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 91
... feet scale ; one side of which is called the Plane Scale , and the other side , Gunter's Scale . The most import- ant of these are the scales of equal parts , and the line of chords . In forming a given triangle , or any other right ...
... feet scale ; one side of which is called the Plane Scale , and the other side , Gunter's Scale . The most import- ant of these are the scales of equal parts , and the line of chords . In forming a given triangle , or any other right ...
Página 97
... feet ; the log . of 1000 by one of 3 feet ; the lengths of the several lines being proportional to the cor- responding logarithms in the tables . Portions of a foot will represent the logarithms of numbers between 1 and 10 ; and ...
... feet ; the log . of 1000 by one of 3 feet ; the lengths of the several lines being proportional to the cor- responding logarithms in the tables . Portions of a foot will represent the logarithms of numbers between 1 and 10 ; and ...
Página 129
... feet , and the angle at the base 3330 , what is the length of the perpendicular ? Ans . 211 . 2. If the sum of the hypothenuse and base be 185,3 and the angle at the base 37 ° , what is the perpendicular ? Ans . 620./S- 3. Given the sum ...
... feet , and the angle at the base 3330 , what is the length of the perpendicular ? Ans . 211 . 2. If the sum of the hypothenuse and base be 185,3 and the angle at the base 37 ° , what is the perpendicular ? Ans . 620./S- 3. Given the sum ...
Página 2
... feet = 1 yard . inches = 1 foot . 9 feet = 1 yard . 6 feet = 1 fathom . 36 feet = 1 fathom . 16 feet = 1 rod . 5 yards = 1 rod . = 1 chain . 2721 feet = 1 rod . 30 yards 1 rod . 4 rods 40 rods -1 furlong . 320 rods 1 mile . 16 rods 1600 ...
... feet = 1 yard . inches = 1 foot . 9 feet = 1 yard . 6 feet = 1 fathom . 36 feet = 1 fathom . 16 feet = 1 rod . 5 yards = 1 rod . = 1 chain . 2721 feet = 1 rod . 30 yards 1 rod . 4 rods 40 rods -1 furlong . 320 rods 1 mile . 16 rods 1600 ...
Página 3
... feet are there in a floor 23 feet long , and 18 feet broad ? Ans . 234 × 18-423 . 2. What are the contents of a piece of ground which is 66 feet square ? Ans . 4356 sq . feet 16 sq . rods . - 3. How many square feet are there in the ...
... feet are there in a floor 23 feet long , and 18 feet broad ? Ans . 234 × 18-423 . 2. What are the contents of a piece of ground which is 66 feet square ? Ans . 4356 sq . feet 16 sq . rods . - 3. How many square feet are there in the ...
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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...