Elements of GeometryGinn, Heath & Company, 1884 |
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Σελίδα v
... Ratio , and Limits . The changes are not sufficient to prevent the simulta- neous use of the old and new editions in the class ; still they are very important , and have been made after the most careful and prolonged consideration . I ...
... Ratio , and Limits . The changes are not sufficient to prevent the simulta- neous use of the old and new editions in the class ; still they are very important , and have been made after the most careful and prolonged consideration . I ...
Σελίδα 86
... Ratio , and this ratio is always an ab- stract number . When two quantities of the same kind are measured by the same unit , their ratio is the ratio of their numerical measures . 195. The ratio of a to b is written is meant : How many ...
... Ratio , and this ratio is always an ab- stract number . When two quantities of the same kind are measured by the same unit , their ratio is the ratio of their numerical measures . 195. The ratio of a to b is written is meant : How many ...
Σελίδα 87
... ratio correct within b ' m ' n 1 • n2 is a nearer approximate value By continuing this process , a series of 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 ...
... ratio correct within b ' m ' n 1 • n2 is a nearer approximate value By continuing this process , a series of 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 ...
Σελίδα 89
... ratio , their limits are in the same ratio . For , let x and y be two variables having the constant ratio r , then X = r , or , x = ry , therefore y lim . ( x ) lim . ( y ) = r . lim . ( x ) = lim . ( r y ) = r × lim . ( y ) , therefore ...
... ratio , their limits are in the same ratio . For , let x and y be two variables having the constant ratio r , then X = r , or , x = ry , therefore y lim . ( x ) lim . ( y ) = r . lim . ( x ) = lim . ( r y ) = r × lim . ( y ) , therefore ...
Σελίδα 91
... ratio as the angles which they subtend at the centre . B h H K P In the circle APC let the two arcs be A B and AC , and AO B and AOC the which they subtend . We are to prove arc AB arc A C = ZAOB ZAOC Let HK be a common measure of A B ...
... ratio as the angles which they subtend at the centre . B h H K P In the circle APC let the two arcs be A B and AC , and AO B and AOC the which they subtend . We are to prove arc AB arc A C = ZAOB ZAOC Let HK be a common measure of A B ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
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