Elements of GeometryGinn, Heath, & Company, 1882 - 250 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 17.
Σελίδα 93
... means that an angle at the centre is such part of the angular magnitude about that point ( four right angles ) as its intercepted arc is of the whole circumference . A circumference is divided into 360 equal arcs , and each arc is ...
... means that an angle at the centre is such part of the angular magnitude about that point ( four right angles ) as its intercepted arc is of the whole circumference . A circumference is divided into 360 equal arcs , and each arc is ...
Σελίδα 128
... are the first and fourth terms . 250. The Means in a proportion are the second and third terms . 251. DEF . In the proportion a : b :: PROPORTIONAL LINES AND SIMILAR POLYGONS THEORY OF PROPORTION PROPORTIONAL LINES SIMILAR POLYGONS.
... are the first and fourth terms . 250. The Means in a proportion are the second and third terms . 251. DEF . In the proportion a : b :: PROPORTIONAL LINES AND SIMILAR POLYGONS THEORY OF PROPORTION PROPORTIONAL LINES SIMILAR POLYGONS.
Σελίδα 129
... Mean Proportional between a and c . 254. DEF . Four quantities are Reciprocally Proportional when the first is to ... means , or the extremes , are made to exchange places . Thus in the proportion a : b :: c : d , we have either dbc : a ...
... Mean Proportional between a and c . 254. DEF . Four quantities are Reciprocally Proportional when the first is to ... means , or the extremes , are made to exchange places . Thus in the proportion a : b :: c : d , we have either dbc : a ...
Σελίδα 130
... to the product of the means . Let a b :: c : d . : We are to prove a d = bc . Now a b = с whence , by multiplying by bd , ad = bc . Q. E. D. In the treatment of proportion , it is assumed that 130 GEOMETRY.- BOOK III .
... to the product of the means . Let a b :: c : d . : We are to prove a d = bc . Now a b = с whence , by multiplying by bd , ad = bc . Q. E. D. In the treatment of proportion , it is assumed that 130 GEOMETRY.- BOOK III .
Σελίδα 131
... mean proportional between two quantities is equal to the square root of their product . In the proportion a : b :: b : c , b2 = a c , ( the product of the extremes is equal to the product of the means ) . Whence , extracting the square ...
... mean proportional between two quantities is equal to the square root of their product . In the proportion a : b :: b : c , b2 = a c , ( the product of the extremes is equal to the product of the means ) . Whence , extracting the square ...
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.