A new and original treatise on the geometrical development of round and oval cones, with easy examples of their application : for the use of beginners and practical sheet iron and tin plate workers by Fuller John b. 1833

Author:Fuller, John, b. 1833
Language: eng
Format: epub, pdf
Tags: Sheet-metal, Geometry, Descriptive
Publisher: New York : D. Williams
Published: 1904-03-25T05:00:00+00:00

3.1416) = 5.2652, the transverse axis, and 5.2652 X .6323 = 3.3291, the conjugate axis. The proof is S.26S2 4- 3.3291 . 13.5

2 y/ 3.1416 ^ 7/

To Construct Oval Cones.

Now to show the application of the five fashions as given for round cones, in the development of oval cones, some of which examples must at some time present themselves to the active workman in his daily experience.

EXTINGUISHER FASHION.

Let it be required to make a cone extinguisher fashion, the base of which is an oval formed as in Fig. 28. First draw the oval as directed in Fig. 25, and let its transverse or longest diameter be 6 inches; then the diameter of the circle A F will be 4 inches, and by the

4X3 rule give for extinguisher fashion — = 12, or the

radius of a circle one-sixth of which would make a cone extinguisher fashion, whose diameter at the base will be 4 inches. But it will be seen that the oval is made up of six parts of circles, the radius of the middle or two side parts being twice the length of the radius of the four parts forming the two ends, and we want in constructing this elliptic cone six sectors arranged side by side whose radii are six times longer than those of which the oval in Fig. 28 is composed, but having their arcs equal in length to those of the oval, and equal when taken together to its circumference. Now construct the oval, Fig. 28, and with a radius three times

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