This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1909 edition. Excerpt: ...Ix + my + nz--(Lx1 + my1 + nzj = 0. (3) Since equation (3) is in normal form, it is evident that the distance of this plane from the origin is lxx + my1+ nzv Hence the distance between the two parallel planes is in magnitude lx1 + myx + nzx--p, (4) this result being positive if the plane through J is ...
Read More
This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1909 edition. Excerpt: ...Ix + my + nz--(Lx1 + my1 + nzj = 0. (3) Since equation (3) is in normal form, it is evident that the distance of this plane from the origin is lxx + my1+ nzv Hence the distance between the two parallel planes is in magnitude lx1 + myx + nzx--p, (4) this result being positive if the plane through J is beyond plane (1) from the origin, and negative if the plane through I is on the same side of plane (1) as the origin. But the distance between the two planes is the same as the distance of from the given plane. Hence lx1 + myx + nzx--p is the required distance in magnitude. If the equation of the plane is in the form Ax + By + Cz+D= 0, finding the values of I, m, n, and p, and substituting in (4), we have Axx + By1+ Cz + D /A + B+ C2 as the magnitude of the required distance, being positive for all points on one side of the plane and negative for all points on the other side. If we choose, we may take the sign of the radical always positive, in which case we can determine for which side of the plane the above result is positive by testing for some one point, preferably the origin. Ex. 2. Find the distance of the point (1, 2, 1) from the plane 2 x--3 y + 6 z + 14 = 0. The required distance is 2(1)-8(2)+ 6(1)+ 14-7 7' Furthermore the point is on the same side of the plane as the origin, for if (0, 0, 0) had been substituted, the result would have been 2, i.e. of same sign as 2f. 3. Plane through a given line and subject to one other condition. Let the given line be Axx + Bxy + Cxz + D, = 0, (1) Ajs + B# + Cf + 1, = 0. (2) Multiplying the left-hand members of (1) and (2) by kx and k2 respectively, where kx and k2 are any two quantities independent of x, y, and z, and placing the-sum of these products equal to zero, we have the equation (A, x + Bxy...
Read Less
Add this copy of A Course in Mathematics, for Students of Engineering to cart. $27.75, new condition, Sold by Books2anywhere rated 5.0 out of 5 stars, ships from Fairford, GLOUCESTERSHIRE, UNITED KINGDOM, published 2022 by LEGARE STREET PR.
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
PLEASE NOTE, WE DO NOT SHIP TO DENMARK. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Please note we cannot offer an expedited shipping service from the UK.
Add this copy of A Course in Mathematics, for Students of Engineering to cart. $28.85, new condition, Sold by Paperbackshop International rated 2.0 out of 5 stars, ships from Fairford, GLOS, UNITED KINGDOM, published 2022 by LEGARE STREET PR.
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
PLEASE NOTE, WE DO NOT SHIP TO DENMARK. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Please note we cannot offer an expedited shipping service from the UK.
Add this copy of A Course in Mathematics, for Students of Engineering to cart. $31.29, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2022 by Legare Street Press.
Add this copy of A Course in Mathematics, for Students of Engineering to cart. $38.34, new condition, Sold by Books2anywhere rated 5.0 out of 5 stars, ships from Fairford, GLOUCESTERSHIRE, UNITED KINGDOM, published 2022 by LEGARE STREET PR.
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
PLEASE NOTE, WE DO NOT SHIP TO DENMARK. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Please note we cannot offer an expedited shipping service from the UK.
Add this copy of A Course in Mathematics, for Students of Engineering to cart. $39.84, new condition, Sold by Paperbackshop International rated 2.0 out of 5 stars, ships from Fairford, GLOS, UNITED KINGDOM, published 2022 by LEGARE STREET PR.
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
PLEASE NOTE, WE DO NOT SHIP TO DENMARK. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Please note we cannot offer an expedited shipping service from the UK.
Add this copy of A Course in Mathematics, for Students of Engineering to cart. $42.45, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2022 by Legare Street Press.
Add this copy of A Course in Mathematics, for Students of Engineering to cart. $45.39, new condition, Sold by Booksplease rated 4.0 out of 5 stars, ships from Southport, MERSEYSIDE, UNITED KINGDOM, published 2022 by Legare Street Press.
