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 226
... describe equal circles ; therefore every section of a cylinder parallel to its ends , is a circle equal to the base . 121. A Cone or round pyramid AVC is a solid generated by the rotation of a right angled triangle CDV about its ...
... describe equal circles ; therefore every section of a cylinder parallel to its ends , is a circle equal to the base . 121. A Cone or round pyramid AVC is a solid generated by the rotation of a right angled triangle CDV about its ...
Página 232
... describe the cylin- der PHWB ; the quadrant APC will H P E * A Learner will not readily comprehend this Theorem without models of the three pyramids . describe the hemisphere CPAH ; and the triangle CBA will 232 GEOMETRY .
... describe the cylin- der PHWB ; the quadrant APC will H P E * A Learner will not readily comprehend this Theorem without models of the three pyramids . describe the hemisphere CPAH ; and the triangle CBA will 232 GEOMETRY .
Página 233
... describe the hemisphere CPAH ; and the triangle CBA will describe the cone CBW . Let Dd be parallel to PH , and join CO . Then the radius CO CP RD : and because AB AC , RN will be = RC : but RO2 ( RN2 ) + RO2 = CO2 83 ) RD2 ; or RN2 + ...
... describe the hemisphere CPAH ; and the triangle CBA will describe the cone CBW . Let Dd be parallel to PH , and join CO . Then the radius CO CP RD : and because AB AC , RN will be = RC : but RO2 ( RN2 ) + RO2 = CO2 83 ) RD2 ; or RN2 + ...
Página 236
... describe two arcs of circles intersecting each other in C ; draw CA , CB . Then ABC is the trian- gle . B C For the radii or two shortest sides of the triangle are , by construction , equal to the given lines AC , BC . If both the ...
... describe two arcs of circles intersecting each other in C ; draw CA , CB . Then ABC is the trian- gle . B C For the radii or two shortest sides of the triangle are , by construction , equal to the given lines AC , BC . If both the ...
Página 237
... describe arcs intersecting each other in D ; then draw PD for the perpendi- cular required . ASPS B For if DS , DS , are joined , the triangle SDS will be isosceles ; therefore ( 46 , corol . 1 ) , PD is perpendicular to SS or AB . When ...
... describe arcs intersecting each other in D ; then draw PD for the perpendi- cular required . ASPS B For if DS , DS , are joined , the triangle SDS will be isosceles ; therefore ( 46 , corol . 1 ) , PD is perpendicular to SS or AB . When ...
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