A Treatise on Trigonometry, Plane and Spherical: With Its Application to Navigation and Surveying, Nautical and Practical Astronomy and Geodesy : with Logarithmic, Trigonometrical, and Nautical Tables, for the Use of Schools and Colleges |
From inside the book
Results 1-5 of 63
Page 7
... perpendicular there drawn to this side till it meets the other side of the angle . The ratio of this perpendicular to the distance from its foot to the vertex , serves to indicate the size of the angle . For example , if the line BCDE ...
... perpendicular there drawn to this side till it meets the other side of the angle . The ratio of this perpendicular to the distance from its foot to the vertex , serves to indicate the size of the angle . For example , if the line BCDE ...
Page 10
... taking 50 divisions , and considering each divi- sion as equal to ten . A vertical plane is one perpendicular to the surface of the earth . To show the use of the instrument thus prepared take 10 PLANE TRIGONOMETRY .
... taking 50 divisions , and considering each divi- sion as equal to ten . A vertical plane is one perpendicular to the surface of the earth . To show the use of the instrument thus prepared take 10 PLANE TRIGONOMETRY .
Page 11
... perpendicular of this triangle , measured by a scale of equal parts , will be the height of the tower . The height of the instrument must be added to the result found . N. B. The sides found will always be expressed in units of the same ...
... perpendicular of this triangle , measured by a scale of equal parts , will be the height of the tower . The height of the instrument must be added to the result found . N. B. The sides found will always be expressed in units of the same ...
Page 13
... perpendicular let fall from one extremity of the arc upon the diameter drawn through the other extremity . Thus the line MP is the sine of the arc AM . The same line MP is likewise the sine of the arc BM , because it is a perpendicular ...
... perpendicular let fall from one extremity of the arc upon the diameter drawn through the other extremity . Thus the line MP is the sine of the arc AM . The same line MP is likewise the sine of the arc BM , because it is a perpendicular ...
Page 15
... arc may terminate , the perpendicular from the other extremity of it , which is the definition of the sine , will be a per- pendicular to the horizontal diameter ; so that the sines TRIGONOMETRICAL LINES . 15 Definition of the sine,
... arc may terminate , the perpendicular from the other extremity of it , which is the definition of the sine , will be a per- pendicular to the horizontal diameter ; so that the sines TRIGONOMETRICAL LINES . 15 Definition of the sine,
Contents
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Common terms and phrases
A.M. Hour P.M. altitude azimuth centre circle colatitude collimation column comp cosĀ² cosc Cosecant Cotangent Diff Cotangent Secant course decimal declination departure determined diagram difference of latitude difference of longitude distance divided equal equation error EXAMPLE expressed feet formula Geom given number hence horizontal Hour A.M. Cosine Hour A.M. Hour hour angle hypothenuse instrument Logarithms of Numbers longitude meridian miles multiplied Napier's rules Natural Sines Nautical Almanac negative number of degrees observed obtained parallel parallel sailing perpendicular plane sailing plane triangle Prop proportion quadrant quotient radius right angled triangle right ascension sailed screw second member ship side opposite siderial sin a cos sin a sin sinĀ² sine and cosine solution sphere spherical triangle spherical trigonometry spirit level star subtracting supporting axis TABLE XXVII tangent telescope transit trigonometrical lines vertical zenith