A Synopsis of Practical Mathematics: Containing Plain Trigonometry; Mensuration of Heights, Distances, Surfaces, and Solids; Surveying of Land, Gauging, Navigation, and Gunnery. With Tables of the Logarithms of Numbers, and of Sines and Tangents. For the Use of Schools and Men of BusinessT. Cadell, London, and C. Elliot, Edinburgh, 1779 - 266 σελίδες |
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Σελίδα 31
... half difference of any two quantities added to their half fum , produceth the greater quantity ; and their half ... sum of the angles oppofite to those fides To the tangent of half their difference Take Take BE and BF , each equal to AB ...
... half difference of any two quantities added to their half fum , produceth the greater quantity ; and their half ... sum of the angles oppofite to those fides To the tangent of half their difference Take Take BE and BF , each equal to AB ...
Σελίδα 33
... half sum . ` To the half fum 65 ° 40 ′ add the half dif . 18 22 Greater ang . A = 84 02 To tan . A - C = 18 ° 22 ′ From the halffum 65 ° 40 ′ Subt . the halfdiff . 18 22 2 The leffer ang.C = 47 ° 18 ′ Having found the angles , the fide ...
... half sum . ` To the half fum 65 ° 40 ′ add the half dif . 18 22 Greater ang . A = 84 02 To tan . A - C = 18 ° 22 ′ From the halffum 65 ° 40 ′ Subt . the halfdiff . 18 22 2 The leffer ang.C = 47 ° 18 ′ Having found the angles , the fide ...
Σελίδα 39
... half the fum of the fides , and the excefs of that half fum above the fide oppofite to the angle fought , is to the rectangle contained by the differences between the half sum of the fides , and the two fides containing the angle fought ...
... half the fum of the fides , and the excefs of that half fum above the fide oppofite to the angle fought , is to the rectangle contained by the differences between the half sum of the fides , and the two fides containing the angle fought ...
Σελίδα 43
... sum of the fides BA and AC = 637 ; it is re- quired to find the angles ACB and ABC , with the fides BA and AC ? CONSTRUCTION . Make the angle at D of 55 ° 15 ′ equal to half BAC ; take 637 from the fcale , and fet it from D to B ; then ...
... sum of the fides BA and AC = 637 ; it is re- quired to find the angles ACB and ABC , with the fides BA and AC ? CONSTRUCTION . Make the angle at D of 55 ° 15 ′ equal to half BAC ; take 637 from the fcale , and fet it from D to B ; then ...
Σελίδα 121
... multiply AC by the half sum of hB and gD ; also multiply AD by half of Ef , and the fum of these products is the area .. In the fame manner , a field of four , or any number of fides , wherein the ground is not incumbered with great ...
... multiply AC by the half sum of hB and gD ; also multiply AD by half of Ef , and the fum of these products is the area .. In the fame manner , a field of four , or any number of fides , wherein the ground is not incumbered with great ...
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A Synopsis of Practical Mathematics: Containing Plain Trigonometry ... Alexander Ewing Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
acres alfo alſo altitude amplitude angle ABC angle BAC anſwer arithmetical mean azimuth bafe baſe becauſe breadth chain circle circumference cofine Comp courfe courſe cubic inches defcribe Degrees diameter diff difference of latitude diſtance divide ecliptic elevation Engliſh equal EXAM fame fecant feconds fegment feries fhip from latitude fide AC fimilar find the angles find the area find the folidity find the logarithm firft folid content fome fouth fquare feet fquare links fquare root fruftum ftation fubtract fuch fun's fuperficies given globe half fum height horizontal latitude and departure lefs length longitude meaſure meridian miles multiply muſt Octahedron oppofite parallelogram perpendicular plain triangle pole PROB quotient radius regular polygon required to find right angled triangle right line roods ſcale Scots Sine ſquare Suppofe Tangent Tangent30 thefe theſe triangle ABC veffel weft whofe whoſe yards zone
Δημοφιλή αποσπάσματα
Σελίδα 258 - And in division, subtract the logarithm of the divisor from the logarithm of the dividend, the remainder is the logarithm of the quotient.
Σελίδα 259 - Rule. Multiply the Logarithm of the given number by the Index of the proposed power, and the product will be the Logarithm, whose natural number is the power required.
Σελίδα 18 - The diameter of a circle is a right line drawn through the centre, and terminating in the circumference on each side, as AB.
Σελίδα 177 - Circles are great circles which pass through the zenith and nadir, and cut the horizon at right angles.
Σελίδα 176 - Zone, between the Tropic of Cancer and the Arctic Circle, is called the North Temperate Zone, and...
Σελίδα 259 - Complement of a Logarithm. Begin at the left hand, and write down what each figure wants of 9, only what the laft fignificant figure wants of ю j fo the Сотр.
Σελίδα 18 - The sine of an arc is a line drawn from one end of the arc, perpendicular to the radius or diameter drawn through the other end : or, it is half the chord of double the arc ; thus HL is the sine of the arc HB.
Σελίδα 131 - Becaufe every cone is the third part of a cylinder of the fame bafe and altitude, Multiply the area of its bafe by one third part of its height ; the product is the foiidity.
Σελίδα 204 - ... 9" with the meridian. And 3dly. That the differences of longitude on different rumbs, are to one another as the tangents of the angles of those rumbs with the meridian. Hence it follows, that the difference of the log. tangents of the half complements of the latitudes, is to the difference of longitude a ship makes...
Σελίδα 256 - If the logarithm is not found exa£Uy in the tables, and more than four figures are required, fubtraft the logarithm found in the table from the given one, and divide the remainder by the difference between the logarithm found and the next greater ; the quotient joined to the four figures already found, gives the number anfwering to the logarithm. EXAMPLES. To find the number anfwering to the logarithm 2.7342957.