The Practical Arithmetic: In which the Principles of Operating by Numbers are Analytically Explained and Synthetically Applied ... |
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Page 153
... sine DC 6 chains , and the chord AH 16 , to find the diameter CE . Cir . ter cam H Chord ence . Diame RULE . Divide the SQUARE of HALF THE CHORD by the VERSED SINE , and add the QUOTIENT to the SINE . 826 10.666 & c . which added to 6 ...
... sine DC 6 chains , and the chord AH 16 , to find the diameter CE . Cir . ter cam H Chord ence . Diame RULE . Divide the SQUARE of HALF THE CHORD by the VERSED SINE , and add the QUOTIENT to the SINE . 826 10.666 & c . which added to 6 ...
Page 154
... sine 58.49 . NOTE . Here the area of the triangle must be subtracted from that of the sector . Ans . 7248.25 . cir- Ans . 28224 -cu- Cherd B 33. If the chord AB , of the segment ADBFA , be 136 links , do . of BF 146 , of Bg or gF 86 ...
... sine 58.49 . NOTE . Here the area of the triangle must be subtracted from that of the sector . Ans . 7248.25 . cir- Ans . 28224 -cu- Cherd B 33. If the chord AB , of the segment ADBFA , be 136 links , do . of BF 146 , of Bg or gF 86 ...
Page 160
... SINE of any arch is a RIGHT LINE * drawn from ONE EXTREMITY of it perpendicular to a diameter passing through the OTHER EXTREMITY . 390. The VERSED SINE is that part of the diameter be- tween the SINE and the PERIPHERY . † 391. The ...
... SINE of any arch is a RIGHT LINE * drawn from ONE EXTREMITY of it perpendicular to a diameter passing through the OTHER EXTREMITY . 390. The VERSED SINE is that part of the diameter be- tween the SINE and the PERIPHERY . † 391. The ...
Page 161
... SINE required . Also , from 1. , take a220.0000000423079 , & c . And it leaves .9999999577 , the COSINE . 2. Required the sine and cosine of 5 minutes . Ans . , the sine is .08715574 , & cosine , .9961947 . 396. After the same manner , the ...
... SINE required . Also , from 1. , take a220.0000000423079 , & c . And it leaves .9999999577 , the COSINE . 2. Required the sine and cosine of 5 minutes . Ans . , the sine is .08715574 , & cosine , .9961947 . 396. After the same manner , the ...
Page 162
... Sine . Cosine . D. M. 0 ° 30 ' .0087 , 2653 .9999 , 6192 89 ° 30 ′ 1 30 .0261 , 7694 .9996 , 5732 88 30 2 30 .0436 ... Sine . D. M. D. Sine . Cosine . 291 291 291 291 291 162 ARITHMETIC .
... Sine . Cosine . D. M. 0 ° 30 ' .0087 , 2653 .9999 , 6192 89 ° 30 ′ 1 30 .0261 , 7694 .9996 , 5732 88 30 2 30 .0436 ... Sine . D. M. D. Sine . Cosine . 291 291 291 291 291 162 ARITHMETIC .
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The Practical Arithmetic: In Which the Principles of Operating by Numbers ... T. H. Babcock No preview available - 2018 |
The Practical Arithmetic: In Which the Principles of Operating by Numbers ... T. H. Babcock No preview available - 2015 |
Common terms and phrases
3grs 3qrs acres amount angle annuity answer apples arithmetical progression barrels Bought bushels called ciphers composite number compound interest COMPOUND NUMBERS containing Cosine cost cube root currency decimal diameter distance divided dividend Divis division divisor dollars dominical letter drams EPACT equal evident EXAMPLES farthings Federal money frustum gallons given number gives globe grains half Hence hogshead hundred Illus improper fraction last term least common multiple length less measure miles minuend minutes mixed number months multiplicand Multiply New-York NOTE number of terms obtain ounces pence perpendicular pound present worth principal quantity quarts quotient figure rate per cent ratio Reduce remainder repetend right hand RULE shillings side simple numbers SINE sold solid specific gravity square rods square root subtract subtrahend Suppose TABLE tens THEORETICAL QUESTIONS third triangle units velocity vulgar fraction weight whole number yard
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Page 6 - An Act, supplementary to an Act, entitled an Act for the Encouragement of Learning, by securing the Copies of Maps, Charts, and. Books, to the Authors and Proprietors of such Copies, during the times therein mentioned...
Page 6 - District Clerk's Office. Be it remembered, That on the tenth day of August, AD 1827, in the fifty-second year of the independence of the United States of America, WILLIAM EMMONS, of the said district, has deposited in this Office the title of a Book, the right whereof he claims as proprietor in the words following, to wit: " The FREDONIAD; or, Independence Preserved.
Page 9 - EF, or his certain attorney, his executors, administrators, or assigns, to which payment, well and truly to be made, I bind myself, my heirs, executors, and administrators, firmly by these presents.
Page 76 - RULE. Divide as in whole numbers, and from the right hand of the quotient point off as many places for decimals as the decimal places in the dividend exceed those in the divisor.
Page 37 - OPERATIONS WITH FRACTIONS A) To change a mixed number to an improper fraction, simply multiply the whole number by the denominator of the fraction and add the numerator.
Page 147 - The power is applied to the circumference of the wheel, and the weight to the circumference of the axle.
Page 131 - Multiply together the powers belonging to those indices, and their product, multiplied by the first term, will be the term sought. 2. If the first term be 5, and the ratio 3, what is the 8th term ? Powers of the ratio, with U g 3_ + * — 2187 X 5 first their indices over them. ) <3, ,9, 27
Page 103 - Multiply each payment by its term of credit, and divide the sum of the products by the sum of the payments ; the quotient will be the average term of credit.
Page 133 - Raise the ratio to a power whose index is equal to the number of terms, from which subtract 1 ; divide the remainder by the ratio, less 1, and the quotient, multiplied by the first term, will be the answer.
Page 114 - When first the marriage knot was tied Betwixt my wife and me, My age did hers as far exceed As three times three does three ; , But when ten years and half ten years We man and wife had been, Her age came up as near to mine As eight is to sixteen. Now tell me, I pray, What were our ages on the wedding-day...