A Course of Mathematics: Containing the Principles of Plane Trigonometry, Mensuration, Navigation, and SurveyingDurrie and Peck, 1851 |
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Página 11
... half of 87 , one third of 130 , one fourth of 173 , & c . Upon this principle , we may find the logarithm of a num- ber which is between two other numbers whose logarithms In Taylor's , Hutton's , and other tables , four figures are ...
... half of 87 , one third of 130 , one fourth of 173 , & c . Upon this principle , we may find the logarithm of a num- ber which is between two other numbers whose logarithms In Taylor's , Hutton's , and other tables , four figures are ...
Página 33
... half yearly or quarterly ; find the amount of one dollar , for the half year or quarter , and multiply the logarithm , by the number of half years or quar- ters in the given time . If P the principal , α = the amount of 1 dollar for 1 ...
... half yearly or quarterly ; find the amount of one dollar , for the half year or quarter , and multiply the logarithm , by the number of half years or quar- ters in the given time . If P the principal , α = the amount of 1 dollar for 1 ...
Página 35
... half year ? Ans . 2167.3 dollars . 12. In what time will a sum of money double , at 6 per cent . compound interest ? Ans . 11.9 years . 13. What is the amount of 5000 dollars , at 6 per cent . compound interest , for 28 years ? Ans ...
... half year ? Ans . 2167.3 dollars . 12. In what time will a sum of money double , at 6 per cent . compound interest ? Ans . 11.9 years . 13. What is the amount of 5000 dollars , at 6 per cent . compound interest , for 28 years ? Ans ...
Página 38
... half millions ? If the period in which the population will double be given ; the numbers for several successive periods , will evidently be in a geometrical progression , of which the ratio is 2 ; and as the number of periods will be ...
... half millions ? If the period in which the population will double be given ; the numbers for several successive periods , will evidently be in a geometrical progression , of which the ratio is 2 ; and as the number of periods will be ...
Página 52
... half the chord of double the arc . The sine BG is half PG , which is the chord of the arc PAG , double the arc AG . 83. The VERSED SINE of an arc is that part of the diam- eter which is between the sine and the arc . Thus , BA is the ...
... half the chord of double the arc . The sine BG is half PG , which is the chord of the arc PAG , double the arc AG . 83. The VERSED SINE of an arc is that part of the diam- eter which is between the sine and the arc . Thus , BA is the ...
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Términos y frases comunes
ABCD arithmetical complement axis base calculation circle circular segment circumference column cone cosecant cosine cotangent course cylinder decimal diameter Diff difference of latitude difference of longitude divided earth equator feet figure find the area find the SOLIDITY frustum given side greater horizon hypothenuse inches JEREMIAH DAY length less line of chords logarithm measured Mercator's Merid meridional difference miles minutes multiplied negative number of degrees number of sides object oblique parallel of latitude parallelogram parallelopiped perimeter perpendicular plane sailing prism PROBLEM proportion pyramid quadrant quantity quotient radius ratio regular polygon right angled triangle right ascension right cylinder rods root scale secant segment sine sines and cosines slant-height sphere spherical spirit level square subtract surface tables tangent term theorem trapezium triangle ABC Trig trigonometry whole
Pasajes populares
Página 81 - C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Página 43 - A cone is a solid figure described by the revolution of a right angled triangle about one of the sides containing the right angle, which side remains fixed.
Página 118 - The sum of any two sides of a triangle is to their difference, as the tangent of half the sum of the angles opposite to those sides, to the tangent of half their difference.
Página 61 - When a quantity is greater than any other of the same class, it is called a maximum. A multitude of straight lines, of different lengths, may be drawn within a circle. But among them all, the diameter is a maximum. Of all sines of angles, which can be drawn in a circle, the sine of 90° is a maximum. When a quantity is less than any other of the same class, it is called a minimum. Thus, of all straight lines drawn from a given point to a given straight line, that which is perpendicular to the given...
Página 69 - This will reduce the whole to the triangle MGD, which is equal to the original figure. The area of the triangle may then be found by multiplying its base into half its height ; and this will be the contents of the field. In practice, it will not be necessary actually to draw the parallel lines BD, GC, &c. It will be sufficient to lay the edge of a rule on C, so as to be parallel to a line supposed to pass through B and D, and to mark the point of intersection G. 126. If after a field has been surveyed,...
Página 21 - THE AREA OF THE TRIANGLE FORMED BY THE CHORD OF THE SEGMENT AND THE RADII OF THE SECTOR. THEN, IF THE SEGMENT BE LESS THAN A SEMI-CIRCLE, SUBTRACT THE AREA OF THE TRIANGLE FROM THE AREA OF THE SECTOR.
Página 48 - PROBLEM VI. To find the SOLIDITY of a FRUSTUM of a cone. 68. ADD TOGETHER THE AREAS OF THE TWO ENDS, AND THE SQUARE ROOT OF THE PRODUCT OF THESE AREAS; AND MULTIPLY THE SUM BY 1 OF THE PERPENDICULAR HEIGHT.
Página 98 - For, by art. 14, the decimal part of the logarithm of any number is the same, as that of the number multiplied into 10, 100, &c.
Página 14 - A circle is a plane figure contained by one line, which is called the circumference, and is such, that all straight lines drawn from a certain point within the figure to the circumference are equal to one another : 16. And this point is called the centre of the circle.
Página 56 - From the same demonstration it likewise follows that the arc which a body, uniformly revolving in a circle by means of a given centripetal force, describes in any time is a mean proportional between the diameter of the circle and the space which the same body falling by the same given force would descend through in the same given time.