Elements of GeometryGinn, Heath & Company, 1884 |
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Σελίδα vi
... variable altitude x , will afford an obvious illustration of the axiomatic truth contained in [ 4 ] , page 88. If x increase and approach the altitude a as a limit , the area of the rec- tangle increases and approaches the area of the ...
... variable altitude x , will afford an obvious illustration of the axiomatic truth contained in [ 4 ] , page 88. If x increase and approach the altitude a as a limit , the area of the rec- tangle increases and approaches the area of the ...
Σελίδα 87
... variable values , m ' m " etc. , will be obtained , which will differ less and m " 29 n n n3 " a less from the exact value of We b ' may thus find a fraction which shall differ from this exact value by as little as we please , that is ...
... variable values , m ' m " etc. , will be obtained , which will differ less and m " 29 n n n3 " a less from the exact value of We b ' may thus find a fraction which shall differ from this exact value by as little as we please , that is ...
Σελίδα 88
... variable , which indefinitely approaches the constant AB as its limit ; and the distance from the moving point to B is a decreasing variable , which indefinitely approaches the con- stant zero as its limit . If the length of AB be two ...
... variable , which indefinitely approaches the constant AB as its limit ; and the distance from the moving point to B is a decreasing variable , which indefinitely approaches the con- stant zero as its limit . If the length of AB be two ...
Σελίδα 89
... variables AM and AN be always equal , and let A C and A B be their respective limits . We are to prove A C A B ... variables be in a constant ratio , their limits are in the same ratio . For , let x and y be two variables having the ...
... variables AM and AN be always equal , and let A C and A B be their respective limits . We are to prove A C A B ... variables be in a constant ratio , their limits are in the same ratio . For , let x and y be two variables having the ...
Σελίδα 90
... variables is the product of their limits . Let x , y , z , be variables , a , b , c , their respective limits , and v , v ' , v ' ' , the variable differences between x , y , z , and a , b , c , respectively . Now , We are to prove lim ...
... variables is the product of their limits . Let x , y , z , be variables , a , b , c , their respective limits , and v , v ' , v ' ' , the variable differences between x , y , z , and a , b , c , respectively . Now , We are to prove lim ...
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A B C AABC ABCD adjacent angles alt.-int altitude apothem arc A B bisect centre circumference circumscribed coincide COROLLARY describe an arc diagonals diameter divided Draw equal arcs equal distances equal respectively equiangular polygon equilateral equilateral polygon equivalent exterior angles figure given line given point given polygon greater homologous sides hypotenuse isosceles triangle Let A B Let ABC limit line A B Mailing price measured by arc middle point number of sides parallelogram perimeter perpendicular PHILLIPS EXETER ACADEMY plane PROBLEM prove Q. E. D. PROPOSITION quadrilateral radii radius equal ratio rect rectangles regular inscribed regular polygon required to construct rhombus right angles right triangle SCHOLIUM segment sides of equal sides of similar similar polygons subtend tangent THEOREM third side triangle ABC vertex vertices Wentworth