A Course of Mathematics ...: Designed for the Use of the Officers and Cadets of the Royal Military College, Volumen1C. Glendinning, 1807 |
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Página 233
... frustum HTOP , is equal to the difference between the cylinder HdDP and the cone CnN . And that the spherical segment TAO , is equal to the difference between the cylinder dWBD and the conic frus- tum nWBN . 135. Similar upright prisms ...
... frustum HTOP , is equal to the difference between the cylinder HdDP and the cone CnN . And that the spherical segment TAO , is equal to the difference between the cylinder dWBD and the conic frus- tum nWBN . 135. Similar upright prisms ...
Página 357
... cone , whose height is 20 feet , and the diameter of its base 10 ? The slant height is 20 6155. Circumference of the base 31-416 . And 31.416 2 X 20 6155323.828 feet . Ans . To find the convex surface of a Conic Frustum , OF SOLIDS . 357.
... cone , whose height is 20 feet , and the diameter of its base 10 ? The slant height is 20 6155. Circumference of the base 31-416 . And 31.416 2 X 20 6155323.828 feet . Ans . To find the convex surface of a Conic Frustum , OF SOLIDS . 357.
Página 358
... frustum . B D Examp . Suppose the circumferences of the two ends of the frustum are 24 and 15 , and the slant height 6 ; what is the curve surface ? Because the sectors BCA , DCG are similar , we have BA : DG :: BC : DC And BADG : DG ...
... frustum . B D Examp . Suppose the circumferences of the two ends of the frustum are 24 and 15 , and the slant height 6 ; what is the curve surface ? Because the sectors BCA , DCG are similar , we have BA : DG :: BC : DC And BADG : DG ...
Página 359
... frustum . Let OB be perpendicular to AB : then the triangles PCS , OIB are similar , whence PC : PS : OI OB ; but QA ... frustum described by Of 276 :) whence it appears that the conve surfaces of the cylinder , and conic frustum ...
... frustum . Let OB be perpendicular to AB : then the triangles PCS , OIB are similar , whence PC : PS : OI OB ; but QA ... frustum described by Of 276 :) whence it appears that the conve surfaces of the cylinder , and conic frustum ...
Página 365
... frustum , and suppose the sides ASDR , and OBWZ are perpendicular to the ends . S VO Z E R B D If the frustum is cut through S and D by the planes SCGZ , DEIW perpendicular to the ends , it will be divided into two wedges AZ and EW ...
... frustum , and suppose the sides ASDR , and OBWZ are perpendicular to the ends . S VO Z E R B D If the frustum is cut through S and D by the planes SCGZ , DEIW perpendicular to the ends , it will be divided into two wedges AZ and EW ...
Términos y frases comunes
angle ACB arith arithmetical arithmetical mean base battalions bisect breadth centre chord ciphers circle circumference consequently corol cosine cube root cubic decimal defilé diameter diff difference distance ditch divided dividend division divisor example farthings feet figure frustum give given line half the arc half the perimeter height Hence horizontal improper fraction inches integer intersection isosceles least common multiple length logarithm mean proportional measure miles mixt number multiplied nearly number of terms opposite angles paces parallel parallelogram perpendicular plane polygon prism pyramid quadrilateral quotient radius ratio rectangle Reduce remainder rhombus right angles right line right-angled triangle scale of equal segment shillings sides similar sine square root subtracted Suppose tangent Theodolite toises VULGAR FRACTIONS whole number yards
Pasajes populares
Página 100 - Multiply the whole augmented divisor by this last quotient figure, and subtract the product from the said dividend, bringing down to the next period of the given number, for a new dividend. Repeat the same process over again — viz. find another new divisor, by doubling all the figures now...
Página 95 - If the errors are unlike, divide the sum of the products by the sum of the errors, and the quotient will be the answer.
Página 220 - A solid angle is that which is made by the meeting of more than two plane angles, which are not in the same plane, in one point. X. ' The tenth definition is omitted for reasons given in the notes.
Página 180 - Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another.
Página 114 - When any number of quantities are proportionals, as one antecedent is to its consequent, so is the sum of all the antecedents to the sum of all the consequents.
Página 189 - A sector, is any part of a circle bounded by an arc, and two radii, drawn to its extremities. A quadrant, or quarter of a circle, is a sector having a quarter part of the circumference for its arc, and the two radii perpendicular to each other.
Página 334 - To find the area of a triangle. RULE.* Multiply the base by the perpendicular height, and half the product will be the area.
Página 165 - To Divide One Number by Another, Subtract the logarithm of the divisor from the logarithm of the dividend, and obtain the antilogarithm of the difference.
Página 211 - If there be any number of proportionals, as one antecedent is to its consequent, so is the sum of all the antecedents to the sum of all the consequents.
Página 207 - Similar rectilineal figures are those which have their several angles equal, each to each, and the sides about the equal angles proportionals. II. " Reciprocal figures, viz. triangles and parallelograms, " are such as have their sides about two of their " angles proportionals in such a manner, that a side