Elements of GeometryGinn and Heath, 1881 - 250 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 22.
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 ' n2 is a nearer approximate value 1 22 By continuing this process , a series of variable values , m ' m " etc. , will be obtained , which will differ less and m n n2 a less from the exact value of We b • may ...
... ratio correct within b ' m ' n2 is a nearer approximate value 1 22 By continuing this process , a series of variable values , m ' m " etc. , will be obtained , which will differ less and m n n2 a less from the exact value of We b • may ...
Σελίδα 89
... ratio . Q. E. D. variables be in a constant ratio , For , let x and y be two variables having the constant ratio r , then X --- У r , or , x = ry , therefore lim . ( x ) = lim . ( ry ) = rX lim . ( y ) , therefore lim . ( x ) lim . ( y ) ...
... ratio . Q. E. D. variables be in a constant ratio , For , let x and y be two variables having the constant ratio r , then X --- У r , or , x = ry , therefore lim . ( x ) = lim . ( ry ) = rX lim . ( y ) , therefore lim . ( x ) lim . ( y ) ...
Σελίδα 91
... ratio as the angles which they subtend at the centre . A e B f H K P In the circle APC let the two arcs be AB and AC , and AOB and AOC the which they subtend . We are to prove arc AB 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 f H K P In the circle APC let the two arcs be AB and AC , and AOB and AOC the which they subtend . We are to prove arc AB 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 AB² ABCD adjacent angles apothem arc A B base and altitude BC² centre centre of symmetry circumference circumscribed construct a square COROLLARY decagon 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 homologous sides hypotenuse intersecting 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 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 126 - To describe an isosceles triangle having each of the angles at the base double of the third angle.
Σελίδα 136 - The first of four magnitudes is said to have the same ratio to the second which the third has to the fourth, when...
Σελίδα 207 - Construct a rectangle having the difference of its base and altitude equal to a given line, and its area equivalent to the sum of a given triangle and a given pentagon.
Σελίδα 202 - In any proportion, the product of the means is equal to the product of the extremes.
Σελίδα 142 - If a line divides two sides of a triangle proportionally, it is parallel to the third side.
Σελίδα 175 - Any two rectangles are to each other as the products of their bases by their altitudes.
Σελίδα 72 - Every point in the bisector of an angle is equally distant from the sides of the angle ; and every point not in the bisector, but within the angle, is unequally distant from the sides of the angle.
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 146 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. A D A' Hyp. In triangles ABC and A'B'C', To prove AABC A A'B'C' A'B' x A'C ' Proof. Draw the altitudes BD and B'D'.