A Complete System of Mensuration ...1851 |
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Página 12
... is some property which obviously results from the demonstration of a proposition . 46. A SCHOLIUM is a remark or observation upon what precedes it . PROBLEMS . PROB . I. To draw a straight line 12 PRACTICAL GEOMETRY .
... is some property which obviously results from the demonstration of a proposition . 46. A SCHOLIUM is a remark or observation upon what precedes it . PROBLEMS . PROB . I. To draw a straight line 12 PRACTICAL GEOMETRY .
Página 13
... PROB . III . To bisect a given straight line AB . With a radius greater than half the line , describe from B the arc CDE , and from A the arc CFE , cutting the former in C and A E. Draw CE cutting AB in G. B E D B Di GF B Ε PROB . IV ...
... PROB . III . To bisect a given straight line AB . With a radius greater than half the line , describe from B the arc CDE , and from A the arc CFE , cutting the former in C and A E. Draw CE cutting AB in G. B E D B Di GF B Ε PROB . IV ...
Página 14
... PROB . VI . To divide a straight line AB into of equal parts , suppose five . Through A and B draw any paral- lels AC and BD , on different sides of AB . Take any convenient distance , and lay it four times ( one less than the given ...
... PROB . VI . To divide a straight line AB into of equal parts , suppose five . Through A and B draw any paral- lels AC and BD , on different sides of AB . Take any convenient distance , and lay it four times ( one less than the given ...
Página 15
... PROB . IX . To divide a straight line AB in any propor- tions , as of 3 , 5 , 7 . E A H B Draw any parallels AC and BD , through A and B on different sides of AB . From any scale of equal parts take the extent from 0 to 3 , and lay it ...
... PROB . IX . To divide a straight line AB in any propor- tions , as of 3 , 5 , 7 . E A H B Draw any parallels AC and BD , through A and B on different sides of AB . From any scale of equal parts take the extent from 0 to 3 , and lay it ...
Página 16
... PROB . XIV . To bisect a given angle ABC . From B , with any radius , cut the sides in A and C. From A describe the arc D , and from C cut it in D , and join BD , the angle ABD CBD . = B ट PROB . XV . To make , at A in AB , an angle ...
... PROB . XIV . To bisect a given angle ABC . From B , with any radius , cut the sides in A and C. From A describe the arc D , and from C cut it in D , and join BD , the angle ABD CBD . = B ट PROB . XV . To make , at A in AB , an angle ...
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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...