Just to clarify: what does "reserve slope tactics" mean in this context?
Deploying your line of battle slightly behind the military crest, such that the infantry can see and shoot over the crest while receiving partial cover against enemy fire?
Or hiding your forces on the reverse slope, entirely out of sight, to deceive the enemy about your numbers?
In the Napoleonic wars, Wellington would mask his strength by placing a large reserve on the reverse of the slopes. For example, when the French attacked, say in columns of attack, (sometimes very large) they wouldn't know exactly when to deploy into line of battle, and the troops on the reverse slope would counterattack or open fire into them and break them up before they could do so...
It was generally understood troops in column of attack could not deploy into line simultaneous to being raked with fire without confusion.
Forming reserves, composed even of much of one's strength, on the reverse slope, was something of a means of ambushing attacking columns advancing onto the summit from the forward slopes.
Perfected in the Spanish campaigns by Wellington, and employed at Waterloo... Sir John William Fortescue, put it simply...
The Battle of Busaco, Portugal in 1810 was a case in point...
Pickett's charge at Gettysburg was similar. The Union infantry, largely on the reverse slope of Cemetery Ridge, fired in onto the head of the massive assault column as it came over the angle and copse of trees, and once recoiled counterattacked...
Regarding the "military crest" etc. this regarded defensive lines on a piece of high ground relative to their fire. The "military crest" so-called, being a point on the "forward slope" (rather than the reverse slope on the other side of the summit) where their fire could potentially sweep the foot of the forward slope, without allowing too much of a "defilade" to the enemy to form/reform in relative safety preparatory to a final assault.
From 1914:
Pickett's charge was preceded by a heavy artillery fire upon the forward slopes and summit of Cemetery Ridge, and advanced behind a strong line of skirmishers, clearing some of the Union artillery and skirmishers, etc., from the "military crest" or forward slopes of cemetery ridge so that the advancing forces were able to find defilade in front of the angle and copse of trees to form into the massive assault column to advance over the summit...
When Webb says "several lines of battle" this is described by others as a large "column of regiments"... as illustrated by Col. Hall's map of the attack (the large formation into column of regiments "many ranks deep" highlighted)...
But they met Meade's infantry formed on the reverse slope... which lines closed upon the head and flanks of the massive attack column... and repulsed it with fire and counterattack.
At Missionary ridge, the Confederate rifle pits with skirmishers were at the foot of the ridge, and the main lines on the natural rather than the military crest... which allowed the Union attack to close upon them boldly with comparatively few casualties, and rush over them...
But Bragg had no large reserve on the reverse slope (being stretched thin) so Bragg relied wholly upon holding the summit...
...but once the Union army reached the summit through Bragg's broken lines, they found only his flying forces down and off the ridge.