A Supplement to the Elements of EuclidJ. Deighton and Sons, Cambridge and G and W. B. Whittaker, Ave-Maria-Lane, 1819 - 410 sider |
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Side 69
... by the latter part of the preceding problem , a polygon , of any given number of sides , may be found , which shall be equal to a given triangle . PROP . LVIII . 76. THEOREM . The diameters of ELEMENTS OF EUCLID . 69.
... by the latter part of the preceding problem , a polygon , of any given number of sides , may be found , which shall be equal to a given triangle . PROP . LVIII . 76. THEOREM . The diameters of ELEMENTS OF EUCLID . 69.
Side 136
... polygon be described about a circle , the straight lines joining the several points of contact will contain a polygon of the same num- ber of angles as the former ; and any two adja- cent angles of the circumscribed figure shall be ...
... polygon be described about a circle , the straight lines joining the several points of contact will contain a polygon of the same num- ber of angles as the former ; and any two adja- cent angles of the circumscribed figure shall be ...
Side 137
... polygon DCLME has the same number of angles as AFGHB ; and , further , any two adjacent A and B of the polygon AFGHB , are , together , the double of the intermediate CDE , of the inscribed figure . For , find ( E. 1. 3. ) the centre K ...
... polygon DCLME has the same number of angles as AFGHB ; and , further , any two adjacent A and B of the polygon AFGHB , are , together , the double of the intermediate CDE , of the inscribed figure . For , find ( E. 1. 3. ) the centre K ...
Side 145
... polygon , of an even number of sides , which is inscribed in a given circle , are together equal to the remaining angles of the figure ; any angle whatever being assumed as the first . L Let ABCDEF be any polygon , of an even num ...
... polygon , of an even number of sides , which is inscribed in a given circle , are together equal to the remaining angles of the figure ; any angle whatever being assumed as the first . L Let ABCDEF be any polygon , of an even num ...
Side 146
Daniel Cresswell. Let ABCDEF be any polygon , of an even num- A B E ber of sides , inscribed in the given circle ACE : Then A being assumed as the first 4 , the A + < C + E + , & c . = 2B + 4D + 2 F + , & c , First , let the inscribed ...
Daniel Cresswell. Let ABCDEF be any polygon , of an even num- A B E ber of sides , inscribed in the given circle ACE : Then A being assumed as the first 4 , the A + < C + E + , & c . = 2B + 4D + 2 F + , & c , First , let the inscribed ...
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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