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
... or equal to . is greater than . ......... L LL ......... is less than . together with . diminished by . perpendicular . angle . angles . AB , or AB ......... ... a straight line , of which the points AB AB2 ABX CD 2AB , & c ...
... or equal to . is greater than . ......... L LL ......... is less than . together with . diminished by . perpendicular . angle . angles . AB , or AB ......... ... a straight line , of which the points AB AB2 ABX CD 2AB , & c ...
Side 2
... greater . Let ABC be the given scalene triangle , and let AB be greater than AC : It is required to draw , Frog intim Al D EXORD B F что C from the vertex A , to the base BC , 2 A SUPPLEMENT TO THE.
... greater . Let ABC be the given scalene triangle , and let AB be greater than AC : It is required to draw , Frog intim Al D EXORD B F что C from the vertex A , to the base BC , 2 A SUPPLEMENT TO THE.
Side 5
... greater , which is impossible ; ... the point P is not equidistant from A and B. 1. ) the 1. ) the ACP is a 6. COR . 3. Hence , an indefinite number of cir- cles may be described all of them passing through two given points : And if any ...
... greater , which is impossible ; ... the point P is not equidistant from A and B. 1. ) the 1. ) the ACP is a 6. COR . 3. Hence , an indefinite number of cir- cles may be described all of them passing through two given points : And if any ...
Side 12
... greater than the difference between the other two sides . If , the A be equilateral , or isosceles , the propo- sition is manifestly true . But let it be a scalene A : Then , since ( E. 20. 1. ) any two sides of the △ are the third ...
... greater than the difference between the other two sides . If , the A be equilateral , or isosceles , the propo- sition is manifestly true . But let it be a scalene A : Then , since ( E. 20. 1. ) any two sides of the △ are the third ...
Side 13
... greater than the double of the straight line which joins the vertex and the bisection of the base . Let ABC be any given A , and let AD be the B D E straight line joining the vertex A , and the bisec- tion , D , of the base BC : AB + AC ...
... greater than the double of the straight line which joins the vertex and the bisection of the base . Let ABC be any given A , and let AD be the B D E straight line joining the vertex A , and the bisec- tion , D , of the base BC : AB + AC ...
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Vanlige uttrykk og setninger
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