Orr's Circle of the Sciences: Organic nature, vols. 1-3 (1854-1856)William Somerville Orr W.S. Orr and Company, 1854 - Science |
From inside the book
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Page vii
... Expressions The Convergent and Divergent Series . The Binomial Theorem 266 , 269 et seq . On the Calculation of Logarithms . . 275 Calculation of the Arithmetical Values of Quantities expressed by Infinite Series 275 of Book IV . • 116 ...
... Expressions The Convergent and Divergent Series . The Binomial Theorem 266 , 269 et seq . On the Calculation of Logarithms . . 275 Calculation of the Arithmetical Values of Quantities expressed by Infinite Series 275 of Book IV . • 116 ...
Page viii
... Expressions The Sines and Cosines of Multiples of given Angles Ambiguities arising from the use of Formulas . Numerical Value of Sines , Cosines , & c . 315 Trigonometrical Ratios of Angles 316 , 317 Formulas connecting inverse Trigono ...
... Expressions The Sines and Cosines of Multiples of given Angles Ambiguities arising from the use of Formulas . Numerical Value of Sines , Cosines , & c . 315 Trigonometrical Ratios of Angles 316 , 317 Formulas connecting inverse Trigono ...
Page 5
... expressing the value wholly in words , it is sixty - eight million , five hundred and forty- seven thousand , three hundred and twenty - nine . In a similar way we find the number 42638572613 , or 42,638,572,613 , to be 42 thousand 638 ...
... expressing the value wholly in words , it is sixty - eight million , five hundred and forty- seven thousand , three hundred and twenty - nine . In a similar way we find the number 42638572613 , or 42,638,572,613 , to be 42 thousand 638 ...
Page 7
... expression , that the first period will be a complete period , we prefix two noughts more . The requisite row of noughts , divided as proposed , is as in the margin , and under these we now have to write , in their proper places , the ...
... expression , that the first period will be a complete period , we prefix two noughts more . The requisite row of noughts , divided as proposed , is as in the margin , and under these we now have to write , in their proper places , the ...
Page 15
... expressing the number of times in the quotient's place . Multiply the divisor by this first quotient - figure , and subtract the product from the number formed by the leading figures of the dividend , and to the remainder annex the next ...
... expressing the number of times in the quotient's place . Multiply the divisor by this first quotient - figure , and subtract the product from the number formed by the leading figures of the dividend , and to the remainder annex the next ...
Common terms and phrases
ABCD Algebra arithmetic base Binomial Theorem bisect calculation called centre chord circumference coefficient common Completing the square contained cotan decimals denominator describe diameter divided dividend divisor draw ellipse equal angles equation equiangular equilateral Euclid EXAMPLES FOR EXERCISE expression exterior angle factors figure formula fraction frustum geometrical progression geometry given straight line greater h₂ Hence inscribed intersecting join latter less logarithm magnitudes manner measure multiplied operation parallel parallelogram perpendicular plane polygon prism Prop proportion proved Q. E. D. PROPOSITION quantity quotient radius ratio rectangle remainder result right angles rule sides sines solid angle sphere square root subtract suppose theorem third triangle ABC trigonometrical
Popular passages
Page 86 - If two triangles have two sides of the one equal to two sides of the...
Page 60 - If a straight line meets two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles...
Page 58 - ... equal angles in each ; then shall the other sides be equal each to each : and also the third angle of the one to the third angle of the other.
Page 45 - A circle is a plane figure contained by one line, which is called the circumference, and is such that all straight lines drawn from a certain point within the figure to the circumference, are equal to one another.
Page 190 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Page 47 - Let it be granted that a straight line may be drawn from any one point to any other point.
Page 151 - Equal parallelograms which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional ; and parallelograms that have one angle of the one equal to one angle of the other, and their sides about the equal angles reciprocally proportional, are equal to one another.
Page 96 - angle in a segment' is the angle contained by two straight lines drawn from any point in the circumference of the segment, to the extremities of the straight line which is the base of the segment.
Page 46 - A rhombus, is that which has all its sides equal, but its angles are not right angles.
Page 66 - From this it is manifest how to a given straight line to apply a parallelogram, which shall have an angle equal to a given rectilineal angle, and shall be equal to a given rectilineal figure, viz.