A Manual of the Protracting Trigonometer: With Its Application to Rectilinear Draughting and Plotting, Trigonometry, and SurveyingSheldon, 1862 - 77 σελίδες |
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Σελίδα iii
... ; in the latter , it greatly simplifies and abbreviates the operations ; rendering the solution of tedious mathematical problems an agreeable mechanical recreation . Hence to any one who has become familiar with the use.
... ; in the latter , it greatly simplifies and abbreviates the operations ; rendering the solution of tedious mathematical problems an agreeable mechanical recreation . Hence to any one who has become familiar with the use.
Σελίδα 13
... Hence no two of them are any where exactly parallel . So also strictly , a parallel of latitude is a circle passing through the earth at right angles to its axis . It is called a parallel , because it is parallel to the plane of the ...
... Hence no two of them are any where exactly parallel . So also strictly , a parallel of latitude is a circle passing through the earth at right angles to its axis . It is called a parallel , because it is parallel to the plane of the ...
Σελίδα 14
... Hence , the measure of a right angle is 90 degrees ; for DG , Fig . 3 , which meas- ures the right angle DCG , is a fourth part of the circumference , or 90 degrees . Degrees are usually indicated by a small circle , thus ...
... Hence , the measure of a right angle is 90 degrees ; for DG , Fig . 3 , which meas- ures the right angle DCG , is a fourth part of the circumference , or 90 degrees . Degrees are usually indicated by a small circle , thus ...
Σελίδα 15
... Hence , if the sum of any two angles of a triangle be sub- tracted from 180 ° , the remainder will be the third angle . And if one of the angles be subtracted from 180 ° , the remainder will be the sum of the other two angles . Hence ...
... Hence , if the sum of any two angles of a triangle be sub- tracted from 180 ° , the remainder will be the third angle . And if one of the angles be subtracted from 180 ° , the remainder will be the sum of the other two angles . Hence ...
Σελίδα 19
... Hence the units and tenths are read on the Scale - Plate , being indicated by the figures and subdivision lines which lie between the guides . The hundredths and thousandths are read directly on the verniers . It will be seen ...
... Hence the units and tenths are read on the Scale - Plate , being indicated by the figures and subdivision lines which lie between the guides . The hundredths and thousandths are read directly on the verniers . It will be seen ...
Άλλες εκδόσεις - Προβολή όλων
A Manual of the Protracting Trigonometer: With Its Application to ... Josiah Lyman Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2018 |
A Manual Of The Protracting Trigonometer: With Its Application To ... Josiah Lyman Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2023 |
A Manual Of The Protracting Trigonometer: With Its Application To ... Josiah Lyman Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2023 |
Συχνά εμφανιζόμενοι όροι και φράσεις
10th side accuracy acres adjacent angle adjusting lines angles and distances angular point assumed point base Brass Instruments carry the zero centimetres clamped coincide convenient corresponding courses and distances degrees divide twice divisor Double Longitude Draughting Board East or West edge EF² equal error find the angles following courses following example GABF German silver given angle given area given distance given side Given the following hypothenuse indefinite length India Ink instrument Latitude Meridian line running Longitude column method middle side North or South obtained operation opposite paper parallel of latitude parallelogram pencil perpendicular plate Plot the field PROBLEM Protractor Vernier required side right angles scale Scale-Plate sliding square chains subtract survey surveyor three adjacent sides tract of land Trapezium trapezoid unconnected ends unit grooves unit line Vernier Guide Yale College zero grooves
Δημοφιλή αποσπάσματα
Σελίδα 14 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds.
Σελίδα 55 - To find the area of a trapezoid. RULE. Multiply half the sum of the two parallel sides "by the perpendicular distance between them : the product will be the area.
Σελίδα 15 - After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles...
Σελίδα 68 - AC 16.25 ch., and the distance of a point P in the side AB, from the angle A 8.50 ch. ; it is required to find the distance AG of a point G in the line AC, so that a line drawn from P to G may cut off a triangle APG containing 3 acres. Ans. 9.25 ch. PROBLEM VIII. The area and base of a triangle being given, to cut off a triangle containing a given area by a line running parallel to one of the sides.
Σελίδα 13 - The diameter of a circle is a straight line passing through its center and terminated at both ends by the circumference.
Σελίδα 73 - B sin 6 2. Given the bearings of three adjacent sides of a tract of land, and the length of the middle side, to cut off, by a line running a given course, a trapezium of a given area.
Σελίδα 67 - Аь the rectangle of the given side and sine of the given angle, Is to twice the given area ; So is radius, To the other side adjacent to the given angle. Then having two sides and the included angle given, the other angles and side, if required, may be found by trig...
Σελίδα 15 - All the meridians passing through a survey of moderate extent, are considered as straight lines parallel to each other. The bearing or course of a line is the angle which it makes with a meridian passing through one end ; and it is reckoned from the north or south point of the horizon, toward the east or west. Thus, if NS represent a meridian, and the angle NAB is 40°, then the bearing of AB from the point A is 40° to the west of north, and is written N. 40° W., and read north forty degrees west....
Σελίδα 73 - To the square of the ordinate add f of the square of the abscissa, and twice the square root of the sum will be the length of the curve required.
Σελίδα 15 - В = 36° 43' ..... log. 9.776598 sum. • CASE II. 5. Wben two sides and the included angle are given, the solution may be effected by means of propositions 3 and 4. Thus, take the given angle from 180° ; the remainder will be the sum of the other two angles. Then, by proposition 3, — As the sum of the given sides is to their difference, So is the tangent of half the sum of the remaining angles to the tangent of half their difference. Half the sum of the remaining angles added to half their difference...