Two Right Angles are Not the Same; Identity Grounded in Ratios of Change
Posted: Sat Feb 23, 2019 8:14 pm
To clarify this point:
1) Right Angle A and Right Angle B have adjacent and opposite lengths of 1.
2) A and B have an equivalent hypotenuse as the width of the hypotenuse is grounded in the lengths of the hypotenuse which form it.
3) This hypotenuse always exists as infinitely shrinking when directed towards the point forming right angles A and B. The hypotenuse forming the ends of right angle A is always longer than the the hypotenuse composing A when measured at 99/100, to 98/100 to x/y down.
4) A has multiple hypotenuses where its smallest hypotenuse is equivalent to fraction approaching zero. h(a) = (1/x > n) → 0 This number is always finite.
5) Now B, as a right angle is infinitely shrinking. Its adjacent and opposite lengths are composed of length equivalent to the hypotenuse of "a" as
a(b) = ((1/x > n) → 0) x o(b) = ((1/x > n) → 0) thereby observing its hypotenuse as much less than the hypotenuse of a: h(a) ≫ h(b)
6) Now the hypotenuse of A is the lowest finite hypotenuse of all the hypotenuses the exist as elements of A. The hypotenuse of B is the largest finite hypotenuse of all the hypotenuses that exist as elements of B. Because the adjacent and opposite lengths of right angle B are always equivalent to the lowest finite hypotenuse of right angle A, the state of right angle B is in a continual state of change.
7) Because each hypotenuse is divided in accords to the 90 degrees which form the right angle, the smallest hypotenuse of Angle A is composed of the same 90 degree division as that Largest hypotenuse of Angle B, but the hypotenuse of Angle B fits inside that of Angle A thus observing the 90 degrees in B fit in A showing that while both are composed of 90 degrees no set of 90 degrees are the same.
Therefore what determines the identity of the 90 degree angle is not the degrees, as 1 set of degrees fits into another set of degrees, but the linear rate of change;
A = a1 x o1 ∧ h= (1/x > n) → 0
B = a(1/x > n) → 0 x o(1/x > n) → 0 ∧ h(a) ≫ h(b)
Therefore
(∆A(h) ∝ ∆B(a x o)) ∧ (∆B(h) ∝ ∆A(a x o))
9) So while 90=90 as the property of identity, the property of identity is a self-referential rate of change. The fitting of one rate into another necessitates that identity is dependent upon not just an inherent ratio, but this ratio is a form of "recursion" at the replication of one state of linear change in time while a form of isomorphism where each "change" is proportionally symmetrical to another change within a given context.
1) Right Angle A and Right Angle B have adjacent and opposite lengths of 1.
2) A and B have an equivalent hypotenuse as the width of the hypotenuse is grounded in the lengths of the hypotenuse which form it.
3) This hypotenuse always exists as infinitely shrinking when directed towards the point forming right angles A and B. The hypotenuse forming the ends of right angle A is always longer than the the hypotenuse composing A when measured at 99/100, to 98/100 to x/y down.
4) A has multiple hypotenuses where its smallest hypotenuse is equivalent to fraction approaching zero. h(a) = (1/x > n) → 0 This number is always finite.
5) Now B, as a right angle is infinitely shrinking. Its adjacent and opposite lengths are composed of length equivalent to the hypotenuse of "a" as
a(b) = ((1/x > n) → 0) x o(b) = ((1/x > n) → 0) thereby observing its hypotenuse as much less than the hypotenuse of a: h(a) ≫ h(b)
6) Now the hypotenuse of A is the lowest finite hypotenuse of all the hypotenuses the exist as elements of A. The hypotenuse of B is the largest finite hypotenuse of all the hypotenuses that exist as elements of B. Because the adjacent and opposite lengths of right angle B are always equivalent to the lowest finite hypotenuse of right angle A, the state of right angle B is in a continual state of change.
7) Because each hypotenuse is divided in accords to the 90 degrees which form the right angle, the smallest hypotenuse of Angle A is composed of the same 90 degree division as that Largest hypotenuse of Angle B, but the hypotenuse of Angle B fits inside that of Angle A thus observing the 90 degrees in B fit in A showing that while both are composed of 90 degrees no set of 90 degrees are the same.
Therefore what determines the identity of the 90 degree angle is not the degrees, as 1 set of degrees fits into another set of degrees, but the linear rate of change;A = a1 x o1 ∧ h= (1/x > n) → 0
B = a(1/x > n) → 0 x o(1/x > n) → 0 ∧ h(a) ≫ h(b)
Therefore
(∆A(h) ∝ ∆B(a x o)) ∧ (∆B(h) ∝ ∆A(a x o))
9) So while 90=90 as the property of identity, the property of identity is a self-referential rate of change. The fitting of one rate into another necessitates that identity is dependent upon not just an inherent ratio, but this ratio is a form of "recursion" at the replication of one state of linear change in time while a form of isomorphism where each "change" is proportionally symmetrical to another change within a given context.