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 15
... trapezium and a triangle stand upon the same base , and on the same side of it , and the one figure fall within the other , that which has the greater surface shall have the greater perimeter . D E F B Let the trapezium EBCF fall within ...
... trapezium and a triangle stand upon the same base , and on the same side of it , and the one figure fall within the other , that which has the greater surface shall have the greater perimeter . D E F B Let the trapezium EBCF fall within ...
Side 16
Daniel Cresswell. D E F B Let the trapezium EBCF fall within the A DBC ; let , also , the △ DBC fall within the tra ... trapezium , it may , in the same manner , be proved , that the proposition is true , a fortiori . PROP . XV . 23 ...
Daniel Cresswell. D E F B Let the trapezium EBCF fall within the A DBC ; let , also , the △ DBC fall within the tra ... trapezium , it may , in the same manner , be proved , that the proposition is true , a fortiori . PROP . XV . 23 ...
Side 27
... . From a given isosceles triangle to cut off a trapezium , which shall have the same base as the triangle , and shall have its three remaining sides equal to each other . Let ABC be the given isosceles A : It is ELEMENTS OF EUCLID . 27.
... . From a given isosceles triangle to cut off a trapezium , which shall have the same base as the triangle , and shall have its three remaining sides equal to each other . Let ABC be the given isosceles A : It is ELEMENTS OF EUCLID . 27.
Side 28
... trapezium , which , having BC for its base , shall have its three remaining sides equal to one another . Bisect ( E. 9. 1. ) the ABC by BD , meeting AC in D ; and through D draw ( E. 31. 1. ) DE parallel to CB : Then shall BE , ED , and ...
... trapezium , which , having BC for its base , shall have its three remaining sides equal to one another . Bisect ( E. 9. 1. ) the ABC by BD , meeting AC in D ; and through D draw ( E. 31. 1. ) DE parallel to CB : Then shall BE , ED , and ...
Side 65
... trapezium ABEF is equal to the trape- zium FECD ; i . e . EF bisects the ABCD . " $ PROP . LV . 72. THEOREM . A trapezium , which has two of its sides parallel , is the half of a rectangle between the same parallels , and having its ...
... trapezium ABEF is equal to the trape- zium FECD ; i . e . EF bisects the ABCD . " $ PROP . LV . 72. THEOREM . A trapezium , which has two of its sides parallel , is the half of a rectangle between the same parallels , and having its ...
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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