The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and TwelfthJ. Collingwood, 1825 - 513 σελίδες |
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Σελίδα 3
... circumference , and is such that all straight lines drawn from a certain point within the figure to the circumference , are equal to one another . Д XVI . And this point is called the centre of the circle . XVII . A diameter of a circle ...
... circumference , and is such that all straight lines drawn from a certain point within the figure to the circumference , are equal to one another . Д XVI . And this point is called the centre of the circle . XVII . A diameter of a circle ...
Σελίδα 55
... circumference 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 segment is the angle con- tained by two straight lines drawn from any point in the ...
... circumference 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 segment is the angle con- tained by two straight lines drawn from any point in the ...
Σελίδα 56
... circumference of a circle , the straight line which joins them shall fall within the circle . Let ABC be a circle , and A , B any two points in the circumference ; the straight line drawn from A to B shall fall within the circle . N. B. ...
... circumference of a circle , the straight line which joins them shall fall within the circle . Let ABC be a circle , and A , B any two points in the circumference ; the straight line drawn from A to B shall fall within the circle . N. B. ...
Σελίδα 57
... circumference AB take any point F , join DF , and produce it to E : then because DA is equal + to DB , the angle DAB is equal * D 1. 3 . † 15 Def . 1 . 5. 1 . to the angle DBA : and because AE , a side of the tri- angle DAE , is ...
... circumference AB take any point F , join DF , and produce it to E : then because DA is equal + to DB , the angle DAB is equal * D 1. 3 . † 15 Def . 1 . 5. 1 . to the angle DBA : and because AE , a side of the tri- angle DAE , is ...
Σελίδα 59
... circumference , the greatest is that in which the centre is , and the other part of that dia- meter is the least ; and , of any others , that which is nearer to the line which passes through the centre is al- ways greater than one more ...
... circumference , the greatest is that in which the centre is , and the other part of that dia- meter is the least ; and , of any others , that which is nearer to the line which passes through the centre is al- ways greater than one more ...
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The Elements Of Euclid: Viz. The First Six Books, Together With The Eleventh ... Robert Simson,Euclid,John Davidson Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2019 |
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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 opposite parallel parallelogram AC perpendicular polygon prism proportionals proposition pyramid Q. E. D. PROP radius ratio of AE rectangle contained rectilineal figure right angles segment shewn 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