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
... 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 , if either of those ...
... 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 , if either of those ...
Side 64
... difference of the two acute angles of the triangle . Let the A , of the A BAC be a right ; let B E D AE be drawn to the bisection E , of the hypote- nuse BC , and let AD be drawn perpendicular to BC : The 4 EAD = 2C - 2 B. For ( S. 29 ...
... difference of the two acute angles of the triangle . Let the A , of the A BAC be a right ; let B E D AE be drawn to the bisection E , of the hypote- nuse BC , and let AD be drawn perpendicular to BC : The 4 EAD = 2C - 2 B. For ( S. 29 ...
Side 85
... differences of the figures . 1 First let there be three such given rectilineal figures . Make ( E. 45. 1. ) the FH equal to the X 0 M L N I K R H F P Q greatest of the given figures , having its FGH of any given magnitude ; produce GH ...
... differences of the figures . 1 First let there be three such given rectilineal figures . Make ( E. 45. 1. ) the FH equal to the X 0 M L N I K R H F P Q greatest of the given figures , having its FGH of any given magnitude ; produce GH ...
Side 86
... difference of the PH and FK QH or ( E. 36. 1. ) of KI and NM ; and the is the difference of the FH and PH , or of FH and KI : Whence it is manifest that the proposition is true , when three rectilineal figures are taken : And it may ...
... difference of the PH and FK QH or ( E. 36. 1. ) of KI and NM ; and the is the difference of the FH and PH , or of FH and KI : Whence it is manifest that the proposition is true , when three rectilineal figures are taken : And it may ...
Side 94
... difference between the squares of the former and the squares of the latter , is the double of the difference between the two rectangles . A Let the given straight line AB be divided into K CDB two unequal parts , in the point C , and ...
... difference between the squares of the former and the squares of the latter , is the double of the difference between the two rectangles . A Let the given straight line AB be divided into K CDB two unequal parts , in the point C , 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