Elements of GeometryGinn and Heath, 1881 - 250 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 10.
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 1 1 a : b : : . € d If we have two quantities a and b , and the reciprocals of these ...
... 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 1 1 a : b : : . € d If we have two quantities a and b , and the reciprocals of these ...
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 c d . We are to prove a c : b : d . Now , 810 α C = Multiply each member of the equation by C a b Then = C d ' or , a c : b : d ...
... quantities of the same kind be in propor- tion , they will be in proportion by alternation . Let a b c d . We are to prove a c : b : d . Now , 810 α C = Multiply each member of the equation by C a b Then = C d ' or , a c : b : d ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
A B C AABC AACB ABCD acute adjacent angles alt.-int altitude apothem arc A B BC² bisect centre chord A B 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 Iden isosceles triangle Let A B limit line A B measured by arc middle point number of sides parallelogram perimeter perpendicular 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 variable vertex vertices