Elements of Descriptive Geometry: With Their Application to Spherical ...
Elements of Descriptive Geometry: With Their Application to Spherical ...
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In our eReader you can find the full English version of the book. Read Elements of Descriptive Geometry: With Their Application to Spherical ... Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Elements of Descriptive Geometry: With Their Application to Spherical ...
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If the axes of the surfaces were parallel, their inter- section could be obtained very easily by intersecting them by planes, since planes perpend*i:ular to their axes would intersect Digitized by VjOOQIC 94 DESCRIPTIVE GEOMETRY.
both surfaces in circles, and the intersections of these circles would be points of the curve. The tangent line is drawn in the same manner as when the axes intersect. The construe* tion is left for the student PROBLEM XXXIV.
To find the intersection of a cone and sphe...re, the vertex of the cone being at the centre of the sphere ; and to draw a tangent line to the curve at any point.
§ 142. PI. 17. Fig. 1. Let (C,CO be the verteiof the cone and centre of the sphere, EGII the base of the cone, and the circle described with the centre C, and radius C'A the ver- tical projection of the sphere. The horizontal projection of the sphere, not being required in the construction, is not made.
Through the vertex of the cone let any number of planes be (hawn perpendicular to the horizontal plane ; they will inter- sect the sphere in great circles, arid the cone in right-lined elements ; the points in which the elements intersect the circles are points of the curve.
What to read after Elements of Descriptive Geometry: With Their Application to Spherical ...?
You can find similar books in the "Read Also" column, or choose other free books by Charles Davies to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
If the axes of the surfaces were parallel, their inter- section could be obtained very easily by intersecting them by planes, since planes perpend*i:ular to their axes would intersect Digitized by VjOOQIC 94 DESCRIPTIVE GEOMETRY.
both surfaces in circles, and the intersections of these circles would be points of the curve. The tangent line is drawn in the same manner as when the axes intersect. The construe* tion is left for the student PROBLEM XXXIV.
To find the intersection of a cone and sphe...re, the vertex of the cone being at the centre of the sphere ; and to draw a tangent line to the curve at any point.
§ 142. PI. 17. Fig. 1. Let (C,CO be the verteiof the cone and centre of the sphere, EGII the base of the cone, and the circle described with the centre C, and radius C'A the ver- tical projection of the sphere. The horizontal projection of the sphere, not being required in the construction, is not made.
Through the vertex of the cone let any number of planes be (hawn perpendicular to the horizontal plane ; they will inter- sect the sphere in great circles, arid the cone in right-lined elements ; the points in which the elements intersect the circles are points of the curve.
What to read after Elements of Descriptive Geometry: With Their Application to Spherical ...?
You can find similar books in the "Read Also" column, or choose other free books by Charles Davies to read onlineMoreLess
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