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 12
... aggregate of the remaining sides . Let ABCD be a given rectilineal figure : Any E F B one side , as BC , is less than the aggregate of the remaining sides . For , first , let the figure be quadrilateral ; 12 A SUPPLEMENT TO THE.
... aggregate of the remaining sides . Let ABCD be a given rectilineal figure : Any E F B one side , as BC , is less than the aggregate of the remaining sides . For , first , let the figure be quadrilateral ; 12 A SUPPLEMENT TO THE.
Side 16
... ABCD ; and let all the figures stand on the same base BC : The perimeter of the A DBC is the perimeter of EBCF , and < the perimeter of ABCD . First , let E and F be in the sides DB and DC of the A DBC , and let the vertex D of the A ...
... ABCD ; and let all the figures stand on the same base BC : The perimeter of the A DBC is the perimeter of EBCF , and < the perimeter of ABCD . First , let E and F be in the sides DB and DC of the A DBC , and let the vertex D of the A ...
Side 21
... ABCD , be equal to one another , and let the two remaining sides , AD , BC , be , also , equal to one another : The figure ABCD is a . For , join D , B : Then since the two sides AD , DB , of the △ ADB , are equal to the two sides CB ...
... ABCD , be equal to one another , and let the two remaining sides , AD , BC , be , also , equal to one another : The figure ABCD is a . For , join D , B : Then since the two sides AD , DB , of the △ ADB , are equal to the two sides CB ...
Side 22
... ABCD be a right angle : The B , C , and D are also right angles . 2 . B For , since AD is parallel to BC , and AB meets them , the two interior A , B are , ( E. 29. 1. ) together , equal to two right ; but ( hyp . ) the 4 A is a right 4 ...
... ABCD be a right angle : The B , C , and D are also right angles . 2 . B For , since AD is parallel to BC , and AB meets them , the two interior A , B are , ( E. 29. 1. ) together , equal to two right ; but ( hyp . ) the 4 A is a right 4 ...
Side 42
... ABCD be a given square ; in the sides E F H G AB , BC , CD , DA , let the four points E , H , G , F be taken , so that E is at the same distance from A that H is from B , that G is from C , and F from D ; and let E , H , and H , G , and ...
... ABCD be a given square ; in the sides E F H G AB , BC , CD , DA , let the four points E , H , G , F be taken , so that E is at the same distance from A that H is from B , that G is from C , and F from D ; and let E , H , and H , G , and ...
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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