A Course of Mathematics: In Two Volumes. Composed for the Use of the Royal Military Academy, Volume 1Longman, Orme & Company, 1841 - Mathematics |
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Page 283
... of the cubes of the natural numbers is equal to the square of the sum of those numbers themselves . is un = n ( 3n ā 1 ) ; THE METHOD OF FINITE DIFFERENCES . 283 To find the sum of a series Problems on plane surfaces 414.
... of the cubes of the natural numbers is equal to the square of the sum of those numbers themselves . is un = n ( 3n ā 1 ) ; THE METHOD OF FINITE DIFFERENCES . 283 To find the sum of a series Problems on plane surfaces 414.
Page 291
... plane surface is one in which any two points being taken , the straight line passing through them shall lie wholly in that plane . If this be not the case , the superficies is said to be a curved surface . 15. A circle is a figure lying ...
... plane surface is one in which any two points being taken , the straight line passing through them shall lie wholly in that plane . If this be not the case , the superficies is said to be a curved surface . 15. A circle is a figure lying ...
Page 292
... Plane figures are bounded either by right lines or curves . KEA 00000 28. Plane figures that are bounded by right lines have names according to the number of their sides , or of their angles ; for they have as many sides as angles ; the ...
... Plane figures are bounded either by right lines or curves . KEA 00000 28. Plane figures that are bounded by right lines have names according to the number of their sides , or of their angles ; for they have as many sides as angles ; the ...
Page 293
... Plane figures that have more than four sides are , in general , called poly- gons ; and they receive other particular names , according to the number of their sides or angles . Thus , 46. A pentagon is a polygon of five sides ; a ...
... Plane figures that have more than four sides are , in general , called poly- gons ; and they receive other particular names , according to the number of their sides or angles . Thus , 46. A pentagon is a polygon of five sides ; a ...
Page 295
... plane geometry , though general usage has restricted the term , plane geometry , to a particular class of such figures as may be traced upon a plane . These figures are entirely com- posed of straight lines and circles , which are ...
... plane geometry , though general usage has restricted the term , plane geometry , to a particular class of such figures as may be traced upon a plane . These figures are entirely com- posed of straight lines and circles , which are ...
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Common terms and phrases
ABCD algebraic altitude arithmetical arithmetical progression base bisect breadth centre chord circle circumference coefficients common cone cosec cube root decimal denominator denoted diagonal diameter difference dihedral angle distance divided divisor draw drawn equal equation equiangular EXAMPLES expression figure fraction frustum geometrical given line greater hence inscribed integer intersection join length less lineation logarithms mantissa measure meeting method multiplied parallel parallel ruler parallelogram perpendicular plane polygon prism PROBLEM proportional quantity quotient radii radius ratio rectangle Reduce right angles rule Scholium segment sides sine solid angle solution square root straight line subtraction tangent THEOREM third trapezium triangle ABC uā vulgar fraction Whence