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 |
Dentro del libro
Resultados 1-5 de 12
Página 12
... remaining figures ; and to make the greater number the same as the less , with the addition of a unit to the last significant figure . Thus , For 36843 , take 36840 , and 36850 , For 792674 For 6537825 , 792600 , 792700 , 6537000 ...
... remaining figures ; and to make the greater number the same as the less , with the addition of a unit to the last significant figure . Thus , For 36843 , take 36840 , and 36850 , For 792674 For 6537825 , 792600 , 792700 , 6537000 ...
Página 55
... remaining two is 120. But these two are equal , because they are subtended by the equal sides , CA and CS , both radii of the circle . Each , therefore , is equal to half 120 ° , that is , to 60 ° . All the & c . Sin2 is here put for ...
... remaining two is 120. But these two are equal , because they are subtended by the equal sides , CA and CS , both radii of the circle . Each , therefore , is equal to half 120 ° , that is , to 60 ° . All the & c . Sin2 is here put for ...
Página 70
... remaining similar sides will be lines of the same name ; that is , if the perpendicular in one of the triangles be a sine , the perpendicular in the other will be a sine ; if the base in one be a cosine , the base in the other will be a ...
... remaining similar sides will be lines of the same name ; that is , if the perpendicular in one of the triangles be a sine , the perpendicular in the other will be a sine ; if the base in one be a cosine , the base in the other will be a ...
Página 81
... remaining angles DEB , and CEG , are equal ; ( Art . 79. ) So that CE is perpendicular to BG . ( Euc . Def . 10. 1. ) If then CE is made radius , GE is the tangent of GCE , ( Art . 84. ) that is , the tangent of half the sum of the ...
... remaining angles DEB , and CEG , are equal ; ( Art . 79. ) So that CE is perpendicular to BG . ( Euc . Def . 10. 1. ) If then CE is made radius , GE is the tangent of GCE , ( Art . 84. ) that is , the tangent of half the sum of the ...
Página 84
... remaining angle , and The other two sides . The third angle is found by merely subtracting the sum of the two which are given from 180 ° . ( Art . 79. ) The sides are found , by stating , according to theorem I , the following ...
... remaining angle , and The other two sides . The third angle is found by merely subtracting the sum of the two which are given from 180 ° . ( Art . 79. ) The sides are found , by stating , according to theorem I , the following ...
Otras ediciones - Ver todas
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...