Elements of analysis as applied to the mechanics of engineering and machinery . and y are represented by the abscissas A M and A N onthe axes A X and A y, and the dependent variable z^ by the ordinate0P of a point P in the surface ABC. If, with a determined valueof x^ we give different values to ^, we obtain in z the ordinates ofthe points of a curve E P F running parallel with the plane of co-ordinates YZ; but if, with a determined value of ?/, we assumedifferent values for x^ there results in z the ordinates of the pointsof a curve G P H running parallel with the plane of co-ordinates
Elements of analysis as applied to the mechanics of engineering and machinery . and y are represented by the abscissas A M and A N onthe axes A X and A y, and the dependent variable z^ by the ordinate0P of a point P in the surface ABC. If, with a determined valueof x^ we give different values to ^, we obtain in z the ordinates ofthe points of a curve E P F running parallel with the plane of co-ordinates YZ; but if, with a determined value of ?/, we assumedifferent values for x^ there results in z the ordinates of the pointsof a curve G P H running parallel with the plane of co-ordinates , the entire curved surface BCD may be regarded as acontinuous combination of curves running parallel with the planes of the co-ordinates. a{l~\-dy) The Law of Mariotte^ Gay^ and Lussac^ viz. z ac- X cording to which the volume z of a quantity of air may be calculatedby the pressure x temperature y of the same, may be graphic-ally illustrated by the curved surface GKPH, Fig. 8. AM is thepressure x^ AN MO the temperature y^ and OP the corresponding Fig. 7. Fig. 8,.
Size: 1590px × 1571px
Photo credit: © The Reading Room / Alamy / Afripics
License: Licensed
Model Released: No
Keywords: ., bookcentury1800, bookdecade1860, bookpublisherphiladelphiakingba
