## A Complete Treatise on Practical Mathematics: Including the Nature and Use of Mathematical Instruments ... |

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### Contents

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### Common terms and phrases

abſciſſa acres alſo altitude amplitude Amſ Anſ Arſ axis balls baſe becauſe breadth centre circle circumference Co-fine Co-ſec Co-tan conjugate correſponding cube cubic deſcribe direétion diſtance divide diviſion diviſor Engliſh equal EXAMPLE fides find AC find the area firſt fruſtum given greateſt hypothenuſe inſtrument Io.o Io.of Io.or laſt leſs leſſer logarithm malt buſhels meaſure Multiply muſt objećt obſerved oppoſite ordinate parabola perpendicular plane Plate PROBLEM produćt quotient radius Required the area Required the ſolidity rhombus right angles RULE ſame ſec Secant ſecond ſegment ſhall Sine ſpecific gravity ſphere ſpindle ſquare root ſquare yards ſtation ſtraight line ſubtract ſuch ſum ſuperficies Suppoſe ſurface TABLE of Logarithmic Tang tangent theodolite theſe thickneſs toº tranſverſe trapezium triangle uſed verſed whoſe baſe whoſe diameter whoſe length whoſe ſide wine gallons

### Popular passages

Page 27 - 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, etc.

Page 129 - Therefore all the angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides.

Page 3 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.

Page 254 - E, is equal to twice as many right angles as the figure has sides, less four right angles.

Page 1 - ... common to the two triangles AFE, BFE, there are two sides in the one equal to two sides in the other, each to each ; and the base EA is equal to the base EB ; (i.

Page 38 - BG; that is, the fum of the fides is to their difference, as the tangent of half the fum of the angles at the bafe to the tangent of half their difference.

Page 394 - Subtract the square number from the left hand period, and to the remainder bring down the next period for a dividend. III. Double the root already found for a divisor ; seek how many times the divisor is contained...

Page 38 - AB the greater side for a distance, let a circle be described, meeting AC, produced in E, F, and BC in D; join DA, EB, FB; and draw FG parallel to BC, meeting EB in G. The angle EAB (32.

Page 38 - ACB (32. 1.) is equal to the angles CAD and ADC, or ABC together ; therefore FAD is the difference of the angles at the...

Page 417 - TO divide a given ftraight line into two parts, fo that the rectangle contained by the whale, and one of the parts, fhall be equal to the fquare of the other part. Let AB be the given ftraight line; it is required to divide it into two parts, fo that the rectangle contained by the whole, and one of the parts, fhall be equal to the fquare of the other part. Upon AB...