A Complete Treatise on the Mensuration of Timber: Containing, Besides All the Rules Usually Given on the Subject, Some New and Interesting Improvements, Particularly the New Expeditions, and Very Accurate Method of Calculating the Contents of Square and Round Timber, Etc |
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Page 16
... bers , teaches how to find a fourth proportional to three numbers given . RULE . Reduce the fractions and uneven parts to decimals , ftate the queftion as in whole numbers , multiply the fecond and third together , and divide by the ...
... bers , teaches how to find a fourth proportional to three numbers given . RULE . Reduce the fractions and uneven parts to decimals , ftate the queftion as in whole numbers , multiply the fecond and third together , and divide by the ...
Page 17
... bers , teaches by having three given numbers , to find a fourth , which fhall have the fame proportion to the second as the first has to the third . RULE . State and reduce the terms as in the rule of three direct in decimals , then ...
... bers , teaches by having three given numbers , to find a fourth , which fhall have the fame proportion to the second as the first has to the third . RULE . State and reduce the terms as in the rule of three direct in decimals , then ...
Page 19
... bers as 3 , 7 , 19 , 74 , 156 , 751 , & c . whofe roots cannot be found exactly , neither in whole numbers , or fractions , but fomething will remain . The root of any fingle fquare number is found by in- fpection , in the foregoing ...
... bers as 3 , 7 , 19 , 74 , 156 , 751 , & c . whofe roots cannot be found exactly , neither in whole numbers , or fractions , but fomething will remain . The root of any fingle fquare number is found by in- fpection , in the foregoing ...
Page 22
... bers are 5 , 7 , 36 , 160 , 1526 , & c . The root of any fingle cube number is found by inspec- tion in the foregoing table . But if it be a compound , or irrational cube number , it must be prepared by pointing thus : Make a point ...
... bers are 5 , 7 , 36 , 160 , 1526 , & c . The root of any fingle cube number is found by inspec- tion in the foregoing table . But if it be a compound , or irrational cube number , it must be prepared by pointing thus : Make a point ...
Page 25
... bers . RULE . Multiply the given numbers together , and extract the fquare root of the product , which will be the mean pro- portional . EXAMPLE . What is the mean proportional between 16 and 64 ? 64 16 384 64 1024 ( 32 Answer . 9 62 ) ...
... bers . RULE . Multiply the given numbers together , and extract the fquare root of the product , which will be the mean pro- portional . EXAMPLE . What is the mean proportional between 16 and 64 ? 64 16 384 64 1024 ( 32 Answer . 9 62 ) ...
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Common terms and phrases
11 inches 19 feet 21 feet 3d power 9 inches againſt alfo baſe bers breadth and thickneſs circle being given circumference or girt Common method compaffes from 12 cube numbers cube root cubick feet cyphers decimal fraction diameter divided dividend divifions divifor Duodecimally EXAMPLE Extend the compaffes extent will reach extract the fquare fame feconds feet long feet the content feet the length find the fide find the folid firſt folid content foot in length fquare root fquare timber FRANCIS SKINNER ftands fuch fuperficial content gallons given number given to find Gunter's fcale inches broad inches fquare integer length in feet mean area mean girt mean proportional Multiply the fquare PROBLEM Queft quotient reach from 21 reduced to cubick Required the content Required the folid round log Scale and Compaffes Sliding rule ſquare tapering thick True content True method uſe whofe root whole numbers ΙΟ
Popular passages
Page 2 - BBOWN, of the said district, hath deposited in this office the title of a book, the right whereof he claims as author, in the words following, to wit : " Sertorius : or, the Roman Patriot.
Page 14 - Denomination given, annex a competent Number of Cyphers, and divide by the Number of fuch Parts that are contained in the greater Denomination, to which the Decimal is to be be brought ; and the Quotient is the Decimal fought.
Page 12 - Multiply the remainder by the next inferior denomination, and cut off a remainder as before ; and so on through all the parts of the integer, and the several denominations standing on the left hand, make the answer.
Page 22 - EXTRACTION OF THE CUBE ROOT. A CUBE is any number multiplied by its square. To extract the cube root, is to find a number which, being multiplied into its square, shall produce the given number. RULE.
Page 33 - Dimenfions are generally taken in fret, inches, and parts. Inches and parts are fometimes called primes, feconds, thirds, &c. and are marked thus : inches or primes, ('}, feconds ("), thirds (>"), fourths (""), &c.
Page 18 - THE RAISING OF POWERS. A power is the product arising from multiplying any given number into itself continually a certain number of times; thus, 2x2= 4 the second power or square of 2.
Page 13 - DIVIDE by the number of parts in the next higher denomination ; continuing the operation to as many higher denominations as may be necessary, the same as in ReductionAscending of whole numbers.
Page 17 - Multiply the first and second terms together, and divide the product by the third ; the quotient will be the answer in the same denomination as the middle term was reduced into.
Page 9 - Rule. at the right hand, add up all the columns of numbers as in integers; and point off as many places for decimals, as are in the greatest number of decimal places in any of the lines that are added ; or place the point directly below all the other points.
Page 11 - REDUCTION OF DECIMALS. CASE I. To reduce a Vulgar Fraction to its equivalent Decimal. RULE. Annex cyphers to the numerator, and divide by the denominator ; and the quotient will be the decimal required.