Dual Aritmetic: A New Art, Том 1

apparent altitude arc to radius beginning Binomial coefficient binomial theorem calculation co-efficients common division common logarithm common number continued product cosine decimal place divisor Dual Arithmetic dual developments dual digit dual number eight position equal equation factors find the value formulæ fourth given number gives a dot Hence hyperbolic log hyperbolic logarithm INTRODUCTORY EXAMPLES Lagrange's Theorem last figure Length of arc method minus moon's centre multiplied negative number corresponding obtained OLIVER BYRNE omitted once operation ordinary number places of decimals places of figures quotient readily found reduced represented required number Required the hyperbolic result seven places sine spherical angle spherical excess spherical triangle square root subtracted Table term third transform triangle ABC true altitude true distance true to seven twice u₁ ultimate value whole number ΙΟ Υπ دو