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 38
... Scale is formed , is the Chord of 60 Degrees on the Line of Chords . THE O. XVI . If in two Triangles ABC , abc , all the Angles of one , be each refpectively equal to all the Angles of the other , that is A - a , B = b , C = c : Then ...
... Scale is formed , is the Chord of 60 Degrees on the Line of Chords . THE O. XVI . If in two Triangles ABC , abc , all the Angles of one , be each refpectively equal to all the Angles of the other , that is A - a , B = b , C = c : Then ...
Side 54
... 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 Quantity of the given Angle , from the fame ...
... 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 Quantity of the given Angle , from the fame ...
Side 55
... Scale , produce them to that or a greater Length , and between them fo ... equal to a given Quadri- lateral Figure ABCD . Fig . 6 . Draw the Diagonal ... equal , therefore if ABC be added to each , then ABCD = BEC . PRO B. XIX . To make a ...
... Scale , produce them to that or a greater Length , and between them fo ... equal to a given Quadri- lateral Figure ABCD . Fig . 6 . Draw the Diagonal ... equal , therefore if ABC be added to each , then ABCD = BEC . PRO B. XIX . To make a ...
Side 57
... equal Parts . By this Method the Sines , Tangents , & c . may be drawn to any Radius ; and if after they be transferred to Lines on a Rule , we shall have the Scales of Sines , Tan- gents , & c . ready for use . Concerning Scales of equal ...
... equal Parts . By this Method the Sines , Tangents , & c . may be drawn to any Radius ; and if after they be transferred to Lines on a Rule , we shall have the Scales of Sines , Tan- gents , & c . ready for use . Concerning Scales of equal ...
Side 79
... Scale of equal Parts , from A to C , from C , let fall the Perpendicular BC , ( by Prob . 7. Sect . 1. ) and that will conftitute the Triangle ABC . Measure the Lines BC , and AB , from the fame Scale of equal Parts , that AC was taken ...
... Scale of equal Parts , from A to C , from C , let fall the Perpendicular BC , ( by Prob . 7. Sect . 1. ) and that will conftitute the Triangle ABC . Measure the Lines BC , and AB , from the fame Scale of equal Parts , that AC was taken ...
Vanlige uttrykk og setninger
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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...