The Common Sense of the Exact SciencesD. Appleton, 1891 - 271 σελίδες |
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Σελίδα xii
... Determined by Directed Steps • . 149 3 . The Addition of Directed Steps or Vectors . 153 4 . The Addition of Vectors obeys the Commutative Law · · . 158 5 . On Methods of Determining Position in a Plane · 159 6. Polar Co - ordinates 7 ...
... Determined by Directed Steps • . 149 3 . The Addition of Directed Steps or Vectors . 153 4 . The Addition of Vectors obeys the Commutative Law · · . 158 5 . On Methods of Determining Position in a Plane · 159 6. Polar Co - ordinates 7 ...
Σελίδα 40
... determined by the number of reversals . § 13. Addition and Multiplication of Operations . We may now go on to find a rule which connects together the multiplication and the addition of steps . If I multiply separately the steps +3 and 7 ...
... determined by the number of reversals . § 13. Addition and Multiplication of Operations . We may now go on to find a rule which connects together the multiplication and the addition of steps . If I multiply separately the steps +3 and 7 ...
Σελίδα 80
... determine a circle , viz . the circle circumscribing the triangle formed by the three lines . Four straight lines determine four sets of three lines by leaving out each in turn ; and the four circles belonging to these sets of three ...
... determine a circle , viz . the circle circumscribing the triangle formed by the three lines . Four straight lines determine four sets of three lines by leaving out each in turn ; and the four circles belonging to these sets of three ...
Σελίδα 81
... determines a point as the intersection of the same number of circles . If we take one line more , this odd number ( 2n + 1 ) deter- mines as many sets of 2n lines , and to each of these sets belongs a point ; these 2n + 1 points lie on ...
... determines a point as the intersection of the same number of circles . If we take one line more , this odd number ( 2n + 1 ) deter- mines as many sets of 2n lines , and to each of these sets belongs a point ; these 2n + 1 points lie on ...
Σελίδα 122
... to a triangle of equal area , and thus to determine the area the figure encloses by finally shearing this triangle into a right - angled triangle . For example , let ABCDE be a portion 122 THE COMMON SENSE OF THE EXACT SCIENCES .
... to a triangle of equal area , and thus to determine the area the figure encloses by finally shearing this triangle into a right - angled triangle . For example , let ABCDE be a portion 122 THE COMMON SENSE OF THE EXACT SCIENCES .
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Συχνά εμφανιζόμενοι όροι και φράσεις
A B C Archimedes arrangements body centre circle circumference clockwise coincide commutative law complex number Conon of Samos consider containing convert cose count counter-clockwise cube curve cylinder denoted determine directed step distance divide dots edge ellipse equiangular spiral expressed exterior angle figure five times six four fourth proportional fraction geometrical grow at logarithmic Hence hyperbola lemniscate length letters logarithmic rate logarithmic spiral loop magnitude means measure motion move Natural logarithms operation parabola parallel parallelogram perpendicular plane position quantity quaternion radius ratio rectangle represent result reverse right angles right six-face round scalar shadow shape side smooth-points space sphere spiral square step A P step backwards step forwards straight line stretch surface symbol tangent termed theorem tion triangle turn unit angle unity vector steps velocity
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