If Leaning-places, or Elbow-places are to be betwixt the _Pedestals_, it's necessary that they be as high as the _Pedestals_, and that the _Cornices_ of the _Pedestals_, and of the Leaning or Elbow-places be equal, and have a true Proportion one to another. [Sidenote: _Lib._ 5. _Chap._ 1.] [Sidenote: _Lib._ 3. _Chap._ 2.] All the Pillars ought to go diminishing towards the top, to augment their Strength, and render them more Beautiful, imitating the Bodies of Trees, which are greater at the Bottom than at the Top. But this _Diminution_ must be lesser in the great Pillars which have their highest part further from the Sight, and which by Consequence makes them at the top seem lesser, according to the ordinary Effect of Perspective; which always diminisheth Objects according to the measure that they are distant from the Eye. The Rule of this different _Diminution_ is, that a Pillar that is 15 Foot high, ought to have in the upper part 5 parts of 6 in the which the Diameter of the _Base_ of the Pillar is divided; that which is from 15 to 20 Foot, ought to have 5 and an half of the 6 and an half of the Diameter; that which is from 20 to 30, ought to have 6 of the 7 parts of the Diameter; that which is from 30 to 40, must have 6 and an half of 7 and an half of the Diameter; that which is from 40 to 50, must have 7 of 8 of the Diameter. These _Diminutions_ do not belong to the _Thuscan Order_, whose Pillars are much more diminished; as we shall show hereafter. [Sidenote: _Lib. 3. Chap. 3._] Besides this _Diminution_ which is made towards the top of the Pillar, there is another below, which makes the Pillar about the middle swell like a Belly; the measure of this swelling is taken from the magnitude which makes up the Distance between the _Channels_. [Sidenote: _Lib. 3. Chap. 2._] There is another sort of _Diminution of Pillars_, which is made of one Pillar in respect of another; It is of 2 sorts, _viz._ when a second rank is placed upon the first, for then the second Pillar must be lesser a fourth part than those below, or when _Portico's_ are made that have Pillars in the Corners, for those in the middle must be less than those in the Corners, a 50th part. [Sidenote: _Lib. 4. Chap. 1._] The _Channellings_ are so called, because they are as it were _Demi-Channels_, which descend from the top of the Pillar to the bottom; they represented the Plaites of the Garments of Women, which the Pillars resembled. [Sidenote: _Lib. 4. Chap. 3._] There are three sorts of _Channellings_, the two first are particular and proper to the _Dorick Order_; the third is common to the _Ionick_, _Corinthian_ and _Compound_: The two first are more plain and simple, and fewer in number than the others. The most Simple is that which is not hollowed at all, and which hath only _Pans_ and flat Fronts or Faces. [Sidenote: _Lib. 3. Chap. 3._]