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 10
... multiplying one number by another , provided neither be greater than 12 , must be committed to memory ; it is one of ... multiplied , the multiplicand ; and the result obtained , and which , as just stated , is the same as would be got ...
... multiplying one number by another , provided neither be greater than 12 , must be committed to memory ; it is one of ... multiplied , the multiplicand ; and the result obtained , and which , as just stated , is the same as would be got ...
Page 11
... multiply 6432 by 4. The multiplier 4 being placed under the multiplicand 6432 , as in the margin , we proceed thus ... multiplying that number by 10 , 100 , & c . , according as it is written once , twice , & c . = = 42619200 . The sign ...
... multiply 6432 by 4. The multiplier 4 being placed under the multiplicand 6432 , as in the margin , we proceed thus ... multiplying that number by 10 , 100 , & c . , according as it is written once , twice , & c . = = 42619200 . The sign ...
Page 12
... multiplying figure , which supplies that product . It is worthy of notice , too , that the product will always be the same , whichever of the two numbers be regarded as the multiplier : you may easily satisfy yourself that 426 multiplied ...
... multiplying figure , which supplies that product . It is worthy of notice , too , that the product will always be the same , whichever of the two numbers be regarded as the multiplier : you may easily satisfy yourself that 426 multiplied ...
Page 15
... Multiply the divisor by this first quotient - figure , and subtract the product from the number formed by the leading ... multiplied by this 8 , we must attend to the carryings , we perceive that 8 346 ) 256438 ( 741 2422 1423 1384 398 ...
... Multiply the divisor by this first quotient - figure , and subtract the product from the number formed by the leading ... multiplied by this 8 , we must attend to the carryings , we perceive that 8 346 ) 256438 ( 741 2422 1423 1384 398 ...
Page 16
... multiplying and subtracting , we get 39 for the second remainder ; and , by bringing down another figure , 398 for a ... multiply it 472 102 and the divisor together : the product will 16 SIMPLE DIVISION .
... multiplying and subtracting , we get 39 for the second remainder ; and , by bringing down another figure , 398 for a ... multiply it 472 102 and the divisor together : the product will 16 SIMPLE DIVISION .
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.