A Complete Treatise on Practical Mathematics: Including the Nature and Use of Mathematical Instruments: Logarithmic Tables, Trigonometry, Mensuration of Heights and Distances,--of Surfaces & Solids, Land Surveying, Gunnery, Gauging, Artificer's Measuring, Miscellaneous Exercises. With an Appendix on Algebra ... Principally Designed for the Use of Schools and AcademiesBell and Bradfute, 1792 - 431 Seiten |
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Seite 12
... also CD into as many , and connect these points of divifion by diagonal lines , and the scale is finished . In taking measures from the diagonal fcale --- If the large di- vifions be reckoned units , the small divifions from A to B will ...
... also CD into as many , and connect these points of divifion by diagonal lines , and the scale is finished . In taking measures from the diagonal fcale --- If the large di- vifions be reckoned units , the small divifions from A to B will ...
Seite 14
... also . BC 359.2 . Plate 3. fig . 44 . PROBLEM XXXI . The two legs of a right - angled triangle beeng given , to find the acute angles , and the hypothenufe . fAB = 150 Req . angle A , angle C ,. BC = 160 and AC . Given { = From any ...
... also . BC 359.2 . Plate 3. fig . 44 . PROBLEM XXXI . The two legs of a right - angled triangle beeng given , to find the acute angles , and the hypothenufe . fAB = 150 Req . angle A , angle C ,. BC = 160 and AC . Given { = From any ...
Seite 17
... also , the subtraction of logarithms is the fame as the divifion of the corresponding numbers ; their dif- ference being the logarithm of the quotient . Here it may be observed , that common numbers are a series whofe differences are ...
... also , the subtraction of logarithms is the fame as the divifion of the corresponding numbers ; their dif- ference being the logarithm of the quotient . Here it may be observed , that common numbers are a series whofe differences are ...
Seite 35
... required , the length of a line is made the first and third terms , also a fide that is neither given nor required , cannot be admitted into the proportion , or made radius .. To find AB . To find AB . Variety 2. TRIGONOMETRY . 35.
... required , the length of a line is made the first and third terms , also a fide that is neither given nor required , cannot be admitted into the proportion , or made radius .. To find AB . To find AB . Variety 2. TRIGONOMETRY . 35.
Seite 38
... also that CF is their difference ; and fince EG and BC are parallel , EC : CF as EB : BG , that is , the fum of the fides is to their difference : as the tangent of half the fum of the angles at the base , is to the tan gent of half ...
... also that CF is their difference ; and fince EG and BC are parallel , EC : CF as EB : BG , that is , the fum of the fides is to their difference : as the tangent of half the fum of the angles at the base , is to the tan gent of half ...
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Häufige Begriffe und Wortgruppen
abfciffa acres againſt alfo alſo altitude amplitude axis bafe baſe becauſe breadth centre chain chord of half circle circumference Co-fec Co-tan column cone conjugate cube defcribe dift diſtance divide divifor elevation Engliſh equal Euclid EXAMPLE fame fecond fegment fhall fimilar find the area find the folidity firſt fquare root fquare yards fruftum ftraight line fubtract fuch fuperficies furface girt given greateſt half the arch height horizontal houſe hypothenufe inftrument laft acquired velocity laſt lefs logarithm malt bufhels meaſure obferved off-fets oppofite ordinate parabolic perpendicular plane Plate quantity quotient rectangle Required the area Required the content Required the folidity rhombus right angles RULE Secant Secant Co-fec ſpace ſphere ſpindle ſquare ſteeple Suppofe tangent theodolite theſe thickneſs tranfverfe trapezium triangle triangular uſed verfed whofe diameter whofe fide whofe length whoſe wine gallons
Beliebte Passagen
Seite 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.
Seite 115 - 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.
Seite 3 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Seite 232 - E, is equal to twice as many right angles as the figure has sides, less four right angles.
Seite 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.
Seite 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.
Seite 372 - 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...
Seite 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.
Seite 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...
Seite 395 - 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...