A Treatise of Practical Surveying: Which is Demonstrated from Its First Principles ...Lewis Nichols, 1806 - 452 sider |
Inni boken
Resultat 1-5 av 41
Side 30
... triangles , in all which any side may be called the base , and the other two the sides . 42. The perpendicular height of a triangle is a line drawn from the vertex to the base perpendicu- larly thus if the triangle ABC , be proposed ...
... triangles , in all which any side may be called the base , and the other two the sides . 42. The perpendicular height of a triangle is a line drawn from the vertex to the base perpendicu- larly thus if the triangle ABC , be proposed ...
Side 36
... triangle ABC , one of its legs , as BC , being produced towards D , it will make the exter- nal angle ACD equal to the two internal opposite angles taken together . Viz . to B and A , fig . 23 . Plate I. Thro ' C , let CE be drawn 36 ...
... triangle ABC , one of its legs , as BC , being produced towards D , it will make the exter- nal angle ACD equal to the two internal opposite angles taken together . Viz . to B and A , fig . 23 . Plate I. Thro ' C , let CE be drawn 36 ...
Side 37
... triangle ABC , all the three angles taken together are equal to two right angles , viz . A + B + ACB 2 right angles . Fig . 23 . Produce CB to any distance , as D , then ( by the last ) ACD = B + A ; to both add ACB , then ACD + ACB = A ...
... triangle ABC , all the three angles taken together are equal to two right angles , viz . A + B + ACB 2 right angles . Fig . 23 . Produce CB to any distance , as D , then ( by the last ) ACD = B + A ; to both add ACB , then ACD + ACB = A ...
Side 38
... triangle ABC be supposed to be laid on the triangle DEF , so as to make the points A and B coincide with D and E , which they will do , be- cause AB = DE ; ( by the hypothesis ) and since the angle A = D , the line AC will fall along DF ...
... triangle ABC be supposed to be laid on the triangle DEF , so as to make the points A and B coincide with D and E , which they will do , be- cause AB = DE ; ( by the hypothesis ) and since the angle A = D , the line AC will fall along DF ...
Side 40
... ABC , must be greater than half a semicircle , that is greater than a right angle . Fig . 27 . Cor . 5. An angle in ... triangles ADC , BDC are right an- gled ones , since the line CD is a perpendicular ; and so the angle ACD = DCB ; ( by cor ...
... ABC , must be greater than half a semicircle , that is greater than a right angle . Fig . 27 . Cor . 5. An angle in ... triangles ADC , BDC are right an- gled ones , since the line CD is a perpendicular ; and so the angle ACD = DCB ; ( by cor ...
Andre utgaver - Vis alle
Vanlige uttrykk og setninger
40 perches ABCD acres altitude Answer base bearing blank line centre chains and links chord circle circumferentor Co-sec Co-sine Co-tang Tang column contained cyphers decimal decimal fraction diameter difference distance line divided divisor draw drawn east edge EXAMPLE feet field-book figures fore four-pole chains half the sum height hypothenuse inches instrument Lat Dep Lat latitude line of numbers logarithm measure meridian distance multiplied needle number of degrees off-sets parallel parallelogram perpendicular piece of ground plane Plate prob PROBLEM proportion protractor quotient radius right angles right line scale of equal SCHOLIUM Secant second station sect semicircle side sights sine square root stationary distance sun's suppose survey taken tance tangent thence theo theodolite THEOREM trapezium triangle ABC trigonometry true amplitude two-pole chains vane variation whence
Populære avsnitt
Side 25 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, &c.
Side 207 - ... that triangles on the same base and between the same parallels are equal...
Side 40 - The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Side 43 - Triangles upon equal bases, and between the same parallels, are equal to one another.
Side 103 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Side 31 - Figures which consist of more than four sides are called polygons ; if the sides are all equal to each other, they are called regular polygons. They sometimes are named from the number of. their sides, as a five-sided figure is called a pentagon, one of six sides a hexagon, &"c.
Side 31 - ... they are called regular polygons. They sometimes are named from the number of their sides, as a five-sided figure is called a pentagon, one of. six sides a hexagon, &c. but if their sides are not equal to each other, then they are called irregular polygons, as an irregular pentagon, hexagon, &c.
Side 45 - The hypothenuse of a right-angled triangle may be found by having the other two sides ; thus, the square root of the sum of the squares of the base and perpendicular, will be the hypothenuse. Cor. 2. Having the hypothenuse and one side given to find the other; the square root of the difference of the squares of the hypothenuse and given side will be the required side.
Side 265 - As the length of the whole line, Is to 57.3 Degrees,* So is the said distance, To the difference of Variation required. EXAMPLE. Suppose it be required to run a line which some years ago bore N. 45°.
Side 32 - Things that are equal to one and the same thing are equal to one another." " If equals be added to equals, the wholes are equal." " If equals be taken from equals, the remainders are equal.