An elementary course of practical mathematics, Parte31851 |
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Página 271
... acute angle adjacent to the given side , so is the given side to the hypothenuse . B FORMULA . h Radius sec P :: b : h . P Radius : sec B :: p : h . b H NOTE . Instead of the secant of either of the acute angles , we may , if we please ...
... acute angle adjacent to the given side , so is the given side to the hypothenuse . B FORMULA . h Radius sec P :: b : h . P Radius : sec B :: p : h . b H NOTE . Instead of the secant of either of the acute angles , we may , if we please ...
Página 272
... angle 14 ° 37 · 12 ′ : what is the hypothenuse ? Ans . 0.301+ . PROBLEM IV . In a right - angled Triangle , having given the Angles and one Leg , to find the other Leg . RULE . As the radius is to the tangent of the acute angle adjacent ...
... angle 14 ° 37 · 12 ′ : what is the hypothenuse ? Ans . 0.301+ . PROBLEM IV . In a right - angled Triangle , having given the Angles and one Leg , to find the other Leg . RULE . As the radius is to the tangent of the acute angle adjacent ...
Página 273
James Elliot. 3. The acute angles of a right - angled triangle are 35 and 55 degrees . The leg opposite the latter is 9 feet 5 inches : the other leg is required . Ans . 6 ft . 7 in . 4. Base , 94.738 ; adjacent angle , 48 ° 23 ′ 10 ...
James Elliot. 3. The acute angles of a right - angled triangle are 35 and 55 degrees . The leg opposite the latter is 9 feet 5 inches : the other leg is required . Ans . 6 ft . 7 in . 4. Base , 94.738 ; adjacent angle , 48 ° 23 ′ 10 ...
Página 274
... acute angle at the base . Ans . 58 ° 19 ′ + . 2. What is the angle at the vertex , the hypothenuse being 89 yds . 2 ft . , and the base 51 yds . 1 ft . ? Ans . 34 ° 55 ' + . 3. The base is 1900 , and the hypothenuse 4913 : what is the acute ...
... acute angle at the base . Ans . 58 ° 19 ′ + . 2. What is the angle at the vertex , the hypothenuse being 89 yds . 2 ft . , and the base 51 yds . 1 ft . ? Ans . 34 ° 55 ' + . 3. The base is 1900 , and the hypothenuse 4913 : what is the acute ...
Página 275
... angles ? Ans . Each 45 ° . 3. The perpendicular is 4,984 , and the base , 3,272 : what is the vertical angle ? Ans . 33 ° 17 ' + . 4. The perpendicular is 9 ft . 5 in . , and the base 6 ft . 7 in . what is the acute angle at the base ...
... angles ? Ans . Each 45 ° . 3. The perpendicular is 4,984 , and the base , 3,272 : what is the vertical angle ? Ans . 33 ° 17 ' + . 4. The perpendicular is 9 ft . 5 in . , and the base 6 ft . 7 in . what is the acute angle at the base ...
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.