Elements of GeometryGinn and Heath, 1877 - 250 σελίδες |
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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 " m " n n2 n3 " etc. , will be obtained , which will differ less and α less from the exact value of We may thus find a fraction which shall differ from this exact value by as little as we please , that is , by ...
... variable values , m ' m " m " n n2 n3 " etc. , will be obtained , which will differ less and α less from the exact value of We may thus find a fraction which shall differ from this exact value by as little as we please , that is , by ...
Σελίδα 88
... variable , which indefinitely approaches the constant zero as its limit . If the length of AB be two inches , and the variable be denoted by x , and the difference between the variable and its limit , by v : after one second , after two ...
... variable , which indefinitely approaches the constant zero as its limit . If the length of AB be two inches , and the variable be denoted by x , and the difference between the variable and its limit , by v : after one second , after two ...
Σελίδα 89
... variables AM and AN be always equal , and let AC and A B be their respective limits . We are to prove A C A B. A M N ... variables be in a constant ratio , For , let x and y be two variables having the constant ratio r , then X - r ...
... variables AM and AN be always equal , and let AC and A B be their respective limits . We are to prove A C A B. A M N ... variables be in a constant ratio , For , let x and y be two variables having the constant ratio r , then X - r ...
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 ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
A B C AABC AACB 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 exterior angles figure given line given point given polygon given straight line greater homologous sides hypotenuse isosceles triangle Let A B Let ABC limit line A B measured by arc middle point number of sides parallelogram perimeter perpendicular 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 variable vertex vertices