## A Course of Mathematics: In Two Volumes. Composed for the Use of the Royal Military Academy, Volume 1Longman, Orme & Company, 1841 - Mathematics |

### From inside the book

Results 1-5 of 12

Page 348

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**prism**takes particular names according to the figure of its base or ' ends , whether triangular**prism**, square**prism**, rectangular**prism**, pentagonal**prism**, hexagonal**prism**, and so on . 11. ( 97. ) A right**prism**is that which has ... Page 355

... Scholium . The properties in this theorem are the foundation of the method of co - ordinates in space , and of the principles and practice of Descriptive Geometry . THEOREM XVI . ( 111. ) If any

... Scholium . The properties in this theorem are the foundation of the method of co - ordinates in space , and of the principles and practice of Descriptive Geometry . THEOREM XVI . ( 111. ) If any

**prism**be. A a 2 THEOREMS . 355. Page 356

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**prism**be cut by a plane parallel to its base , the section will be equal and similar to the base . LET AG be any**prism**, and IL a plane parallel to the base , AC ; then will the plane IL be equal and similar to the base AC , or the two ... Page 364

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**prism**AD into two parts AF , ED , and any one of its parallel edges AC into the parts AE , EC : then**prism**AF :**prism**ED :: AE : EC . W U E F D X Y Z IV L IM T H K P 0 A E C ૨ R S For produce the planes AK , AN , BN , BK ; and in ... Page 365

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**prism**and cylinder is equal to a rectangular parallelopiped , of equal base and altitude with it . THEOREM XXXI ...**prism**ER upon it equiangular to the**prism**AL . Make AP ' equal to EP , and draw the plane P'R ' parallel to AC ...### Other editions - View all

### 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 u₁ vulgar fraction Whence