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 1
... manner , refers to this Supplement ; the former of the subsequent num- bers points out the Proposition , and the latter the Book , in- tended to be quoted . B equal parts , on either side of that middle part SUPPLEMENT A ...
... manner , refers to this Supplement ; the former of the subsequent num- bers points out the Proposition , and the latter the Book , in- tended to be quoted . B equal parts , on either side of that middle part SUPPLEMENT A ...
Side 13
... manner , be proved to be true , when the figure has more than four sides . PROP . XII . 19. THEOREM . The two sides of a triangle are together , greater than the double of the straight line which joins the vertex and the bisection of ...
... manner , be proved to be true , when the figure has more than four sides . PROP . XII . 19. THEOREM . The two sides of a triangle are together , greater than the double of the straight line which joins the vertex and the bisection of ...
Side 16
... vertex of the A do not coincide with either of the A or D , of the trapezium , it may , in the same manner , be proved , that the proposition is true , a fortiori . PROP . XV . 23. PROBLEM . One of the 16 A SUPPLEMENT TO THE.
... vertex of the A do not coincide with either of the A or D , of the trapezium , it may , in the same manner , be proved , that the proposition is true , a fortiori . PROP . XV . 23. PROBLEM . One of the 16 A SUPPLEMENT TO THE.
Side 22
... , equal to two right ; but ( hyp . ) the 4 A is a right 4 ; . ' . the △ B is also a right i And , in the same manner , may the remaining 4 , C and D , be shewn to be right . PROP . XX . 30. PROBLEM . To trisect a 22 A SUPPLEMENT TO THE.
... , equal to two right ; but ( hyp . ) the 4 A is a right 4 ; . ' . the △ B is also a right i And , in the same manner , may the remaining 4 , C and D , be shewn to be right . PROP . XX . 30. PROBLEM . To trisect a 22 A SUPPLEMENT TO THE.
Side 31
... manner it may be shewn , that , when the vertical of the isosceles A is acute , the at the base is greater than the half of a right angle . PROP . XXVIII . 98. THEOREM . If either of the equal sides of an isosceles triangle be produced ...
... manner it may be shewn , that , when the vertical of the isosceles A is acute , the at the base is greater than the half of a right angle . PROP . XXVIII . 98. THEOREM . If either of the equal sides of an isosceles triangle be produced ...
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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