*SUMMARY**It is possible to determine mathematically where the minor ramp to the Yesod branched off from the Main Ramp based on the dimensions of the Altar.*

Two minor ramps branched off of the Altar's Main Ramp, one on the west leading to the

*Yesod*and the other on the east leading to the

*Sovev*.

*Tiferes Yisrael*states that the "two minor ramps branched off near the foot of the Main Ramp, on its lower part" (

*Temple Diagram*§48), which I take to mean that the minor ramps began somewhere on the lower half of the Main Ramp. In this post I attempt to figure out exactly where the ramp to the

*Yesod*began.

The following diagram illustrates the relationship between the Altar, the Main Ramp, and the ramp to the

*Yesod.*The*Yesod*ramp is represented by triangle XYZ and the Main Ramp by triangle ABC.
From the drawing we begin with:

This will ultimately take the form of a quadratic equation and can be rewritten as:

Since the ramp to the

*Yesod*is assumed to conform to the Temple standard of 1

*amah*of height for every 3

*amos*of length, we can say that

*c*= 3

*d*such that:

From the diagram it is also true that triangle ABC is similar to triangle AYZ. Let side AB have the length

*l*such that:

Substituting this result into the quadratic equation above yields:

The length of segment AD is known to be 30

*amos*, thus

*a*= 30-

*e*

This can be written out as:

The following known values may now be substituted:

*f*= 9

*amos*(height of the Main Ramp)

*l*= 32

*amos*(length of the Main Ramp)

*b*= 7

*amos*(distance from the corner of the

*Yesod*to the Main Ramp)

which reduces the equation to the form:

Solving this quadratic equation for

*e*will yield the distance from the foot of the Main Ramp that the ramp to the*Yesod*began. See what solution you come up with and check back next week to see how it compares to my answer and find out whether or not*Tiferes Yisrael's*contention that the*Yesod*ramp branched off on the lower half of the Main Ramp is supported by the math.
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