Elements of GeometryGinn, Heath, & Company, 1882 - 250 σελίδες |
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Αποτελέσματα 1 - 5 από τα 9.
Σελίδα 86
... quantities are commensurable if there be some third quantity of the same kind which is contained an exact number of times in each . This third quantity is called the common measure of these quantities , and each of the given quantities ...
... quantities are commensurable if there be some third quantity of the same kind which is contained an exact number of times in each . This third quantity is called the common measure of these quantities , and each of the given quantities ...
Σελίδα 128
... quantities com- pared . 246. DEF . The Antecedent of a ratio is its first term . 247. DEF . The Consequent of a ratio is its second term . 248. DEF . A Proportion is an expression of equality be- tween two equal ratios . A proportion ...
... quantities com- pared . 246. DEF . The Antecedent of a ratio is its first term . 247. DEF . The Consequent of a ratio is its second term . 248. DEF . A Proportion is an expression of equality be- tween two equal ratios . A proportion ...
Σελίδα 129
... quantities are Reciprocally Proportional when the first is to the second as the reciprocal of the third is to the reciprocal of the fourth . Thus a : b :: 1 с • 1 d If we have two quantities a and b , and the reciprocals of these quantities ...
... quantities are Reciprocally Proportional when the first is to the second as the reciprocal of the third is to the reciprocal of the fourth . Thus a : b :: 1 с • 1 d If we have two quantities a and b , and the reciprocals of these quantities ...
Σελίδα 131
... quantities can be expressed in integers . In such cases , however , it is possible to find a fraction that will represent the ratio to any required degree of accuracy . Thus , if a and b denote two incommensurable lines , and b be ...
... quantities can be expressed in integers . In such cases , however , it is possible to find a fraction that will represent the ratio to any required degree of accuracy . Thus , if a and b denote two incommensurable lines , and b be ...
Σελίδα 132
... quantities of the same kind be in propor- tion , they will be in proportion by alternation . Let a : b :: с : d . We are to prove a : c :: b : d . Now , 810 с = Multiply each member of the equation by Then or , α C = b d a : cb : d ...
... quantities of the same kind be in propor- tion , they will be in proportion by alternation . Let a : b :: с : d . We are to prove a : c :: b : d . Now , 810 с = Multiply each member of the equation by Then or , α C = b d a : cb : d ...
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.