Factory Cut and Re-bored Barrels

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Originally Posted by Dean Romig

I believe it would be a compound curved transition, which a true ‘ogee’ is, not simply a curved transition.


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You are correct about the ogee. That is the difference between an ogee and an ogive. An ogee is a specific form which resembles an ogive. It is limited to curves that are sections of circles. I believe the curves are complex functions which can always be defined by second order equations. That is the reason it is so critical in woodworking, in that it meshes in reverse for so many types of joints such as drop leaf tables and door stiles and rails. Ogive is a term used in archetecture and statistics;the ogive greek arch is named that because it resembles an ogee but is formed by any curve, not just one formed by two circular sections. The statistical graph of a cumulative distribution function was named after the ogive (not ogee) arch for the same reason.

As your definition shows, a tangent ogee (or ogive) has the curved section joined to the straight section at only one point which forms a tangent. A secant ogive is formed by the secant of a curve where the secant line crosses the curve at two points. The secant of a circle is can be either a chord or diameter. The simplest comparison of the two would be drawing a circle with a tangent and a secant. The tangent line touches the circle at a single point. The secant line intersects the circle at two points. These can all be defined by second order equations.

With a tangent ogive design the front and back of the bullet can have any curved shape transition, with the front or back being iindependent. With a secant ogive, the front and back of the bullet would have a curved transition at both ends, but they must be formed by the same continuous function.

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I always laughed at all the hooplah that was generated by the term at the time because it really tells you nothing specific about the bullet except it is not a flat base and doesn't have a straight taper boattail. Past that, any bullet with curved transitions to the front and back taper is a secant ogive. This is due to the fact that any curve can be modeled exactly by a power function one order higher than the number of data points plotted. A designer can use a cylindrical bullet center section and then use any tapered nose and tail profile as long as both transitions are a curve, and it is a secant ogive design. From a practical point, a secant ogive bullet is any boattail without a CONICAL boattail.. Tangent ogive bullets include all flatbase designs or those with an angled boattail base. The only ones totally excluded from an ogive design are ones without any curve; these being wadcutters and a few specialty bullets I have seen with conical noses etc.

I always was struck by the power of advertising, no matter if it was informative or not. A major manufacturer got years of intensive word of mouth advertising by curving the transition of the boattail and using a cathcy phrase.