Trazado

Trazado
Localización de los Puntos de Intersección (PI) del Polígono del Proyecto

Punto | latitud | Longitud | ∆x | ∆y | √∆x2+∆y2 |
  | (x) | (y) | (m) | (m) | (m) |
PI1 | 776803,84 |9977744,85 |   |   |   |
  |   |   | 23,15 | 0,84 | 23,17 |
V1 | 776803,00 | 9977768,00 |   |   |   |
  |   |   | 51,33 | 8,96 | 52,11 |
V2 | 776794,04 | 9977716,67 |   |   |   |
  |   |  | 28,18 | 9,80 | 29,83 |
PI1 | 776803,84 | 9977744,85 |   |   |   |

c = 52,11 m
b =23,17 m
V1
V2
B
a =29,83 m
PI1
C
Ley de los cosenos a2=b2+c2-2bcCosA

A

∡A =ArcCosb2+c2-a22bc
∡A=ArcCos(23,17)2+(52,11)2-(29,83)2223,17(52,11)
∡A = 11° 56´ 49,2´´

∡B = ArcCosa2+c2-b22ac
∡B = ArcCos(29,83)2+(52,11)2-(23,17)2229,83(52,11)
∡B = 09° 15´ 09,8´
∡C =ArcCosb2+a2-c22ba
∡C = ArcCos(23,17)2+(29,83)2-(52,11)2223,17(52,11)
∡C = 158° 48´ 01.0´´

Comprobación.-

Σ ∡interiores = 180°
∡A +∡B + ∡C = 180°00´00´´
11° 56´ 49,2´´
+ 09° 15´ 09,8´´
158° 48´ 01.0´´
180° 00´ 00,0´´
Punto |latitud | Longitud | ∆x | ∆y | √∆x2+∆y2 |
  | (x) | (y) | (m) | (m) | (m) |
PI2 | 776806,00 | 9977707,00 | |   |   |
  |   |   | 11,96 | 9,67 | 15,38 |
V2 | 776794,04 | 9977716,67 |   |  |   |
  |   |   | 21,33 | 25,84 | 33,51 |
V3 | 776815,37 | 9977690,83 |   |   |   |
  |   |   | 9,37 | 16,17 | 18,69 |
PI2 | 776806,00 | 9977707,00 |   |   |   |

V2
Ley de los cosenosa2=b2+c2-2bcCosA
b =15,38 m

A
PI2

C

c = 33,50 m
a =18,69 m

B

V3

∡A = ArcCosb2+c2-a22bc
∡A=ArcCos(15,38)2+(33,50)2-(8,69)2215,38(33,50)
∡A = 11° 34´ 55,1´´

∡B =ArcCosa2+c2-b22ac
∡B = ArcCos(18,69)2+(33,50)2-(15,38)2218,69(33,50)
∡B = 09° 30´ 34,6´´

∡C = ArcCosb2+a2-c22ba
∡C = ArcCos(18,69)2+(15,38)2-(33,50)2218,69(15,38)...