A Supplement to the Elements of EuclidJ. Deighton and Sons, Cambridge and G and W. B. Whittaker, Ave-Maria-Lane, 1819 - Euclid's Elements - 410 pages |
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Page 19
... equiangular figure of more than four sides , be 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 ...
... equiangular figure of more than four sides , be 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 ...
Page 20
... equiangular ; and it is manifest that it has the same number of sides as the figure ABCDEF . PROP . XVIII . 26. THEOREM . If two opposite sides of a quadri- lateral figure be equal to one another , and the two remaining sides be also ...
... equiangular ; and it is manifest that it has the same number of sides as the figure ABCDEF . PROP . XVIII . 26. THEOREM . If two opposite sides of a quadri- lateral figure be equal to one another , and the two remaining sides be also ...
Page 23
... to EC ; ... ( E. 29. 1 . ECA 4 CAB △ ACB ; because ( constr . ) the AACB is equilateral , and ( E. 5. 1. cor . ) equiangular : Since , ... , the ACE 2 ACD , and that the D and E are right , and ELEMENTS OF EUCLID . 23.
... to EC ; ... ( E. 29. 1 . ECA 4 CAB △ ACB ; because ( constr . ) the AACB is equilateral , and ( E. 5. 1. cor . ) equiangular : Since , ... , the ACE 2 ACD , and that the D and E are right , and ELEMENTS OF EUCLID . 23.
Page 39
... cor . and constr . ) the A CAB is equiangular ; .. the ADEF is equian- gular ; and .. ( E. 6. 1. cor . ) it is , also , equilate- ral ; so that DE and DF are , each ELEMENTS OF EUCLID . 39 Let AB be the given straight line: It is ...
... cor . and constr . ) the A CAB is equiangular ; .. the ADEF is equian- gular ; and .. ( E. 6. 1. cor . ) it is , also , equilate- ral ; so that DE and DF are , each ELEMENTS OF EUCLID . 39 Let AB be the given straight line: It is ...
Page 59
... equiangular octagon . Let AB be a given finite straight line : Upon AB , it is required to describe an equilateral and equiangular octagon . D E K H F G X A B Y ELEMENTS OF EUCLID .. 59 '
... equiangular octagon . Let AB be a given finite straight line : Upon AB , it is required to describe an equilateral and equiangular octagon . D E K H F G X A B Y ELEMENTS OF EUCLID .. 59 '
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Common terms and phrases
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