An Introduction to Mensuration and Practical GeometryU. Hunt & son, 1833 - 288 páginas |
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Página 91
... per pendicular to the transverse axis , passing through the centre of the ellipse , and terminated both ways by the circumfer ence , is called the conjugate axis . 9. Ar ordinate is a right line drawn from any CONIC SECTIONS . 91.
... per pendicular to the transverse axis , passing through the centre of the ellipse , and terminated both ways by the circumfer ence , is called the conjugate axis . 9. Ar ordinate is a right line drawn from any CONIC SECTIONS . 91.
Página 93
... conjugate diameter is a line drawn through the Centre perpendicular to the transverse . 18. An ordinate is a line drawn from any point in the curve perpendicular to the axis ; and the abscissa is the distance intercepted between that ...
... conjugate diameter is a line drawn through the Centre perpendicular to the transverse . 18. An ordinate is a line drawn from any point in the curve perpendicular to the axis ; and the abscissa is the distance intercepted between that ...
Página 94
... conjugate diameters , an ordinate and its abscissa , to find the fourth . CASE I. When the transverse , conjugate , and abscissa are known , to find the ordinate . ones : viz . a triangle , a circle , an ellipsis , a parabola , and an ...
... conjugate diameters , an ordinate and its abscissa , to find the fourth . CASE I. When the transverse , conjugate , and abscissa are known , to find the ordinate . ones : viz . a triangle , a circle , an ellipsis , a parabola , and an ...
Página 95
... conjugate 25 , and the abscissa 28 ; what is the ordinate ? Ans . 10 . CASE II . When the transverse , conjugate , and ordinate are known , to find the abscissa . * Let t the transverse diameter , c = conjugate , x = any abscissa , and ...
... conjugate 25 , and the abscissa 28 ; what is the ordinate ? Ans . 10 . CASE II . When the transverse , conjugate , and ordinate are known , to find the abscissa . * Let t the transverse diameter , c = conjugate , x = any abscissa , and ...
Página 96
... conjugate , ordinate , and abscissa are known , to find the transverse . RULE . † 1. To or from the semi - conjugate , according as the greater or less abscissa is used , add or subtract the square * This rule in algebraic terms is as ...
... conjugate , ordinate , and abscissa are known , to find the transverse . RULE . † 1. To or from the semi - conjugate , according as the greater or less abscissa is used , add or subtract the square * This rule in algebraic terms is as ...
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Términos y frases comunes
12 feet 20 feet 9 inches ABCD abscissa ADBA altitude arch axis base Bisect breadth cask centre circular circumference cone conjugate diameter convex superficies convex surface cube root cubic inches cylinder decimal Demon diameter dimensions divided elliptic equal EXAMPLES feet 6 inches feet 9 figure find the area find the solidity fluxion foot girth give the solidity greater end groin half the arc hyperbola length less end linear side measure middle diameter middle frustrum Multiply the area multiply the sum ordinate parabola parallel pentagon pentagonal pyramid perpendicular height plane polygon PROBLEM prolate spheroid pyramid quotient radius regular polygon Required the area Required the solidity right angles right line roof segment slant height SLIDING RULE solid content solidity required specific gravity sphere spheroid square root thickness transverse diameter trapezium triangle ullage velocity versed sine wheel wine gallons yard
Pasajes populares
Página 50 - The areas of circles are to each other as the squares of their diameters.
Página 217 - Also, as a cubic foot of water weighs just 1000 ounces avoirdupois5 the numbers in the table express, not only the specific gravities of the several bodies, but also the weight of a cubic foot of each in avoirdupois ounces ; and...
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 125 - To find the solidity of a cylinder. RULE. — Multiply the area of the base by the altitude, and the product will be the solidity.
Página 192 - ... foot ; there being three stories, and three windows in each story. The height of the lower tier is 7 feet 9 inches, of the middle 6 6 of the upper 5 3| and of an oval window over the door 1 105 the common breadth of all the windows being 3 feet 9 inches. Ans. £12, Is. 8|d. PAVERS' WORK — Pavers- work is done by the square yard.
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 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.
Página 15 - The radius of a circle is a right line drawn from the centre to the circumference.
Página 54 - To find the Area of a Triangle. Rule ] . Multiply the base by the perpendicular height, and half the product will be the area.