Sexagesimal or North American SystemIn the sexagesimal or North American system,the circle is divided into 360 equal parts knownas DEGREES of arc, each degree into 60 equalparts known as MINUTES of arc, and eachminute into 60 equal parts known as SECONDSof arc. As an example, angles in this systemare written as 263047’16’’.48 which is read as“two hundred sixty-three degrees, forty-sevenminutes, and sixteen point four eight seconds ofarc. ” In the United States, this is the mostcommonly used system of angular measurement.MORE UNITS OF MEASUREMENTAside from the units of measurementdiscussed above, the EA must also deal withother units of measurement, such as TIME,TEMPERATURE, PRESSURE, and so forth.He must use exact time in computing problemsin astronomy and some laboratory works. Hemust be able to apply temperature corrections tohis tape readings. He must also evaluate theeffect of atmospheric pressure at differentelevations and get involved in some othertypes of measure that will be discussed in thefollowing paragraphs.Centisimal or Metric SystemTime MeasurementIn the centisimal or metric system, the fullcircle is divided into four quadrants, and eachquadrant is divided into 100 equal parts knownas GRADS or GRADES. Each grad is furtherdivided into decimal parts. As an example, anglesin this system are written as 376g.7289, or376g72´89" which is read as “three hundredseventy-six point seven two eight nine grads,” oras “three hundred seventy-six grads, seventy-twocentisimal minutes, and eighty-nine centisimalseconds. ”Mil SystemIn the mil system, the circle is divided into6,400 equal parts known as MILS. The mil isdivided into decimal parts. As an example, anglesin this system are written as 1728.49 roils, whichis read as “one thousand seven hundred twenty-eight point four nine mils.” This system is usedprincipally by the artillery people. The significanceof this unit of angular measure is the fact that 1mil is the angle that will subtend 1 yd at a rangeof 1,000 yd.The relationship among values in the threesystems of angular measure are as follows:For practical purposes in everyday affairs andin surveying, the measurement of time intervalsis of great concern. The time used in everyday lifeis known as STANDARD TIME and is based onthe mean apparent revolution of the sun aroundthe earth because of the earth’s rotation on itsaxis. Standard time is used in surveying to regulatethe normal day’s operations. But, when it isnecessary to observe the sun or the stars todetermine the azimuth of a line or the positionof a point on the earth’s surface, the surveyor usesthree other kinds of time. They are APPARENT(true) SOLAR TIME, CIVIL (mean solar) TIME,and SIDEREAL (star) TIME. You will learn moreabout these different times when you study thechapter on “Geodesy and Field Astronomy” inEngineering Aid 1 & C.In all four kinds of time, the basic units ofmeasure are the YEAR, DAY, HOUR, MINUTE,and SECOND of time. The duration of any oneof these units is not the same for all kinds of time.For example, the sidereal day is approximately 4min shorter than a standard- or civil-time day.In the practice of surveying, it is customaryto say, or write, the time of day as the numberof hours, minutes, and seconds since midnight.Then the recorded time would appear, forexample, as 16h37*52S.71 which is read as“sixteen hours, thirty-seven minutes, and fifty-two point seven one seconds of time.”Units of time measure are sometimes used todesignate the sizes of angles. The longitude of apoint on the earth’s surface is often expressed inthis manner. The relationship between the units1-30
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