L

The length of the line from point 2 to point 9, k is k = r tan(|i)

The length of the line from point 2 to point 10, L is

The coordinates of point 9 are No = (k+L) * cos a . + N9

E9 = (k+L) * cos (3a+j + E2 V9 = (k+L) * cos Ya+j + V2

The coordinates of point 10 are

N10 = L * cos aa+j + N2 E10 = L * cos (3a+j + E2 V10 = L * cos ya+j + V2

The length of line t+z and its direction cosines are ^

N9-N4 E9-E4 V9-V4

The distance from point 9 to point 8, t, and the coordinates of point 8 4/

are r

N8 = t * cos at+z + N9 E8 = t*cos├čt+z + E9 V8 = t * cos yt+2 + V9

The length of line u from point 10 to point 8 and the direction cosines of 10^ u and m are u u = a/(N8 - N10)2 + (Eg - E10)2 + (V8 - V10)2

Selecting the length of line m to be unity, the coordinates of point 12 are

N12 = 1 * cos otj + N8 E12 = 1 * cos pj + E8 V12 = 1 * cos y^ + V8 The coordinates of point 11 which lies one unit directly above point 8 are

The length of line q from point. 11 to point 12 and the direction cosines of q are q = V(N12 - Nn)2 + (El2 - En)2 + (V12 - vn)2

The angle 5 between line n and line q is l2-l2-q2 8 = acos(- 2 * i * q )

The length of y, point 8 to point 14 is y = 1 * tan(S)

The law of sines gives the length of the line p, from point 11 to point 14

The coordinates of point 14 are

The direction cosines of line y are cos ay =

The tool face rotation angle y which is the angle between the z and y is y = acos( cos a cos a. + cos B cos B. + cos y cos 7. )

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Homeowners Guide To Landscaping

Homeowners Guide To Landscaping

How would you like to save a ton of money and increase the value of your home by as much as thirty percent! If your homes landscape is designed properly it will be a source of enjoyment for your entire family, it will enhance your community and add to the resale value of your property. Landscape design involves much more than placing trees, shrubs and other plants on the property. It is an art which deals with conscious arrangement or organization of outdoor space for human satisfaction and enjoyment.

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