A Treatise of Practical Surveying: Which is Demonstrated from Its First Principles. Wherein Every Thing that is Useful and Curious in that Art, is Fully Considered and Explained ... The Whole Illustrated with CopperplatesP. Wogan, 1795 - 319 sider |
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Side 46
... fuppofe one Triangle be laid on the other , the Sides will mutually agree with each other , and therefore be equal , for if we confider these two Triangles are made of the fame given three Lines , they are manifeftly one and the fame ...
... fuppofe one Triangle be laid on the other , the Sides will mutually agree with each other , and therefore be equal , for if we confider these two Triangles are made of the fame given three Lines , they are manifeftly one and the fame ...
Side 54
... fuppofe of 45 Degrees . ( Fig . 4 ) From a Scale of Chords take 60 Degrees , for 60 is equal to the Radius , ( by Cor . Theo . 15. ) and with that Distance from A as a Center , defcribe a Circle from the Line AB ; take 45 Degrees , the ...
... fuppofe of 45 Degrees . ( Fig . 4 ) From a Scale of Chords take 60 Degrees , for 60 is equal to the Radius , ( by Cor . Theo . 15. ) and with that Distance from A as a Center , defcribe a Circle from the Line AB ; take 45 Degrees , the ...
Side 79
... fuppofe the Angle A 46o . 30 ' . and confequently the Angle C 43 ° . 30. ( by Cor . 2. Theo . 5 ) ; and AC 250 Parts , ( as Feet , Yards , Miles , & c . ) required the Legs AB , and BC . Geometrically . Make an Angle of 46 ° . 30 ' , in ...
... fuppofe the Angle A 46o . 30 ' . and confequently the Angle C 43 ° . 30. ( by Cor . 2. Theo . 5 ) ; and AC 250 Parts , ( as Feet , Yards , Miles , & c . ) required the Legs AB , and BC . Geometrically . Make an Angle of 46 ° . 30 ' , in ...
Side 145
... fuppofe CD to be , then by Way of proof that the Distance CD is true , let the Measure of the Angle CHD be taken by the Line 00 , with the Chain : If this Angle correfponds with its containing Sides , the Length of the Line DC is truly ...
... fuppofe CD to be , then by Way of proof that the Distance CD is true , let the Measure of the Angle CHD be taken by the Line 00 , with the Chain : If this Angle correfponds with its containing Sides , the Length of the Line DC is truly ...
Side 172
... fuppofe the Land surveyed is kept on the right Hand as you furvey . Draw a blank Line with a Ruler of a Length greater than the Diameter of the Protractor ; pitch upon any convenient Point therein , to which apply the Center - hole of ...
... fuppofe the Land surveyed is kept on the right Hand as you furvey . Draw a blank Line with a Ruler of a Length greater than the Diameter of the Protractor ; pitch upon any convenient Point therein , to which apply the Center - hole of ...
Vanlige uttrykk og setninger
40 Perches ABCD Acres alfo alſo Anſwer Area Bafe Baſe Bearing becauſe bifect blank Line Cafe Center Chains and Links Chord Circle Circumferentor Co-fine Column confequently Cyphers Decimal defcribe Departure Divifion draw drawn Eaft eaſily Eaſt faid fame fecond Field-Book Figures fince firft Meridian firft Station firſt fmall Squares Four-Pole Chains ftationary Line fuch given half the Sum Inch Index infert Inftrument Interfection laft laid Latitude lefs Logarithm Mearing Meaſure Meridian Diſtance multiplied muſt Needle North obferve Off-fets oppofite parallel Parallelogram Perches Perpendicular Piece of Ground Plate Point Prob Protraction Protractor Quotient Radius refpective right Angles right Line Scale of equal SCHOLIUM Secant Sect Semicircle ſhall Side Sine South Square Root Sun's Survey taken Tangent thefe Theo Theodolite theſe thofe thoſe thro Trapezium Triangle ABC Trigonometry Two-Pole Chains uſed Variation Weft whofe
Populære avsnitt
Side 13 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees; and each degree into 60 minutes, each minute into 60 seconds, and so on.
Side 88 - C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Side 56 - ... logarithm of that number. EXAMPLE. • Required, the logarithm of 365. Answer, 2.56229. And though most tables of logarithms run but to 10000, yet by them the log. of any number not exceeding 10,000,000 may be found, and on the contrary, the number to any such logarithm, thus : 1 Find the log. of the first four figures of the given number 2. Take that log. from the log: of the number next following, and note their difference, 3. Multiply that difference by the remaining figures of the given number...
Side 91 - In the triangle ABC, there is given AB 240, the angle A 46° 30', and BC 200, to find the angle C, being acute, the angle B, and the side AC.
Side 89 - ED. that is as the sum of the two sides AB and BC, is to their difference ; so is the tangent of half the sum of the two unknown angles A and C, to the tangent of half their difference.
Side 32 - KCML, the sum of the two parallelograms or square BCMH ; therefore the sum of the squares on AB and AC is equal to the square on BC.
Side 19 - Four quantities are said to be in proportion when the product of the extremes is equal to that of the means, thus if A multiplied by D, be equal to B multiplied by C, then A is said to be to B as C is to D. POSTULATES OR PETITIONS. 1 . That a right line may be drawn from any one given point to another. 2. That a right line may be produced or continued at pleasure. 3. That from any centre and with any radius, the circumference of a circle may be described.
Side 13 - A chord is a right line drawn from one end of an arc or arch (that is, any part of the circumference of a circle) to the other ; and is the measure of the arc. Thus the right line HG, is the measure of the arc HBG.
Side 72 - ... these three proportions, for DE we put its equal be, for AE put ab, and for AD put ac, they will become AB : ab : : AC : ас, and AB : ab : : BC : be, and AC : ac : : BC : be.
Side 285 - Then if the true and magnetic amplitudes, be both north or both south, their difference is the variation ; but if one be north and the other south, their sum is the variation ; and to know whether it be easterly or westerly, suppose the observer looking...