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 9
Daniel Cresswell. A B G C BG , of the △ AGB , is produced : which ( E. 16. 1. ) is absurd . 12. COR . A circle cannot cut a straight line in more points than two . PROP . VII . 13. THEOREM . The perpendicular let fall from the obtuse ...
Daniel Cresswell. A B G C BG , of the △ AGB , is produced : which ( E. 16. 1. ) is absurd . 12. COR . A circle cannot cut a straight line in more points than two . PROP . VII . 13. THEOREM . The perpendicular let fall from the obtuse ...
Side 10
... produced , in G : Then , since ( hyp . ) the △ ABD is acute , the AB is ( E. 13. 1. ) obtuse ; and ( constr . ) the AGB is a right angle : Wherefore the two L ABG , AGB of the A ABG are not less than two right angles ; which ( E. 17. 1 ...
... produced , in G : Then , since ( hyp . ) the △ ABD is acute , the AB is ( E. 13. 1. ) obtuse ; and ( constr . ) the AGB is a right angle : Wherefore the two L ABG , AGB of the A ABG are not less than two right angles ; which ( E. 17. 1 ...
Side 11
... produced ever so far . For , if it be possible , let two straight lines meet , which make , with another straight line , the two interior angles , on the same side , not less than two right : Then it is plain , that the three straight ...
... produced ever so far . For , if it be possible , let two straight lines meet , which make , with another straight line , the two interior angles , on the same side , not less than two right : Then it is plain , that the three straight ...
Side 19
... produced so as to meet , the straight lines , joining their several intersections , shall con- tain an equilateral and equiangular figure , of the same number of sides as the given figure . Let ABCDEF be any equilateral and equi ...
... produced so as to meet , the straight lines , joining their several intersections , shall con- tain an equilateral and equiangular figure , of the same number of sides as the given figure . Let ABCDEF be any equilateral and equi ...
Side 27
... produced . Draw ( E. 11. 1. ) from B , BY 1 to AB ; bisect A B E F ( E. 9.1 . ) the CBY by BD , meeting AC , pro- duced in D ; through D , draw ( E. 31. 1. ) DE parallel to BY , and let DE cut BC in F : Fis the point which was to be ...
... produced . Draw ( E. 11. 1. ) from B , BY 1 to AB ; bisect A B E F ( E. 9.1 . ) the CBY by BD , meeting AC , pro- duced in D ; through D , draw ( E. 31. 1. ) DE parallel to BY , and let DE cut BC in F : Fis the point which was to be ...
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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