A Course of Mathematics: Composed for the Use of the Royal Military Academy |
From inside the book
Results 1-5 of 12
Page 379
... latus rectum of the parabola . 13. The part of the axis intercepted between its vertex and the point in which it is intersected by one of its own ordinates , is called the abscissa of the axis . 14. The part of the axis intercepted ...
... latus rectum of the parabola . 13. The part of the axis intercepted between its vertex and the point in which it is intersected by one of its own ordinates , is called the abscissa of the axis . 14. The part of the axis intercepted ...
Page 380
... latus rectum is equal to four times the distance from the focus to the vertex . That is , LI = 4 AS . N For , LI = 2 LS , Def . ( 14. ) cor . K = 2 LN A S = 2 SK = 4 AS AS AK . = PROP . III . To draw a tangent to the 380 CONIC SECTIONS .
... latus rectum is equal to four times the distance from the focus to the vertex . That is , LI = 4 AS . N For , LI = 2 LS , Def . ( 14. ) cor . K = 2 LN A S = 2 SK = 4 AS AS AK . = PROP . III . To draw a tangent to the 380 CONIC SECTIONS .
Page 382
... latus rectum . That is , MG = L if we denote the latus rectum by L. For , MG SG- SM = SP SM . Prop . 3. cor . 4 . = AS + AM SM . Prop . 1 . = AS + AS + SM - SM T A S M = 2 AS L = Prop . 2 . PROP . VI . If a straight line be drawn from ...
... latus rectum . That is , MG = L if we denote the latus rectum by L. For , MG SG- SM = SP SM . Prop . 3. cor . 4 . = AS + AM SM . Prop . 1 . = AS + AS + SM - SM T A S M = 2 AS L = Prop . 2 . PROP . VI . If a straight line be drawn from ...
Page 383
... latus rectum and the abscissa . That is , if P be any point in the curve For , PM2 SP2 — SM2 PM2 = L . AM . Geom . Theor . 34 . = ( AM + AS ) - ( AM - AS ) ... SP AM + AS ( Prop . 1 ) , & SM = AM - AS = 4 AS . AM . Geom . Theor . 31 ...
... latus rectum and the abscissa . That is , if P be any point in the curve For , PM2 SP2 — SM2 PM2 = L . AM . Geom . Theor . 34 . = ( AM + AS ) - ( AM - AS ) ... SP AM + AS ( Prop . 1 ) , & SM = AM - AS = 4 AS . AM . Geom . Theor . 31 ...
Page 386
... latus rectum . ( It will be proved in Prop . IV . , that the tangents at the principal vertices are perpendicular to the major axis ; hence , definitions 14 , 15 , 16 , are in reality included in the three which immediately precede them ...
... latus rectum . ( It will be proved in Prop . IV . , that the tangents at the principal vertices are perpendicular to the major axis ; hence , definitions 14 , 15 , 16 , are in reality included in the three which immediately precede them ...
Other editions - View all
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