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 σελίδες |
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Σελίδα 22
... Base , perpen- dicularly : Thus if the Triangle ABC be propof- ed , and BC be made its Bafe , then if from the Vertex A the Perpendicular AD be drawn to BC , the Line AD will be the Height of the Triangle ABC , standing on BC as its ...
... Base , perpen- dicularly : Thus if the Triangle ABC be propof- ed , and BC be made its Bafe , then if from the Vertex A the Perpendicular AD be drawn to BC , the Line AD will be the Height of the Triangle ABC , standing on BC as its ...
Σελίδα 35
... Base AB , and between the fame Parallel with the Parallelogram , ABCD , is half the Parallelogram . Cor . 3. It is hence alfo plain , that the oppo- fite Sides of a Parallelogram are equal ; for it has been proved that ABCD being a ...
... Base AB , and between the fame Parallel with the Parallelogram , ABCD , is half the Parallelogram . Cor . 3. It is hence alfo plain , that the oppo- fite Sides of a Parallelogram are equal ; for it has been proved that ABCD being a ...
Σελίδα 39
... Bases AB , and BD . Let any aliquot Part of AB be taken , which will also measure BD : Suppose that to be Ag which ... Base , is to the Sum of thofe in the other , fo will be the Sum of fmall Triangles in the first , to the Sum of the ...
... Bases AB , and BD . Let any aliquot Part of AB be taken , which will also measure BD : Suppose that to be Ag which ... Base , is to the Sum of thofe in the other , fo will be the Sum of fmall Triangles in the first , to the Sum of the ...
Σελίδα 40
... Bases . Q. E. D. Note . Wherever there are feveral Quantities connected with the Sign :: The Conclufion is al- ways drawn from the first two , and last two Pro- portionals . THEO . XIX . Triangles ABC , DEF , ftanding upon equal Bases ...
... Bases . Q. E. D. Note . Wherever there are feveral Quantities connected with the Sign :: The Conclufion is al- ways drawn from the first two , and last two Pro- portionals . THEO . XIX . Triangles ABC , DEF , ftanding upon equal Bases ...
Σελίδα 48
... Base AE = the Base BE . Cor . Hence it is manifeft that CD not only bi- fects AB , but is perpendicular to it . ( by Def . 11. ) PRO B. V. On a given Point A , in a right Line EF , to erect a Perpendicular . Fig . 11 . From the Point A ...
... Base AE = the Base BE . Cor . Hence it is manifeft that CD not only bi- fects AB , but is perpendicular to it . ( by Def . 11. ) PRO B. V. On a given Point A , in a right Line EF , to erect a Perpendicular . Fig . 11 . From the Point A ...
Συχνά εμφανιζόμενοι όροι και φράσεις
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Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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.
Σελίδα 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...
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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...