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 1
... less of hypothesis , or conjec- ture : there are obscure recesses , into which the light of truth and demonstration cannot penetrate , and where fancy and imagination are sometimes permitted to guide our steps . But there are no ...
... less of hypothesis , or conjec- ture : there are obscure recesses , into which the light of truth and demonstration cannot penetrate , and where fancy and imagination are sometimes permitted to guide our steps . But there are no ...
Page 4
... less palpable and strik- ing , and therefore less likely to be duly appreciated . We shall now proceed to the business before us ; we shall assume no knowledge at all on your part in reference to the topics to be discussed ; and , in ...
... less palpable and strik- ing , and therefore less likely to be duly appreciated . We shall now proceed to the business before us ; we shall assume no knowledge at all on your part in reference to the topics to be discussed ; and , in ...
Page 13
... less than 9 : note this result . Proceed in like manner with the figures of the multiplier ; noting the result . Multiply the two results together ; retaining , as before , only what is left after the rejection of all the nincs the new ...
... less than 9 : note this result . Proceed in like manner with the figures of the multiplier ; noting the result . Multiply the two results together ; retaining , as before , only what is left after the rejection of all the nincs the new ...
Page 16
... less than 2564 above it , so that we can obey the direction of the rule and subtract : the remainder is 142 , which , when the next figure of the dividend is brought down , becomes 1423. We now take this as a dividend ; and , looking ...
... less than 2564 above it , so that we can obey the direction of the rule and subtract : the remainder is 142 , which , when the next figure of the dividend is brought down , becomes 1423. We now take this as a dividend ; and , looking ...
Page 20
... less do we multiply by 20 shillings ( as some books direct us to do ) , for to attempt to multiply by shillings is to attempt an absurdity : " 20 shillings times 136 pounds , " is a mode of expression as ridiculous as it is meaningless ...
... less do we multiply by 20 shillings ( as some books direct us to do ) , for to attempt to multiply by shillings is to attempt an absurdity : " 20 shillings times 136 pounds , " is a mode of expression as ridiculous as it is meaningless ...
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.