In Mathematica, how to superpose two ListLinePlot? - wolfram-mathematica

Question

I was using ListPlot to draw two smooth lines through some data points. But I want to superpose the plot.I learned that the method used by ListPlot for interpolation is to interpolate each coordinate as a function of the list index. So I can not simply plus two
interpolations of my two points.
thanks,
jzm
Here is some text for copy/paste:
myPoints1 = {{1.4620657889458748`,
335.2985577878116`}, {1.4620965802217518`,
103.38351787529564`}, {1.4621942025270345`,
62.5559208248015`}, {1.462354896492246`,
45.566589506360216`}, {1.4625751467402768`,
36.264281440327565`}, {1.4628516301983985`,
30.399003865053114`}, {1.4631812807492346`,
26.367460111951058`}, {1.4635611902991474`,
23.429554855802188`}, {1.4639886111585874`,
21.195443300677702`}, {1.464460983399038`,
19.440829611123966`}, {1.4649759015994719`,
18.02777886500251`}, {1.4655311109490736`,
16.86675689819105`}, {1.466124470097565`,
15.896899417397284`}, {1.4667539758770534`,
15.075547889029616`}, {1.467417728656181`,
14.37183869811537`}, {1.468113935160521`,
13.76291072113658`}, {1.4688409098827062`,
13.231534377122449`}, {1.4695970390339186`,
12.764290193109172`}, {1.4703808152150737`,
12.350655500316538`}, {1.47119080820051`,
11.982259112096562`}, {1.4720256766729714`,
11.652466731657922`}, {1.4728841551349938`,
11.35608813384227`}, {1.4737650210799367`,
11.088805023428025`}, {1.4746670942175184`,
10.846730689594123`}, {1.4755892711659102`,
10.626599181057326`}, {1.4765305432312286`,
10.425844517518913`}, {1.4774899140433866`,
10.242189544437958`}, {1.4784664768294848`,
10.07388845283117`}, {1.4794593535682306`,
9.91948469998374`}, {1.480467656424019`,
9.777491405153027`}, {1.4814906043125302`,
9.646805534544441`}, {1.4825273964568986`,
9.526291139015447`}, {1.4835772786981303`,
9.414764726544572`}, {1.4846395968104766`,
9.311395888282872`}, {1.4857136927436698`,
9.215545785306015`}, {1.4867989654798728`,
9.12678547130485`}, {1.487894785812934`,
9.0445918653539`}, {1.489000547636927`,
8.968341543739935`}, {1.49011571024499`,
7.71616343700933`}, {1.4912397307928495`,
4.4771368717931965`}, {1.4930948425223702`,
2.7599903709003706`}, {1.4972705714803425`, 2.137733395169292`}};
myPoints2 = {{1.9550995254889463,
0.7164793699550908}, {1.9391287471262355,
0.41710931241140287}, {1.9139528821159193,
0.3490726623599497}, {1.884617534719042,
0.3308820126668058}, {1.8540123750258504,
0.33265450551933234}, {1.8237456098779754,
0.3452794413751484}, {1.7946805323610866,
0.36513934480358856}, {1.7672498634600862,
0.3905924543768967}, {1.7416378319498413,
0.42085584504202456}, {1.717886011205134,
0.45557423825820337}, {1.6959554065943552,
0.49463019895914645}, {1.675763216373194,
0.5380524422510392}, {1.6572047192352064,
0.5859687470445493}, {1.6401662975943239,
0.6385812315738714}, {1.6245331447101943,
0.6961532977719818}, {1.6101937002933333,
0.7590036122922289}, {1.5970420916568349,
0.8275045669571167}, {1.5849793700525658,
0.9020832266507519}, {1.5739139593253322,
0.9832255360102758}, {1.5637616875683809,
1.071482155332956}, {1.5544455489784297,
1.1674755467368436}, {1.5458952859916812,
1.2719109855898907}, {1.538046945587126,
1.3855881585132812}, {1.5308423787211705,
1.5094157124835617}, {1.5242287288899015,
1.6444321762294256}, {1.5181579889629853,
1.7918272163885938}, {1.512586535548833,
1.952969437543702}, {1.5074747129386745,
2.1294427702228105}, {1.5027864632086367,
2.3230885849762424}, {1.4984889655043911,
2.536061738604728}, {1.4945523307439923,
2.7708992557015053}, {1.4909493139037207,
3.0306073328297867}, {1.4876550515968234,
3.3187795649748657}, {1.4846468371914137,
3.6397480437107252}, {1.481903916697491,
3.9987774524193394}, {1.4794072959177726,
4.4023273698572325}, {1.4771395719585305,
4.858408392792459}, {1.4750847772800355,
5.37708563628973}, {1.4732282431253443,
5.971204815109932}, {1.4715564902918326,
6.657415608955233}, {1.4700571242943155,
7.457674059555506}, {1.4687187279247118,
8.40154880208839}, {1.4675307832019475,
9.529729255387132}, {1.4664835796976867,
10.899794007715421}, {1.46556811155878,
12.596323274840168}, {1.4647760611386595,
14.748618559900901}, {1.4640997339059703,
17.564564972128032}, {1.463531979901696,
21.401490423013954}, {1.4630661880201312,
26.92897502098747}, {1.462696204020183,
35.566591773864054}, {1.4624163023794263,
50.94289950596402}, {1.462221186527755,
85.91265697099175}, {1.4621058905589708,
243.1565306412274}, {1.4620657889458748, 335.2985577878116}};
what I want is not
Show[ListPlot[myPoints1, Joined -> True, Mesh -> Full],
ListPlot[myPoints2, Joined -> True, Mesh -> Full]]
don't know how to get the plot of the value's superpostion of the two plot.Please help!:)
The meaning of "superpostion" is to get the plus of the value of the two curves at every x-axis.

Answer 1

Sounds like you want something like this in order to "plus" your lines.
it1 = Interpolation[myPoints1];
it2 = Interpolation[myPoints2];
t1 = Table[it1[i], {i, 1.467, 1.497, 0.001}];
t2 = Table[it2[i], {i, 1.467, 1.497, 0.001}];
t3 = Transpose[{Range[1.467, 1.497, 0.001], t1 + t2}];
ListPlot[{myPoints1, myPoints2, t3}, Joined -> True,
PlotRange -> {{1.467, 1.497}, {0, 30}}, PlotMarkers -> Automatic]