A Supplement to the Elements of EuclidJ. Deighton and Sons, Cambridge and G and W. B. Whittaker, Ave-Maria-Lane, 1819 - 410 σελίδες |
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Σελίδα 112
... touch one another . For since ( hyp . ) the two diameters are in the same straight line , it is manifest that a ... circle , and the middle point being equidistant from the other two , to describe two equal circles ; which shall ...
... touch one another . For since ( hyp . ) the two diameters are in the same straight line , it is manifest that a ... circle , and the middle point being equidistant from the other two , to describe two equal circles ; which shall ...
Σελίδα 113
... circle ABC , and let the middle point , B , be equidistant from A and B : It is re- quired to describe two equal circles , the one pass- ing through A and the other through C , which shall touch one another in B. Join A , B , and B , C ...
... circle ABC , and let the middle point , B , be equidistant from A and B : It is re- quired to describe two equal circles , the one pass- ing through A and the other through C , which shall touch one another in B. Join A , B , and B , C ...
Σελίδα 114
... touch one another in the point B. ́ PROP . VIII . 9. PROBLEM . To draw a tangent to a circle , which shall be parallel to a given finite straight line . Let ABC be a given circle , and XY a given A B K X E D F Y ገ IC G W straight ...
... touch one another in the point B. ́ PROP . VIII . 9. PROBLEM . To draw a tangent to a circle , which shall be parallel to a given finite straight line . Let ABC be a given circle , and XY a given A B K X E D F Y ገ IC G W straight ...
Σελίδα 117
... circle , which shall have its centre in AY , and its semi - diameter equal to L , and which shall touch AX . From the point A , in AX , draw ( E. 11. 1. ) AB 1 to AX , and make AB = L ; through B draw ( E. 31. 1. ) BC parallel to AX ...
... circle , which shall have its centre in AY , and its semi - diameter equal to L , and which shall touch AX . From the point A , in AX , draw ( E. 11. 1. ) AB 1 to AX , and make AB = L ; through B draw ( E. 31. 1. ) BC parallel to AX ...
Σελίδα 118
... circle the circumference of which shall pass through A and touch XY in B. to XY ; join A , and from D draw From B draw ( E. 11. 1. ) BC B ; bisect ( E. 10. 1. ) AB in D , DK 1 to AB ; .. ( S. 3. 1. cor . 2. ) K is equi- distant from A ...
... circle the circumference of which shall pass through A and touch XY in B. to XY ; join A , and from D draw From B draw ( E. 11. 1. ) BC B ; bisect ( E. 10. 1. ) AB in D , DK 1 to AB ; .. ( S. 3. 1. cor . 2. ) K is equi- distant from A ...
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ABCD base BC bisect centre chord circle ABC circle described circumference constr decagon describe a circle describe the circle diameter distance divided double draw a straight draw E equi equiangular equilateral and equiangular F draw find a point finite straight line given circle given finite straight given point given ratio given square given straight line half hypotenuse inscribed isosceles less Let AB Let ABC lines be drawn magnitudes manifest manner meet the circumference number of equal number of sides parallel to BC parallelogram pass perimeter point G polygon PROBLEM produced PROP rectangle contained rectilineal figure remaining sides required to describe required to draw rhombus right angles segment semi-diameter straight line joining tangent THEOREM three given touch the circle trapezium vertex