A Complete System of Mensuration ...1851 |
Dentro del libro
Resultados 1-5 de 8
Página 85
... ellipse , as DBP . Cor . If AC be produced beyond C to b , so that Ab : ¿ Cˆ : : AB : BC , the point b will be in the ellipse , which , therefore , contains a space . 6. If CB be greater than BA , or the ratio be one of majority , the ...
... ellipse , as DBP . Cor . If AC be produced beyond C to b , so that Ab : ¿ Cˆ : : AB : BC , the point b will be in the ellipse , which , therefore , contains a space . 6. If CB be greater than BA , or the ratio be one of majority , the ...
Página 86
... ellipse in which it meets the curve , are called its vertices . But in the hyperbola , the vertices Pp are the points in which it meets the circle described from B , with the radius OC . 9. Every straight line which is perpendicular to ...
... ellipse in which it meets the curve , are called its vertices . But in the hyperbola , the vertices Pp are the points in which it meets the circle described from B , with the radius OC . 9. Every straight line which is perpendicular to ...
Página 87
... ellipse ; to describe the curve . Add the squares of the two semiaxes in the hyperbola , or subtract them in the ellipse , and take the square root of the sum or remainder : this root has to the transverse semiaxis the ratio of the ...
... ellipse ; to describe the curve . Add the squares of the two semiaxes in the hyperbola , or subtract them in the ellipse , and take the square root of the sum or remainder : this root has to the transverse semiaxis the ratio of the ...
Página 88
... ellipse about one of its axes . It is called a Prolate Spheroid when the revolution is made about the transverse axis , and an Oblate Spheroid when made about the conjugate . NOTE . The axis about which the ellipse revolves is called ...
... ellipse about one of its axes . It is called a Prolate Spheroid when the revolution is made about the transverse axis , and an Oblate Spheroid when made about the conjugate . NOTE . The axis about which the ellipse revolves is called ...
Página 89
... ellipse , and so is any sector or segment of the circle to the sector or segment of the ellipse , which has the same chord perpendicular to the first - mentioned axis . * 1. Required the area of the ellipse ABCD , of which the semiaxes ...
... ellipse , and so is any sector or segment of the circle to the sector or segment of the ellipse , which has the same chord perpendicular to the first - mentioned axis . * 1. Required the area of the ellipse ABCD , of which the semiaxes ...
Otras ediciones - Ver todas
Términos y frases comunes
18 feet 18 inches 20 feet 9 inches ABCD acres arch arithm axis base base 36 bound breadth central distance centre chord circle circular circumference cosine cubic feet cubic inches curve cylinder diagonal divided double measure draw EDINBURGH ACADEMY ellipse equal feet 6 inches feet long find the area find the solid fleur-de-lis frustum Geom girt given gonal greatest diameter half the sum hyperbola hypotenuse inches broad logarithm mouldings multiply NOTE parabola parallel pentagonal pyramid perches perpendicular perpendicular height poles polygon PROB pyramid quotient radius Required the area Required the content Required the solid Required the surface right angle roods RULE segment side-walls sides solid content spheroid spindle square feet square foot square yard station straight line subtract taken tangent THEODOLITE thickness triangle ABC versed sine
Pasajes populares
Página 74 - To twice the length of the base add the length of the edge ; multiply the sum by the breadth of the base, and by one-sixth of the height.
Página 188 - I would have a square foot cut off parallel to the shorter edge ; I would then have the like quantity divided from the remainder parallel to the longer side...
Página 57 - So IS THE AREA OF THE CIRCLE, TO THE AREA OF THE SECTOR.
Página 64 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Página 12 - Quadrilateral ; of five sides a Pentagon ; of six sides a Hexagon ; of seven sides a Heptagon ; of eight sides an Octagon ; of nine sides a Nonagon ; of ten sides a Decagon ; of twelve sides a Dodecagon.
Página 71 - To find the solidity of a cone. RULE. Multiply the area of the base by the perpendicular height, and ^ of the product will be the solidity.
Página 36 - Art. 191. THE area or surface of a figure is the number of square inches, feet, yards, &c., which it contains. A square constructed upon a straight line, of which the length is an inch, is called a square inch; and the same is to be understood of a square foot, &c. This is called the measuring unit, and the area of any figure is the number of times it contains the measuring unit. Art. 192. To FIND THE AREA OF A TRIANGLE.
Página 144 - To prove that the exterior angle of a triangle is equal to the sum of the two interior opposite angles (see fig.
Página 33 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Página 88 - A SPHEROID is a solid, generated by the revolution of an ellipse about one of its diameters. If the ellipse revolves about its longer or...