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 1
... latter processes require , may be saved . Now it has been shown , ( Algebra , 233 , 237 , ) that powers may be multiplied , by adding their exponents , and divided , by subtracting their exponents . In the same manner , roots may be ...
... latter processes require , may be saved . Now it has been shown , ( Algebra , 233 , 237 , ) that powers may be multiplied , by adding their exponents , and divided , by subtracting their exponents . In the same manner , roots may be ...
Página 4
... latter is generally most convenient in practice , and is more commonly written 3.90309 . The line over the index * That these two expressions are of the same value will be evident , if we sub- tract the same quantity , +.90309 from each ...
... latter is generally most convenient in practice , and is more commonly written 3.90309 . The line over the index * That these two expressions are of the same value will be evident , if we sub- tract the same quantity , +.90309 from each ...
Página 26
... latter , it will make neither +2.9 nor -2.9 , but -2 + .9 . This embarrassing in- termixture of positives and negatives may be avoided , by adding to the index another negative number , to make it ex- actly divisible by the divisor ...
... latter , it will make neither +2.9 nor -2.9 , but -2 + .9 . This embarrassing in- termixture of positives and negatives may be avoided , by adding to the index another negative number , to make it ex- actly divisible by the divisor ...
Página 44
... latter ; then , M : M ' ::: l ' , Or , as M ' = 1 , M : 1 :: / : l ' . Therefore , l - l'x M ; that is , the common logarithm of a number , is equal to Napier's logarithm of the same , multiplied into the modulus of the common system ...
... latter ; then , M : M ' ::: l ' , Or , as M ' = 1 , M : 1 :: / : l ' . Therefore , l - l'x M ; that is , the common logarithm of a number , is equal to Napier's logarithm of the same , multiplied into the modulus of the common system ...
Página 49
... latter , of triangles bounded by arcs of circles . Divisions of the Circle . 73. In a triangle there are two classes of quantities which are the subjects of inquiry , the sides and the angles . For the purpose of measuring the latter ...
... latter , of triangles bounded by arcs of circles . Divisions of the Circle . 73. In a triangle there are two classes of quantities which are the subjects of inquiry , the sides and the angles . For the purpose of measuring the latter ...
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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...