A Course of Mathematics: Containing the Principles of Plane Trigonometry, Mensuration, Navigation, and Surveying. Adapted to the Method of Instruction in the American CollegesDurrie & Peck, 1853 - 5 páginas |
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Página 11
... which BP is of the perimeter of the poly- gon . Then , in the right angled triangle BCP , if BP be radius , ( Trig . 122. ) R BP cot BCP CP . That is , : As Radius , To half of one of the sides MENSURATION OF PLANE SURFACES . 11.
... which BP is of the perimeter of the poly- gon . Then , in the right angled triangle BCP , if BP be radius , ( Trig . 122. ) R BP cot BCP CP . That is , : As Radius , To half of one of the sides MENSURATION OF PLANE SURFACES . 11.
Página 15
... perimeters of the polygons can be easily and exactly de- termined . That which is circumscribed is greater , and that which is inscribed is less , than the periphery of the circle ; and by increasing the number of sides , the difference ...
... perimeters of the polygons can be easily and exactly de- termined . That which is circumscribed is greater , and that which is inscribed is less , than the periphery of the circle ; and by increasing the number of sides , the difference ...
Página 31
... perimeter is 18 feet , what is the solidity ? Ans . 512.84 cubic feet . 46. The number of gallons or bushels which a vessel will contain may be found , by calculating the capacity in inches , and then dividing by the number of inches in ...
... perimeter is 18 feet , what is the solidity ? Ans . 512.84 cubic feet . 46. The number of gallons or bushels which a vessel will contain may be found , by calculating the capacity in inches , and then dividing by the number of inches in ...
Página 32
... PERIMETER OF THE BASE . Each of the sides of the prism is a right parallelogram , whose arca is the product of its length and breadth . But the breadth is one side of the base ; and therefore , the sum of the breadths is equal to the ...
... PERIMETER OF THE BASE . Each of the sides of the prism is a right parallelogram , whose arca is the product of its length and breadth . But the breadth is one side of the base ; and therefore , the sum of the breadths is equal to the ...
Página 33
... perimeter of the base is the sum of its sides , each of which is equal to AB . And the areas of all the equal triangles which constitute the lateral surface of the pyramid , are together equal to the product of the perimeter into half ...
... perimeter of the base is the sum of its sides , each of which is equal to AB . And the areas of all the equal triangles which constitute the lateral surface of the pyramid , are together equal to the product of the perimeter into half ...
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Términos y frases comunes
acute angles arithmetical complement axis base bung diameter calculation cask circle circular sector circular segment circumference cosecant cosine cotangent cube cubic decimal difference distance divided equal to radius equation feet figure find the area find the SOLIDITY frustum given angle given number given side greater hypothenuse inches inscribed JEREMIAH DAY lateral surface length less line of chords loga middle diameter natural number negative number of degrees number of sides oblique opposite angles parallelogram parallelopiped perimeter perpendicular perpendicular height plane prism PROBLEM proportion pyramid quadrant quantity quotient radius ratio regular polygon right angled triangle right cylinder rithms rods root scale secant sector segment sine sines and cosines slant-height sphere spherical square subtract tables tangent tangent of half term theorem trapezium triangle ABC trigonometry wine gallons zone
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 52 - The VERSED SINE of an arc is that part of the diameter which is between the sine and the arc. Thus, BA is the versed sine of the arc AG.
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 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 131 - 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. By Theorem II. we have a : b : : sin. A : sin. B.
Página 38 - To the sum of the areas of the two ends add four times the area of a section parallel to and equally distant from both ends, and this last sum multiplied by | of the height will give the solidity.
Página 14 - To find then the logarithm of a vulgar fraction, subtract the logarithm of the denominator from that of the numerator. The difference will be the logarithm of the fraciion.
Página 100 - ... term. (Art. 52.) But it is more convenient in practice to begin by subtracting the first term from one of the others. If four quantities are proportional, the quotient of the first divided by the second, is equal to the quotient of the third divided by the fourth.
Página 49 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds.
Página 41 - TO ONE OF THE SIDES. Or, MULTIPLY THE CUBE OF ONE OF THE EDGES, BY THE SOLIDITY OF A SIMILAR SOLID WHOSE EDGES ARE 1...