A Course of Mathematics: Composed for the Use of the Royal Military Academy |
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Page 378
... axis , and the point in which it cuts the curve is called the principal vertex . Thus : draw N , P , W1 , Ng P2 W2 , N3 Pa W3 , KASX , through the points P1 , P2 , P3 , S , perpendicular to the directrix ; each of these lines is a ...
... axis , and the point in which it cuts the curve is called the principal vertex . Thus : draw N , P , W1 , Ng P2 W2 , N3 Pa W3 , KASX , through the points P1 , P2 , P3 , S , perpendicular to the directrix ; each of these lines is a ...
Page 379
... axis . 12. The ordinate to the axis which passes through the focus is called the principal parameter , or latus rectum of the parabola . 13. The part of the axis intercepted between its vertex and the point in which it is intersected by ...
... axis . 12. The ordinate to the axis which passes through the focus is called the principal parameter , or latus rectum of the parabola . 13. The part of the axis intercepted between its vertex and the point in which it is intersected by ...
Page 380
... axis intercepted between the intersections of the normal and the ordinate , is called the sub - normal . P. Thus : let TP be a tangent at any point From P draw PG perpendicular to the tan- gent , and PM perpendicular to the axis . Then ...
... axis intercepted between the intersections of the normal and the ordinate , is called the sub - normal . P. Thus : let TP be a tangent at any point From P draw PG perpendicular to the tan- gent , and PM perpendicular to the axis . Then ...
Page 381
... axis . Cor . 2. SP = ST For , since NW is parallel to TX :: < STP = < NPT = SPT by construction , .. SP = ST Cor . 3. Let Q q be an ordinate to the diameter PW , cutting SP in x . Then , Pr = Pv For , since Qq is parallel to Tt ...
... axis . Cor . 2. SP = ST For , since NW is parallel to TX :: < STP = < NPT = SPT by construction , .. SP = ST Cor . 3. Let Q q be an ordinate to the diameter PW , cutting SP in x . Then , Pr = Pv For , since Qq is parallel to Tt ...
Page 382
... axis is equal to twice the abscissa . That is , MT = 2 AM P For , MT = MS + ST = MSSP . Prop . 3. cor . 2 . = MS + SA + AM . Prop . 1 . T A S M = 2 AM . Cor . MT is bisected in A. PROP . V. The subnormal is equal to one half of the ...
... axis is equal to twice the abscissa . That is , MT = 2 AM P For , MT = MS + ST = MSSP . Prop . 3. cor . 2 . = MS + SA + AM . Prop . 1 . T A S M = 2 AM . Cor . MT is bisected in A. PROP . V. The subnormal is equal to one half of the ...
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Common terms and phrases
algebraic ALGEBRAIC QUANTITIES altitude axis base bisected body centre chord circle circumference co-ordinates Corol cosec cosine cube curve decimal denominator diameter difference differential co-efficient distance divide divisor draw dy dx equal equation Example exponent expression extract feet figure force fraction given gravity Hence hyperbola inches latus rectum least common multiple length logarithm manner monomial multiply nth root number of terms parabola parallel parallelogram perpendicular polynomial Prob PROBLEM PROP proportional quotient radius ratio rectangle reduced right angles rule sides sine specific gravity square root straight line Substituting subtract tangent THEOREM triangle ABC unknown quantity velocity VULGAR FRACTIONS weight whole number yards