An Introduction to Mensuration and Practical GeometryKimber & Sharpless, 1835 - 288 páginas |
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Página 85
... curve , be found as follows : the area may Rule 1. Erect any number of perpendiculars upon the base , at equal distances , and find their lengths . 2. Add the lengths of the perpendiculars , thus found , together , and the sum divided ...
... curve , be found as follows : the area may Rule 1. Erect any number of perpendiculars upon the base , at equal distances , and find their lengths . 2. Add the lengths of the perpendiculars , thus found , together , and the sum divided ...
Página 92
... curve , perpendicular to either of the diameters . 10. An abscissa is that part of the diameter which is contained between the vertex and the ordinate . 11. If a cone be cut by a plane , which is parallel to either of its slant sides ...
... curve , perpendicular to either of the diameters . 10. An abscissa is that part of the diameter which is contained between the vertex and the ordinate . 11. If a cone be cut by a plane , which is parallel to either of its slant sides ...
Página 93
... curve perpendicular to the axis ; and the abscissa is the distance intercepted between that ordinate and the vertex . PROBLEM I. To describe an ellipsis , the transverse and conjugate diam- eters being given . B Fn n * The two opposite ...
... curve perpendicular to the axis ; and the abscissa is the distance intercepted between that ordinate and the vertex . PROBLEM I. To describe an ellipsis , the transverse and conjugate diam- eters being given . B Fn n * The two opposite ...
Página 94
... curve A & CBD , and it will be the circumference of the ellipse required . PROBLEM II . In an ellipsis , any three of the four following terms being given , viz . the transverse and conjugate diameters , an ordinate and its abscissa ...
... curve A & CBD , and it will be the circumference of the ellipse required . PROBLEM II . In an ellipsis , any three of the four following terms being given , viz . the transverse and conjugate diameters , an ordinate and its abscissa ...
Página 100
... curve we shall have y = √tx - x2 , and the fluxion C of the area EAF ( = ( yx ) = - × x√tx — x2 . But × √tx - x2 is known to express the fluxion of the corresponding circu- lar segment , whose versed sine is x , and the diameter t ...
... curve we shall have y = √tx - x2 , and the fluxion C of the area EAF ( = ( yx ) = - × x√tx — x2 . But × √tx - x2 is known to express the fluxion of the corresponding circu- lar segment , whose versed sine is x , and the diameter t ...
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Términos y frases comunes
12 feet 9 inches ABCD abscissa ADBA altitude Avoirdupois axis base Bisect breadth cask centre chord of half circumference cone conjugate diameter convex surface cube root cubic inches cylinder decimal Demon distance divided draw the line ellipse equal EXAMPLES feet 6 inches feet 9 figure find the area find the solidity fluxion foot frustrum girth give the solidity given line greater end half the arc head diameter horse power hyperbola length less end linear side measure minute multiply the sum ordinate parabola parallel pentagon perpendicular plane polygon PROBLEM proportion pyramid quotient radius regular polygon Required the area Required the solidity right angled right line segment sine of half slant height SLIDING RULE solid content solidity required specific gravity sphere spheroid square feet square root thickness transverse diameter trapezium triangle ullage velocity versed sine water wheel wheel wine gallons yard
Pasajes populares
Página 119 - A sphere is a solid figure described by the revolution of a semicircle about its diameter, which remains unmoved.
Página 7 - The square of the sum of two numbers is equal to the square of the first number plus twice the product of the first and second number plus the square of the second number.
Página 88 - ... 11.701 ft. 74. A right-angled triangle has its base 16 rods, and its perpendicular 12 rods, and a triangle is cut off from it by a line parallel to its base, of which the area is 24 rods. Required the sides of that triangle. Ans. 8, 6, and 10 rods. 75. There is a circular pond whose area is 5028f square feet, in the middle of which stood a pole 100 feet high ; now, the pole having been broken off, it was observed that the top portion resting on the stump just reached the brink of the pond. What...
Página 20 - In a right-angled triangle, the side opposite to the right angle, is called the hypothenuse ; and the other two sides are called the legs, and sometimes the base and perpendicular : thus, A, B is the base, B, C perpendicular, and A, C hypothenuse.
Página 78 - When the quotient arising from the versed sine divided by the diameter, has a remainder or fraction after the third place of decimals ; having taken the area...
Página 19 - Parallel straight lines are such as are in the same plane, and which, being produced ever so far both ways, do not meet.
Página 21 - 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 260 - MECHANICAL POWERS are certain simple instruments employed in raising greater weights, or overcoming greater resistance than could be effected by the direct application of natural strength. They are usually accounted six in number; viz. the Lever, the Wheel and Axle, the Pulley, the Inclined Plane, the Wedge, and the Screw.
Página 54 - To find the area of a rectangular board, whose length is 12-^ feet, and breadth 9 inches. Ans. 9f feet.
Página 96 - As the conjugate diameter is to the transverse, So is the square root of the difference of the squares of the ordinate and semi-conjugate, To the distance between the ordinate and centre.