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 12
... tangents . The tangent of 45 ° is equal to the radius of the circle . 5. To make the line of Secants . Produce CB to F ; fet one foot of the compaffes in the center C , and with the other describe arcs through every divifion in the tangent ...
... tangents . The tangent of 45 ° is equal to the radius of the circle . 5. To make the line of Secants . Produce CB to F ; fet one foot of the compaffes in the center C , and with the other describe arcs through every divifion in the tangent ...
Σελίδα 19
... tangent of an arc or angle , is a right line touching one end of the arc , and produced until it meets with the right line drawn from the center through the other end of the arc ; thus , BG is the tan- gent of the arc BD , and HI of HD ...
... tangent of an arc or angle , is a right line touching one end of the arc , and produced until it meets with the right line drawn from the center through the other end of the arc ; thus , BG is the tan- gent of the arc BD , and HI of HD ...
Σελίδα 20
... tangent and fecant of 90 ° are infinite ; because the tangent BG is parallel to the radius CH . 19. When the fine , tangent , or fecant of an obtufe angle is wanted , that of its fupplement must be taken ; thus the fine , tangent , and ...
... tangent and fecant of 90 ° are infinite ; because the tangent BG is parallel to the radius CH . 19. When the fine , tangent , or fecant of an obtufe angle is wanted , that of its fupplement must be taken ; thus the fine , tangent , and ...
Σελίδα 32
... tangent of the an- gle FCD , the half fum , and DA is the tangent of ACD , the half difference of the angles BAC and ACB ; the triangles AFE , DFC are fimilar ; there fore , As FC : CE :: FD : DA ; that is , As FC , the fum of AB and BC ...
... tangent of the an- gle FCD , the half fum , and DA is the tangent of ACD , the half difference of the angles BAC and ACB ; the triangles AFE , DFC are fimilar ; there fore , As FC : CE :: FD : DA ; that is , As FC , the fum of AB and BC ...
Σελίδα 53
... Tangents. For the Use of Schools and Men of Business Alexander Ewing. ing the angle . Measure CD , and reduce it to 1000th parts of ED ; it is the natural tangent of the angle CED ; and hence the angle will be known from the tables as ...
... Tangents. For the Use of Schools and Men of Business Alexander Ewing. ing the angle . Measure CD , and reduce it to 1000th parts of ED ; it is the natural tangent of the angle CED ; and hence the angle will be known from the tables as ...
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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.