CM: ... the 4th Dynasty builders took pains to ensure that major parts of the pyramid complexes would align. (Complete Pyramids, pg 106)
Surely the inevitable conclusion, therefore, is that geometric relationships between the pyramids, far from being coincidental, would themselves be inevitable.
SC: Lehner merely observed the 'Lehner-Goedeke Line' whereby the Giza monuments (G1, G3 and G1a and G3a) are geometrically connected along this line. G2 stands slightly off this line. Lehner did not, however, recognise the inter-quarter geometric relationships between the structutres I am presenting and discussing in this thread.
Sure you can get monuments to align along a line - that's easy and that is all Lehner noticed. See the images below - they are all geometric shapes (G1, G2 and G3 rearranged) aligned along a line. But look at the inter-quarter relationships between these geometric shapes - they are not even close to what we find at Giza.
What we find at Giza, however, is that the inter-quarter lines between the Giza structures have a clear and unmistakable relationship.
Keep in mind that G1 to G3 are separated by about 1 kilometre distance. If just one of these structures (image 3 above) were a slightly different size or in a slightly different location, then the inter-quarter relationship between the structures completely breaks down as observed in images 1 & 2 above (even though we might still be able to place them along a particular line).
So yes - any objects can be shown to have their corners aligned but it is highly remote that the inter-quarter lines of those objects will show a clear relationship.
That G1 and G3 inter-quarter lines show this clear geometric relationship (and G2 also slots into this relationship when centred on the middle Belt star - G2's stellar counterpart), is highly indicative of a common, underlying design feature. What is quite remarkable is that we can - using the Orion Belt stars - and a simple geometric technique, emulate to a high degree of accuracy these inter-quarter lines of G1 and G3 (and G2 when centered on the middle Belt star). You can see this here.
Using the GSF technique with the Orion Belt stars, we can create three bases whose relative proportions match the Giza pyramids to a high degree of accuracy. We can match the inter-quarter lines. We can re-create the Lehner-Goedek line. We can explain why G3 has a slight rectangle shape. All in all, the GSF presents a highly compelling case of preconveived planning at Giza.