Orr's Circle of the Sciences: Organic nature, vols. 1-3 (1854-1856)William Somerville Orr W.S. Orr and Company, 1854 |
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Σελίδα v
... given of the mode of constructing tables that give for fixed intervals , e.g. of l ′ or of 10 ′′ , the sines , & c . , of every angle from 0 ° up to 90 ° , and the logarithms of those sines , & c ; this part of the subject being ...
... given of the mode of constructing tables that give for fixed intervals , e.g. of l ′ or of 10 ′′ , the sines , & c . , of every angle from 0 ° up to 90 ° , and the logarithms of those sines , & c ; this part of the subject being ...
Σελίδα 28
... given will always effect the object proposed by it ; but not always in the shortest way . In particular cases it will be desirable to proceed differently . Thus , if the fractions ,,, are to be changed into equivalent ones with a common ...
... given will always effect the object proposed by it ; but not always in the shortest way . In particular cases it will be desirable to proceed differently . Thus , if the fractions ,,, are to be changed into equivalent ones with a common ...
Σελίδα 32
... given , we have only to divide the second by the first , and to multiply the third by the abstract number furnished by the quotient . Now , if the first and second terms are concrete quantities , you know that you cannot divide one by ...
... given , we have only to divide the second by the first , and to multiply the third by the abstract number furnished by the quotient . Now , if the first and second terms are concrete quantities , you know that you cannot divide one by ...
Σελίδα 33
... given terms be greater or less than the first . This is called stating the question . 2. Having thus properly stated the question , bring the first and second terms to the same denomination ; and regard the results as abstract numbers ...
... given terms be greater or less than the first . This is called stating the question . 2. Having thus properly stated the question , bring the first and second terms to the same denomination ; and regard the results as abstract numbers ...
Σελίδα 35
... given quantities which is of the same kind as the quantity sought , just as in the single rule of three . Then taking any pair of the remaining quantities like in kind , complete the stating , as if for the single rule of three , paying ...
... given quantities which is of the same kind as the quantity sought , just as in the single rule of three . Then taking any pair of the remaining quantities like in kind , complete the stating , as if for the single rule of three , paying ...
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 86 - If two triangles have two sides of the one equal to two sides of the...
Σελίδα 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...
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 47 - Let it be granted that a straight line may be drawn from any one point to any other point.
Σελίδα 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.
Σελίδα 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.
Σελίδα 46 - A rhombus, is that which has all its sides equal, but its angles are not right angles.
Σελίδα 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.