A Supplement to the Elements of EuclidJ. Deighton and Sons, Cambridge and G and W. B. Whittaker, Ave-Maria-Lane, 1819 - 410 σελίδες |
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Σελίδα 5
... right angles , is equidistant from the extremi- ties A and B , of that given finite line : And , any point which is not in that indefinite line DZ , is not equidistant from the two extremities A and B of the given finite line . ACP ...
... right angles , is equidistant from the extremi- ties A and B , of that given finite line : And , any point which is not in that indefinite line DZ , is not equidistant from the two extremities A and B of the given finite line . ACP ...
Σελίδα 10
... right angle : Wherefore the two L ABG , AGB of the A ABG are not less than two right angles ; which ( E. 17. 1. ) is absurd . There- fore , the perpendicular drawn from A on BD cannot fall without BD . ner , it may be shewn , that the ...
... right angle : Wherefore the two L ABG , AGB of the A ABG are not less than two right angles ; which ( E. 17. 1. ) is absurd . There- fore , the perpendicular drawn from A on BD cannot fall without BD . ner , it may be shewn , that the ...
Σελίδα 11
... angles , on the same side , not less than two right : Then it is plain , that the three straight lines will thus include a A , two of which are not less than two right angles ; which ( E. 17. 1. ) is absurd . Wherefore , the two ...
... angles , on the same side , not less than two right : Then it is plain , that the three straight lines will thus include a A , two of which are not less than two right angles ; which ( E. 17. 1. ) is absurd . Wherefore , the two ...
Σελίδα 18
... right - angled triangles have the three angles of the one equal to the three angles of the other , each to each , and if a side of the one be equal to the perpendicular let fall from the right angle upon the hypotenuse of the other ...
... right - angled triangles have the three angles of the one equal to the three angles of the other , each to each , and if a side of the one be equal to the perpendicular let fall from the right angle upon the hypotenuse of the other ...
Σελίδα 22
... angles right angles . Let one △ , as A , of the 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 ...
... angles right angles . Let one △ , as A , of the 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 ...
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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