Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth, Also the Book of Euclid's DataLongman, Rees, Orme, 1834 - 482 σελίδες |
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Σελίδα 2
... angle is the inclination of two straight lines to one another , which meet together , but are not in the same ... ABC , or CBA ; that which is contained by AB , DB , is named the angle ABD , or DBA ; and that ' which is contained by DB ...
... angle is the inclination of two straight lines to one another , which meet together , but are not in the same ... ABC , or CBA ; that which is contained by AB , DB , is named the angle ABD , or DBA ; and that ' which is contained by DB ...
Σελίδα 8
... angles upon the other side of the base shall be equal . Let ABC be an isosceles triangle , of which the said AB is equal to AC ; and let the straight lines AB , AC be produced to D and E the angle ABC shall be equal 8 EUCLID'S ELEMENTS .
... angles upon the other side of the base shall be equal . Let ABC be an isosceles triangle , of which the said AB is equal to AC ; and let the straight lines AB , AC be produced to D and E the angle ABC shall be equal 8 EUCLID'S ELEMENTS .
Σελίδα 9
... angle ABC shall be equal to the angle ACB , and the angle CBD to the angle BCE . In BD take any point F ; and from AE , the greater , cut off * AC , the two each to each : * * 3 . 1 . + Constr . Hyp . AG equal to AF , the less , and ...
... angle ABC shall be equal to the angle ACB , and the angle CBD to the angle BCE . In BD take any point F ; and from AE , the greater , cut off * AC , the two each to each : * * 3 . 1 . + Constr . Hyp . AG equal to AF , the less , and ...
Σελίδα 11
... angle FDC is likewise greater than BCD ; much more then is the angle BDC greater than the angle BCD . Again ... ABC , DEF be two triangles , having the two sides AB , AC equal to the two sides DE , DF , each to each , viz . AB to DE , and AC ...
... angle FDC is likewise greater than BCD ; much more then is the angle BDC greater than the angle BCD . Again ... ABC , DEF be two triangles , having the two sides AB , AC equal to the two sides DE , DF , each to each , viz . AB to DE , and AC ...
Σελίδα 14
... angle CHF is equal * to the angle CHG ; and they are adjacent angles : but when a straight line , standing on ... ABC ; therefore the angles * D B D * 1 Ax . DBA , ABC are equal to 14 EUCLID'S ELEMENTS .
... angle CHF is equal * to the angle CHG ; and they are adjacent angles : but when a straight line , standing on ... ABC ; therefore the angles * D B D * 1 Ax . DBA , ABC are equal to 14 EUCLID'S ELEMENTS .
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ABC is given AC is equal altitude angle ABC angle BAC base BC bisected centre circle ABCD circumference common logarithm cone Constr 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 logarithm multiple parallel parallelogram parallelogram AC perpendicular polygon prism Prop proportionals Q. E. D. PROPOSITION radius ratio of AE rectangle CB rectangle contained rectilineal figure remaining angle right angles segment shewn sides BA similar sine solid angle solid parallelopiped square of AC straight line AB straight line BC THEOR.-If third tiple triangle ABC triplicate ratio vertex wherefore