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 |
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Side 385
... given therefore FB , the excess of AB above a given mag- nitude AF , has a given ratio to D. " PROP . XXVIII . 25 . Ir two lines given in position cut one another , the point or points in which they cut one another are given . * Let two ...
... given therefore FB , the excess of AB above a given mag- nitude AF , has a given ratio to D. " PROP . XXVIII . 25 . Ir two lines given in position cut one another , the point or points in which they cut one another are given . * Let two ...
Side 386
... given ; the other extremity shall also be given . Let the point A be given , to wit , one of the extremities of a straight line given in magnitude , and which lies in the straight line AC given in position ; the other extremity is also ...
... given ; the other extremity shall also be given . Let the point A be given , to wit , one of the extremities of a straight line given in magnitude , and which lies in the straight line AC given in position ; the other extremity is also ...
Side 387
... given in position , and makes a given angle with it ; that straight line is given in position . G F Let AB be a straight line given in position , and C a given point in it ; the straight line drawn to C , which makes a given angle with ...
... given in position , and makes a given angle with it ; that straight line is given in position . G F Let AB be a straight line given in position , and C a given point in it ; the straight line drawn to C , which makes a given angle with ...
Side 388
... given : therefore , because the straight line DA is drawn to the given point A in the straight line EF given in position , and makes with it a given angle EAD , AD is given ( 32. dat . ) in position . 31 . PROP . XXXIV . IF from a given ...
... given : therefore , because the straight line DA is drawn to the given point A in the straight line EF given in position , and makes with it a given angle EAD , AD is given ( 32. dat . ) in position . 31 . PROP . XXXIV . IF from a given ...
Side 389
... given magnitude , which can be drawn from a given point A to a straight line BC given in position . PROP . XXXV . 32 . Ir a straight line be drawn between two parallel straight lines given in position , and makes given angles with them ...
... given magnitude , which can be drawn from a given point A to a straight line BC given in position . PROP . XXXV . 32 . Ir a straight line be drawn between two parallel straight lines given in position , and makes given angles with them ...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Robert Simson,Euclid Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
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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