iPOGO V5 Users Group - Help Manual

*Methodology Number 1 of 2*
Command:	4
Alpha Alias:	Arc Dir
Description:	Computes the point of intersection of an arc with one or more lines
Data Format:	4 Set From Bearing RadiusPoint Near Radius {[From Bearing]...} ;
Problem:	Given point number 19 on a line bearing North 65°20'14" East; point number 20 (a point number near the required solution); and point number 21 as the radius point of a curve having a radius of 200 feet. Set point number 22 at the intersection of the line and arc.
Solution:	4 22 19 -1 65 20 14 21 20 200 ;

Data Description

Command	4	Computes the point of intersection of a known arc or curve with one or more specified straight lines or bearings. The defined line or bearing can intersect the curve at two points. You must indicate your required point of intersection by specifying an existing point number that is located nearest to the solution to be retained.
Set	22	Point number of the initial point to be computed.
From	19	Point number of a previously computed or stored point which defines the line on which the computed point is to be set.
Bearing	-1 65 20 14	Direction of the line on which the point is to be computed. Bearings may be entered using quadrant definition and angle or point definition.
RadiusPoint	21	Point number of the previously computed radius point of the curve.
Near	20	Point number that is located nearer to the required solution than to the alternate solution. This will determine which point of intersection is retained.
Radius	200	Radius length of the curve or arc.
{[From Bearing]...}		Repeating feature of this command. See Methodology 2 for more information.
End Command	;	All commands end with a semi-colon.

Methodology Number 2 of 2

Command: 4

Alpha Alias: Arc Dir

Description: Computes the point of intersection of an arc with one or more lines

Data Format: 4 Set From Bearing RadiusPoint Near Radius {[From Bearing]...} ;

Problem: Given point numbers 17, 18 and 19 on lines bearing North 65°20'14" East; point numbers 15 and 16 that define a line; point number 20 (a point number near the required solution); and point number 21 as the radius point of a curve having a radius of 200 feet. Set point numbers 22 through 25 at the intersections of the lines and arc as shown.

Solution:
4 22 19 -1 65 20 14 21 20 200 18 -9 17 -9 16 15 16 ;

Data Description

Command	4	Computes the point of intersection of a known arc or curve with one or more specified straight lines or bearings. The defined line or bearing can intersect the curve at two points. You must indicate your required point of intersection by specifying an existing point number that is located nearest to the solution to be retained. If you use the repeating feature of this command to compute the points of intersection of the arc with more than one line, be sure to enter a Near point that will define all the required solutions.
Set	22	Point number of the initial point to be computed.
From	19	Point number of a previously computed or stored point which defines the line on which the computed point is to be set.
Bearing	-1 65 20 14	Direction of the line on which the point is to be computed. Bearings may be entered using quadrant definition and angle or point definition.
RadiusPoint	21	Point number of the previously computed radius point of the curve.
Near	20	Point number that is located nearer to the required solution than to the alternate solution. This will determine which point of intersection is retained. If you use the repeating feature of this command to compute the points of intersection of the arc with more than one line, be sure to enter a Near point that will define all the required solutions.
Radius	200	Radius length of the curve or arc.
{[From Bearing]...}	18 -9	Repeating feature of this command. The -9 recalls the last bearing used, N 65°20'14" E.
{[From Bearing]...}	17 -9	Repeating feature of this command. The -9 recalls the last bearing used, N 65°20'14" E.
{[From Bearing]...}	16 15 16	Repeating feature of this command. The bearing is defined by point numbers 15 and 16.
End Command	;	All commands end with a semi-colon.

Example Command File

$ Example data set for 4 (ARC DIR) command, 
$   methodology 2

$ Set the initial points.
  0 
    15 1084.2 1257.2
    16  958.5 1073.7
    17 1050.0  873.8
    18 1083.0  905.6
    19 1123.2  922.6 
    20 1208.4 1192.6 
    21 1000.0 1000.0 ;

$ Set points using the 4 command.
  4 22 19 -1 65 20 14 
             21 20 200 
             18 -9 
             17 -9 
             16 15 16 ;

$ Set additional points for drawing lines.
  1 1000 21 -3 65 0 0 200 ;

$ Setup plotting parameters with 
$   feature, layer, color, style, thickness
  15.1 L1 LINES1 7 1 1;

$ Turn plot on
  91;

$ Activate the current feature
  15 L1 ;
       $ draw the arcs
         7 1 1000 21.1 22 21.1 23 21.1 24 21.1 25 ;

       $ draw the lines
         6 1 19 22
             18 23
             17 24 
             15 16 ;

Help for this command was last updated: 06/28/2000 12:08:29 AM

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Group:Command:

4) Brg-Dist Intx4 or Arc Dir

Group:
Command:

4) Brg-Dist Intx
4 or Arc Dir