Elements of GeometryGinn, Heath, & Company, 1882 - 250 σελίδες |
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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 . α 195. The ratio of a to b is written , is meant : How ...
... 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 . α 195. The ratio of a to b is written , is meant : How ...
Σελίδα 87
... ratio , correct within b ' m ' n2 is a nearer approximate value 1 2 n By continuing this process , a series of variable values , m'm " n2 n n2 39 etc. , will be obtained , which will differ less and less from the exact value of α We may ...
... ratio , correct within b ' m ' n2 is a nearer approximate value 1 2 n By continuing this process , a series of variable values , m'm " n2 n n2 39 etc. , will be obtained , which will differ less and less from the exact value of α We may ...
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 = y r , or , x = ry , therefore lim . ( x ) = lim . ( r y ) = r × lim . ( y ) , therefore · lim . ( x ) lim . ( y ) = r ...
... ratio , their limits are in the same ratio . For , let x and y be two variables having the constant ratio r , then X = y r , or , x = ry , therefore lim . ( x ) = lim . ( r y ) = r × lim . ( y ) , therefore · lim . ( x ) lim . ( y ) = r ...
Σελίδα 91
... ratio as the angles which they subtend at the centre . A e B h H K P In the cirele APC let the two arcs be AB and A C , and AOB and AOC the which they subtend . We are to prove arc A B ZAOB = • arc A C ZAOC Let HK be a common measure of ...
... ratio as the angles which they subtend at the centre . A e B h H K P In the cirele APC let the two arcs be AB and A C , and AOB and AOC the which they subtend . We are to prove arc A B ZAOB = • arc A C ZAOC Let HK be a common measure of ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
A B C D AABC AACB ABCD adjacent angles apothem arc A B base and altitude centre centre of symmetry chord circumscribed coincide construct a square COROLLARY decagon describe an arc diagonals diameter divided Draw equal arcs equal distances equal respectively equiangular equiangular polygon equilateral equilateral polygon exterior angles figure given circle given line given polygon given square hexagon homologous sides hypotenuse isosceles Let A B Let ABC line A B measured by arc middle point number of sides parallelogram perpendicular plane polygon ABC polygon similar PROBLEM prove Q. E. D. PROPOSITION quadrilateral radii radius equal ratio rect rectangles regular inscribed regular polygon required to construct right angles right triangle SCHOLIUM segment semicircle similar polygons square equivalent subtend symmetrical with respect tangent THEOREM triangle ABC vertex vertices
Δημοφιλή αποσπάσματα
Σελίδα 40 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Σελίδα 124 - To describe an isosceles triangle having each of the angles at the base double of the third angle.
Σελίδα 201 - In any proportion, the product of the means is equal to the product of the extremes.
Σελίδα 173 - Any two rectangles are to each other as the products of their bases by their altitudes.
Σελίδα 185 - In any obtuse triangle, the square of the side opposite the obtuse angle is equal to the sum of the squares of the other...
Σελίδα 73 - A CIRCLE is a plane figure bounded by a curved line, all the points of which are equally distant from a point within called the centre; as the figure ADB E.
Σελίδα 41 - The exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Σελίδα 140 - If a line divides two sides of a triangle proportionally, it is parallel to the third side.
Σελίδα 113 - From A as a centre, with a radius equal to o, describe an arc ; and from B as a centre, with a radius equal to m, describe an arc intersecting the former arc at С.
Σελίδα 155 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.