC , and the angle ACB is equal to the angle ADB , because they are in the same segment ADCB : therefore the whole angle ADC is equal to the A angles CAB , ACB : to each of these equals add the angle ABC ; therefore the angles ...
... segment BADC , and the angle ACB is equal to the angle ADB , because they are in the same segment ADCB : therefore the whole angle ADC is equal to the A angles CAB , ACB : to each of these equals add the angle ABC ; therefore the angles ...
Side 87
... segments of circles upon equal straight See Note . lines , are equal to one another . Let AEB , CFD be similar segments of circles upon the equal straight lines AB , CD : the segment AEB is equal to the segment CFD . For , if the seg ...
... segments of circles upon equal straight See Note . lines , are equal to one another . Let AEB , CFD be similar segments of circles upon the equal straight lines AB , CD : the segment AEB is equal to the segment CFD . For , if the seg ...
Side 88
... segment AEB must a coincide with the segment CFD , and therefore is equal to it . Wherefore , similar segments , & c . Q. E. D. ~ · a 23. 3 . See Note . a 10. 1 . b 11. 1 . c 6.1 . d 9. 3 . 23. 1 . £ 4.1 . PROP . XXV . PROB A SEGMENT of ...
... segment AEB must a coincide with the segment CFD , and therefore is equal to it . Wherefore , similar segments , & c . Q. E. D. ~ · a 23. 3 . See Note . a 10. 1 . b 11. 1 . c 6.1 . d 9. 3 . 23. 1 . £ 4.1 . PROP . XXV . PROB A SEGMENT of ...
Side 89
... segment is described : and it is evident , that if the angle ABD be greater than the angle BAD , the centre E falls with- out the segment ABC , which therefore is less than a semicir- cle ; but if the angle ABD be less than BAD , the ...
... segment is described : and it is evident , that if the angle ABD be greater than the angle BAD , the centre E falls with- out the segment ABC , which therefore is less than a semicir- cle ; but if the angle ABD be less than BAD , the ...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... Robert Simson Uten tilgangsbegrensning - 1806 |
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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