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 124
... a = 1 ' 2 ' , 3 ' , & c . successively , we shall have expressions for the sines and cosines of a series of arcs increasing regularly by one minute . Thus , • See note H. sin ( 1 + 1 ) -2 sin 1'xcos 1 124 COMPUTATION OF THE CANON .
... a = 1 ' 2 ' , 3 ' , & c . successively , we shall have expressions for the sines and cosines of a series of arcs increasing regularly by one minute . Thus , • See note H. sin ( 1 + 1 ) -2 sin 1'xcos 1 124 COMPUTATION OF THE CANON .
Página 143
... regular polygon , or to inscribe one in a given circle . Thus , to make a pentagon with the transverse distance from 6 to 6 for radius , describe a circle , and the distance from 5 to 5 will be the length of one of the sides of a ...
... regular polygon , or to inscribe one in a given circle . Thus , to make a pentagon with the transverse distance from 6 to 6 for radius , describe a circle , and the distance from 5 to 5 will be the length of one of the sides of a ...
Página 1
... regular polygon has all its sides equal , and all its angles equal . III . The height of a triangle is the length of a perpen- dicular , drawn from one of the angles to the opposite side ; as CP . ( Fig . 5. ) The height of a four sided ...
... regular polygon has all its sides equal , and all its angles equal . III . The height of a triangle is the length of a perpen- dicular , drawn from one of the angles to the opposite side ; as CP . ( Fig . 5. ) The height of a four sided ...
Página 11
... REGULAR POLYGON . 15. MULTIPLY ONE OF ITS SIDES INTO HALF ITS PER- PENDICULAR DISTANCE FROM THE Center , anD THIS PRO- DUCT INTO THE NUMBER OF SIDES . A regular polygon contains as many equal triangles as the figure has sides . Thus ...
... REGULAR POLYGON . 15. MULTIPLY ONE OF ITS SIDES INTO HALF ITS PER- PENDICULAR DISTANCE FROM THE Center , anD THIS PRO- DUCT INTO THE NUMBER OF SIDES . A regular polygon contains as many equal triangles as the figure has sides . Thus ...
Página 12
... regular hexagon ( Fig . 7. ) be 38 inches , what is the area ? The angle BCP of 360 ° -30 ° . Then , = R 19 cot 30 ° : 32.909 - CP , the perpendicular , And the area = 19 × 32.909 × 6 = 3751.6 2. What is the area of a regular decagon ...
... regular hexagon ( Fig . 7. ) be 38 inches , what is the area ? The angle BCP of 360 ° -30 ° . Then , = R 19 cot 30 ° : 32.909 - CP , the perpendicular , And the area = 19 × 32.909 × 6 = 3751.6 2. What is the area of a regular decagon ...
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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...