An elementary course of practical mathematics, Parte31851 |
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Página 257
... perpendicular height is 6.99 , each side of the base being 4.18 . Ans . 17.63- . 23. The fixed axis of a prolate spheroid is 7 · 74 inches , and the revolving axis 5.88 inches . What is its solid content ? Ans . 140.1 + c . inches . 24 ...
... perpendicular height is 6.99 , each side of the base being 4.18 . Ans . 17.63- . 23. The fixed axis of a prolate spheroid is 7 · 74 inches , and the revolving axis 5.88 inches . What is its solid content ? Ans . 140.1 + c . inches . 24 ...
Página 263
... perpendicular to OC and both terminated by the lines * of the two radii . Then BD is called the Sine of the arc BC ; DC is its Versed Sine ; CF , its Tangent ; and OF its Secant . EXERCISE . Let the scholar draw a diagram like the first ...
... perpendicular to OC and both terminated by the lines * of the two radii . Then BD is called the Sine of the arc BC ; DC is its Versed Sine ; CF , its Tangent ; and OF its Secant . EXERCISE . Let the scholar draw a diagram like the first ...
Página 268
... perpendicular ; h , the hypothenuse ; and B , P , and H , the angles respectively opposite the sides b , p , and h . PROBLEM I. In a right - angled Triangle , having given one of the two acute Angles , to find the other . RULE ...
... perpendicular ; h , the hypothenuse ; and B , P , and H , the angles respectively opposite the sides b , p , and h . PROBLEM I. In a right - angled Triangle , having given one of the two acute Angles , to find the other . RULE ...
Página 270
... perpendicular . Ans . 8.91+ . 2. The base of a right - angled triangle is required , the hypothenuse measuring 89 yds . 2 ft . , at the vertex 35 ° . 3. The acute angle at the base is thenuse 4.913 : what is the base ? and the acute ...
... perpendicular . Ans . 8.91+ . 2. The base of a right - angled triangle is required , the hypothenuse measuring 89 yds . 2 ft . , at the vertex 35 ° . 3. The acute angle at the base is thenuse 4.913 : what is the base ? and the acute ...
Página 271
... perpendicular is 1900 , and the vertical angle 67 ° 15 ' ? Ans . 4913 + . 3. The base is 272.8 , and the acute angle at the vertex 60 ° : what is the hypothenuse ? Ans . 315 , very nearly . See Chapter II , Problem vi . † See Chapter vi ...
... perpendicular is 1900 , and the vertical angle 67 ° 15 ' ? Ans . 4913 + . 3. The base is 272.8 , and the acute angle at the vertex 60 ° : what is the hypothenuse ? Ans . 315 , very nearly . See Chapter II , Problem vi . † See Chapter vi ...
Términos y frases comunes
acute angle adjacent angle opposite angles of elevation angular Answers applications base called CHAPTER VII circle column common compasses complete Compute contain corresponding Cosec Cosine Cotang course cube decimal point diagram diameter difference direction distance Divide EDINBURGH employed equal EXAMPLE EXERCISES IN CHAPTER factors feet figures foot former four Geometry given given number given side greater half height horizontal hypothenuse inches integers interest latter length less logarithms look marked measured miles minutes Multiply natural number nearly necessary NOTE number of degrees object observed operations Perp perpendicular plane position PRACTICAL preceding Price PROBLEM quadrant questions radius remove right-angled triangle RULE scale Secant seen sextant side Sine stands station Table taken Tang tangent telescope third side Treatise Trigonometry turns unit 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.