The Theory and Practice of Gauging, Demonstrated in a Short and Easy Method ... |
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Page vii
... nearly into Cylinders of the fame Length : From whence is deduced , occa- fionally , the common fixed Multipliers , and fhewn bow far they may be depended upon , in the Practice of Gauging . Next , a general Theorem is given , for the ...
... nearly into Cylinders of the fame Length : From whence is deduced , occa- fionally , the common fixed Multipliers , and fhewn bow far they may be depended upon , in the Practice of Gauging . Next , a general Theorem is given , for the ...
Page viii
... fince it never could happen fo , unless perfectly by Accident : The Maker having no thought of defigning them as fuch ; and befides , fhould a Gask approach nearly nearly in Figure to fuch a Solid , yet the viii PREFACE .
... fince it never could happen fo , unless perfectly by Accident : The Maker having no thought of defigning them as fuch ; and befides , fhould a Gask approach nearly nearly in Figure to fuch a Solid , yet the viii PREFACE .
Page ix
Robert Shirtcliffe. nearly in Figure to fuch a Solid , yet the Officer bas no manner of Rule to affift him in afcer- taining the fame ; fo that it is but mere guef fing at beft . But by the Method I here propofe , there is always a ...
Robert Shirtcliffe. nearly in Figure to fuch a Solid , yet the Officer bas no manner of Rule to affift him in afcer- taining the fame ; fo that it is but mere guef fing at beft . But by the Method I here propofe , there is always a ...
Page 19
... ( nearly : for 100a2 + is the given 10 > fquare Number , whofe Root is fuppofed 10a- + e , therefore 10ae2 = 100a2 + 20ae + ee = 100a2 + b , but 10a is much greater than whence e = b > 20a - te b b e , whence or 1 is nearly equal to e ...
... ( nearly : for 100a2 + is the given 10 > fquare Number , whofe Root is fuppofed 10a- + e , therefore 10ae2 = 100a2 + 20ae + ee = 100a2 + b , but 10a is much greater than whence e = b > 20a - te b b e , whence or 1 is nearly equal to e ...
Page 24
... nearly , which was required : Or having obtained the Root pretty near , you may treble the Figures of the Root already found by this Rule ; let Q be the Number whofe Root is fought , and r denote any of the above Remainders which we ...
... nearly , which was required : Or having obtained the Root pretty near , you may treble the Figures of the Root already found by this Rule ; let Q be the Number whofe Root is fought , and r denote any of the above Remainders which we ...
Other editions - View all
The Theory and Practice of Gauging, Demonstrated in a Short and Easy Method ... Robert Shirtcliffe No preview available - 2018 |
The Theory and Practice of Gauging, Demonstrated in a Short and Easy Method Robert Shirtcliffe No preview available - 2018 |
The Theory and Practice of Gauging, Demonstrated in a Short and Easy Method Robert Shirtcliffe No preview available - 2023 |
Common terms and phrases
Abfciffa againſt Ale Gall alfo alſo Angle Area Bafe Baſe becauſe betwixt Breadth Bung-Diameter Cafk called Caſk Chap Circle circular Segment Cone Conic Conic Sections Conoid Content Corol correfponding Curve Decimal denote Diam Diſtance divided Divifion Divifor dry Inches Ellipfe equal Example expreffed faid fame fecond fhall fhew fhewn Figure fimilar fince firft firſt fome Fruftum ftand fuch fufficient fuppofe fure Gauging given gives Height hence Hoof Hyperbola Hyperbolic Segment laft laſt Lemma Length Logarithms mean Diameter Meaſure Method multiplied muſt Number oppofite Ordinate orems parabolic parallel perpendicular Plane Points Product Prop Propofition Quotient Radius Reaſon refpectively Root Rule Scholium Section Segment ſhall Side Sliding-Rule Solid Spheroid Spindle Square taken Terms thefe Theorem thereof theſe thofe thoſe thro tranfverfe Axis Triangle Ullage uſe verfed Sine Vertex wet Inches whence whofe Wine Gallons
Popular passages
Page 59 - The circumference of every circle is supposed to be divided into 360 equal parts called degrees, and each degree into 60 equal parts called minutes, and each minute into 60 equal parts called seconds, and these into thirds, fourths, &c.
Page 7 - In multiplication of decimals, we know that the number of decimal places in the product is equal to the sum of those in both the factors.
Page 97 - J of the square of their difference, then multiply by the hight, and divide as in the last rule. Having the diameter of a circle given, to find the area. RULE. — Multiply half the diameter by half the circumference, and the product is the area ; or, which is the same thing, multiply the square of the diameter by .7854, and the product is the area.
Page 282 - Sort is, to multiply the two Weights together, and extract the Square Root of. the Product, which Root will be the true Weight.
Page 283 - Backs time ufed, and become more and more uneven as they grow older, efpecially fuch as are not every where well and equally fupported ; many of them...
Page 187 - Sum of thofe next to them, C the Sum of the two next following the laft, and fo on ; then we (hall have the following fables of Areas, for the feveral Numbers of Ordinates prefixt againft them, viz.
Page 86 - Progreflion from o, is equal to the Product of the laft Term by the Number of Terms, and this divided by the Index (m) plus Unity.
Page 272 - To half the Sum of the Squares of the Top and Bottom Diams.
Page 95 - The latter being taken from the former, leaves 3.14.15.9265.5 for the Length of half the Circumference of a Circle whofe Radius is Unity : Therefore the Diameter of any Circle is to its Circutuftrence as I is to 3.1415.9265.5 nearly.
Page 86 - Numbr infinitely greAt, therefore the firft Term of the above Value of /, muft be infinitely greater than any of the...