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 xx
... triangle . ......... triangles . a parallelogram . parallelograms . A : B ......... the ratio of A to B. A : B :: C : D ... the ratio of A to B is equivalent to the ratio of C to D. ... ........ therefore . A TO THE ELEMENTS OF EUCLID ...
... triangle . ......... triangles . a parallelogram . parallelograms . A : B ......... the ratio of A to B. A : B :: C : D ... the ratio of A to B is equivalent to the ratio of C to D. ... ........ therefore . A TO THE ELEMENTS OF EUCLID ...
Side 2
... triangle , to draw , to the base , a straight line which shall exceed the less of the two sides , as much as it is itself exceeded by the greater . Let ABC be the given scalene triangle , and let AB be greater than AC : It is required ...
... triangle , to draw , to the base , a straight line which shall exceed the less of the two sides , as much as it is itself exceeded by the greater . Let ABC be the given scalene triangle , and let AB be greater than AC : It is required ...
Side 6
... triangle be bisected , the perpendiculars drawn to the sides , from the three several bisections , shall all meet in the same point : And that point is equidistant from the three angular points of the given triangle . Let ABC be a given ...
... triangle be bisected , the perpendiculars drawn to the sides , from the three several bisections , shall all meet in the same point : And that point is equidistant from the three angular points of the given triangle . Let ABC be a given ...
Side 8
... triangle ; or so as that its circumference shall pass through any three given points that are not in the same straight line . 11. THEOREM . PROP . VI . There cannot be drawn more than two equal straight lines , to another straight line ...
... triangle ; or so as that its circumference shall pass through any three given points that are not in the same straight line . 11. THEOREM . PROP . VI . There cannot be drawn more than two equal straight lines , to another straight line ...
Side 9
... triangle , or from any angle of an acute - angled triangle , upon the opposite side , falls within that side : But the perpendicular drawn to either of the sides con- taining the obtuse angle of an obtuse - angled tri- angle , from the ...
... triangle , or from any angle of an acute - angled triangle , upon the opposite side , falls within that side : But the perpendicular drawn to either of the sides con- taining the obtuse angle of an obtuse - angled tri- angle , from the ...
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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