An elementary course of practical mathematics, Parte31851 |
Dentro del libro
Resultados 1-5 de 7
Página 297
... station higher than the base , but opposite the mid- dle of one side , and 20 yards distant from that side measured horizontally . From that station the elevation of the vane is observed by a common quadrant ( not Hadley's ) to be 56 ...
... station higher than the base , but opposite the mid- dle of one side , and 20 yards distant from that side measured horizontally . From that station the elevation of the vane is observed by a common quadrant ( not Hadley's ) to be 56 ...
Página 299
... station ( F ) on the plain , directly between the first station and the flag , is ascertained to be on the same level with the first and 213 feet distant from it . The elevation of the flag at the second station is observed to be 26 ...
... station ( F ) on the plain , directly between the first station and the flag , is ascertained to be on the same level with the first and 213 feet distant from it . The elevation of the flag at the second station is observed to be 26 ...
Página 300
... station is directly between the first station and the flag , it is not meant , of course , that they are all three in the same straight line , but that they are in the same vertical plane . This is de- termined practically by observing ...
... station is directly between the first station and the flag , it is not meant , of course , that they are all three in the same straight line , but that they are in the same vertical plane . This is de- termined practically by observing ...
Página 301
... station ) , or unless the ground , on which the base is measured , rises considerably as it recedes from the object ... stations . The base EF of 116 feet is not level ; but that is of no consequence , since the angles are to be taken ...
... station ) , or unless the ground , on which the base is measured , rises considerably as it recedes from the object ... stations . The base EF of 116 feet is not level ; but that is of no consequence , since the angles are to be taken ...
Página 303
... stations ( as described in Ex . 34 ) , are 89 ° 15 ′ and 86 ° 21 ' . The angle of eleva- tion of the highest point of the rock , taken at the first station , being 1 ° 48 ' . What is the distance of the top of the rock from the first ...
... stations ( as described in Ex . 34 ) , are 89 ° 15 ′ and 86 ° 21 ' . The angle of eleva- tion of the highest point of the rock , taken at the first station , being 1 ° 48 ' . What is the distance of the top of the rock from the first ...
Términos y frases comunes
angle opposite angles of elevation angular elevation arc BC arithmetical series artificial horizon chains CHAPTER VII ciphers circle column compasses compound interest Compute Cosec Cosine Cotang cube roots decimal point degrees and minutes diagram diameter Divide divisor EDINBURGH EXAMPLE EXERCISES IN CHAPTER extract the square feet figure an integer find the Angles Find the logarithms four figures fourth term geometrical progression given angle given leg given number given side horizontal angles hypothenuse inches instrument LOGARITHMIC SCALES Logarithmic Sine measured miles Multiply NOTE number of degrees object observed opposite the former opposite the latter Perp perpendicular PLANE TRIGONOMETRY Price PROBLEM II PROBLEM VII quadrant quotient radius remove the decimal right-angled triangle Secant sextant side opposite Sliding Rule spirit level square root station Subtract SUTHERLAND AND KNOX Table Tang tangent telescope theodolite third side three figures three sides Treatise versed-sine vertex vertical angle yards
Pasajes populares
Página 282 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Página 274 - RULE. — Subtract the square of the base from the square of the hypothenuse, and extract the square root of the remainder.
Página 377 - Key to above 60 3. Complete Practical Treatise on the Nature and Use of Logarithms, and on Plane Trigonometry, with Logarithmic and Trigonometrical Tables, . 5 0 4.
Página 245 - To find, then, by logarithms, the fourth term in a proportion, ADD THE LOGARITHMS OF THE SECOND AND THIRD TERMS, AND from the sum SUBTRACT THE LOGARITHM OF THE FIRST TERM.
Página 279 - From D as a center with a radius equal to a, draw an arc intersecting El in F and F'.
Página 292 - ... the angle of reflection is always equal to the angle of incidence, the image for any point can be seen only in the reflected ray prolonged.
Página 279 - Let abc (fig. 1 14) be a spherical triangle, whose sphere has its centre in o, and unity for radius. If now from c, on the plane aob, we let fall the perpendicular cd; from d on ae, bo, the perpendiculars de, df, and draw ce, cf; it would be easy to show that the triangles ceo, cfo are right angles...
Página 278 - To find a side, work the following proportion: — as the sine of the angle opposite the given side is to the sine of the angle opposite the required side, so is the given side to the required side.
Página 243 - BY LOGARITHMS. RULE. FROM the logarithm of the dividend subtract the logarithm of the divisor, and the number answering to the remainder will be the quotient required.
Página 284 - That is, as the base, is to the sum of the two sides; so is the difference of the sides, to the sum of the segments of the base.