An elementary course of practical mathematics, Parte31851 |
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Página 294
... angular elevation of any object above the sea - line being taken , with that correction , as its elevation above the horizon . When the sea imme- diately below the object is bounded by land , its outline is still taken as the horizon ...
... angular elevation of any object above the sea - line being taken , with that correction , as its elevation above the horizon . When the sea imme- diately below the object is bounded by land , its outline is still taken as the horizon ...
Página 295
... angular inclination of a regular ascent , or gradient as it is called , of 1 in 85 ; that is , of 1 foot of vertical rise for 85 of horizontal distance ? Ans . 40 ′ nearly . 3. If the inclination of a gradient is 1 degree , how many ...
... angular inclination of a regular ascent , or gradient as it is called , of 1 in 85 ; that is , of 1 foot of vertical rise for 85 of horizontal distance ? Ans . 40 ′ nearly . 3. If the inclination of a gradient is 1 degree , how many ...
Página 297
... angular elevation ) , at a particular instant , and having no better instrument at hand , I placed a pole upright , 18 feet high , and found that the shadow of its top fell on a point 23 feet 4 inches from the pole ( horizontal measure ...
... angular elevation ) , at a particular instant , and having no better instrument at hand , I placed a pole upright , 18 feet high , and found that the shadow of its top fell on a point 23 feet 4 inches from the pole ( horizontal measure ...
Página 299
... angular elevation of the top of the wall , 10 ° 41 ' , and the depression of its base , 13 ° 25 ' . What is the height of the wall ? Ans . 98.50 feet . - 26. In a trigonometrical survey a base line AB is mea- sured of 10 chains , and ...
... angular elevation of the top of the wall , 10 ° 41 ' , and the depression of its base , 13 ° 25 ' . What is the height of the wall ? Ans . 98.50 feet . - 26. In a trigonometrical survey a base line AB is mea- sured of 10 chains , and ...
Página 303
... angular elevation , which was 65 ° . He still kept the telescope upon it till its shadow touched represent PR ) , with the horizontal lines drawn on the surface of the board , and with threads for the oblique lines ; or simply a piece ...
... angular elevation , which was 65 ° . He still kept the telescope upon it till its shadow touched represent PR ) , with the horizontal lines drawn on the surface of the board , and with threads for the oblique lines ; or simply a piece ...
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.