@@ -507,52 +507,53 @@ <h2 style="font-size:100%">By fundamentally shifting the axioms from the abstrac
507507< br >
508508< br >
509509< br >
510- < h3 > Key Points</ h3 >
510+ < h3 style =" margin:7px; " > Key Points</ h3 >
511511< br >
512512< br >
513- < h4 > Comparative Geometry</ h4 >
514- < p style ="margin:12px; "> Using geometric relationships to derive areas and volumes.
515- </ p >
516- < br >
517- < h4 > Scaling and Proportions</ h4 >
518- < p style ="margin:12px; "> Applying proportional relationships for accurate calculations.
519- </ p >
520- < br >
521- < h4 > Algebraic Manipulation</ h4 >
522- < p style ="margin:12px; "> Simplifying equations to ensure consistency and precision.
523- </ p >
524- < br >
525- < br >
526- < h5 > 1. Area of a Circle</ h5 >
513+ < h4 style ="margin:7px; "> 1. Area of a Circle</ h5 >
527514< br >
528515< p style ="margin:12px; "> Compared to a square, using geometric properties and the Pythagorean theorem.
529516< br >
530517Formula: A = 3.2 × ( square value of the radius ).
531518</ p >
532519< br >
533- < h5 > Circumference of a Circle</ h5 >
520+ < h4 style =" margin:7px; " > 2. Circumference of a Circle</ h5 >
534521< br >
535522< p style ="margin:12px; "> Derived from the area by subtracting a smaller theoretical circle.
536523< br >
537524Formula: C = 6.4 × radius.
538525</ p >
539526< br >
540- < h5 > Volume of a Sphere</ h5 >
527+ < h5 style =" margin:7px; " > 3. Volume of a Sphere</ h5 >
541528< br >
542529< p style ="margin:12px; "> Compared to a cube, using the area of the sphere's cross-section.
543530< br >
544531Formula: V = " cubic value of ( square root ( 3.2 ) × radius ) ".
545532</ p >
546533< br >
547- < h5 > Volume of a Cone</ h5 >
534+ < h5 style =" margin:7px; " > 4. Volume of a Cone</ h5 >
548535< br >
549536< p style ="margin:12px; "> Compared to an octant sphere and a quarter cylinder.
550537< br >
551538Formula: V = 3.2 × ( square value of the radius ) × height, divided by √8 .
552539</ p >
540+ < br >
541+ < br >
542+ < h5 style ="margin:7px; "> Comparative Geometry</ h4 >
543+ < p style ="margin:12px; "> Using geometric relationships to derive areas and volumes.
544+ </ p >
545+ < br >
546+ < h5 style ="margin:7px; "> Scaling and Proportions</ h4 >
547+ < p style ="margin:12px; "> Applying proportional relationships for accurate calculations.
548+ </ p >
549+ < br >
550+ < h5 style ="margin:7px; "> Algebraic Manipulation</ h4 >
551+ < p style ="margin:12px; "> Simplifying equations to ensure consistency and precision.
552+ </ p >
553553</ section >
554554< br >
555555< br >
556+ < br >
556557< section >
557558< h2 style ="margin:7px; "> The Basic Geometry Curriculum</ h2 >
558559< br >
@@ -564,16 +565,16 @@ <h2 style="margin:7px;">The Basic Geometry Curriculum</h2>
564565< br >
565566< br >
566567< br >
567- < h3 > Modules:</ h3 >
568+ < h3 style =" margin:7px; " > Modules:</ h3 >
568569< br >
569570< br >
570571< br >
571572< section >
572573< details >
573- < summary > < h3 > 1. Numbers and numeric systems</ h3 > </ summary >
574+ < summary > < h3 style =" margin:7px; " > 1. Numbers and numeric systems</ h3 > </ summary >
574575< br >
575576< br >
576- < section > < h4 > Numbers</ h4 >
577+ < section > < h4 style =" margin:12px; " > Numbers</ h4 >
577578< br >
578579< table >
579580 < thead >
@@ -614,7 +615,7 @@ <h3>Modules:</h3>
614615< br >
615616< br >
616617< section >
617- < h4 > Numeric systems</ h4 >
618+ < h4 style =" margin:12px; " > Numeric systems</ h4 >
618619< br >
619620< br >
620621Example #1 - The year 2025 in the decimal system with Arab numerals</ p >
@@ -725,11 +726,11 @@ <h4>Numeric systems</h4>
725726< br >
726727< section >
727728< details >
728- < summary > < h3 > 2. Mathematical operations</ h3 > </ summary >
729+ < summary > < h3 style =" margin:7px; " > 2. Mathematical operations</ h3 > </ summary >
729730< br >
730731< br >
731732< section >
732- < h4 > = The equity symbol</ h4 >
733+ < h4 style =" margin:12px; " > = The equity symbol</ h4 >
733734< br >
734735< br >
735736< p style ="margin:12px; "> The numbers or expressions of one side equal in value to the other side.
@@ -745,7 +746,7 @@ <h4>= The equity symbol</h4>
745746< br >
746747< br >
747748< section >
748- < h4 > ➕ Addition</ h4 >
749+ < h4 style =" margin:12px; " > ➕ Addition</ h4 >
749750< br >
750751< br >
751752< p style ="margin:12px; "> Example #1:
@@ -768,7 +769,7 @@ <h4>➕ Addition</h4>
768769< br >
769770< br >
770771< section >
771- < h4 > ➖ Subtraction</ h4 >
772+ < h4 style =" margin:12px; " > ➖ Subtraction</ h4 >
772773< br >
773774< br >
774775< p style ="margin:12px; "> The opposite of addition
@@ -794,7 +795,7 @@ <h4>➖ Subtraction</h4>
794795< br >
795796< br >
796797< section >
797- < h4 > ✖️ Multiplication</ h4 >
798+ < h4 style =" margin:12px; " > ✖️ Multiplication</ h4 >
798799< br >
799800< br >
800801< p style ="margin:12px; "> An advanced form of addition
@@ -825,7 +826,7 @@ <h4>✖️ Multiplication</h4>
825826< br >
826827< br >
827828< section >
828- < h4 > ➗ Division</ h4 >
829+ < h4 style =" margin:12px; " > ➗ Division</ h4 >
829830< br >
830831< br >
831832< p style ="margin:12px; "> An advanced from of subtraction, the logical opposite of multiplication
@@ -857,7 +858,7 @@ <h4>➗ Division</h4>
857858< br >
858859< section >
859860< details >
860- < summary > < h3 > 3. Fractions</ h3 > </ summary >
861+ < summary > < h3 style =" margin:7px; " > 3. Fractions</ h3 > </ summary >
861862< br >
862863< br >
863864< p style ="margin:12px; "> Fractions are results of division, some are non-whole numbers.
@@ -886,13 +887,13 @@ <h4>➗ Division</h4>
886887< br >
887888< br >
888889< section >
889- < p style ="margin:12px; "> < h3 > Operations with fractions</ h3 >
890+ < p style ="margin:12px; "> < h3 style =" margin:7px; " > Operations with fractions</ h3 >
890891< br >
891892< br >
892893< br >
893894< br >
894895< section >
895- < h4 > ➕ Adding fractions</ h4 >
896+ < h4 style =" margin:12px; " > ➕ Adding fractions</ h4 >
896897< br >
897898< br >
898899< p style ="margin:12px; "> Adding the counters if the denominators are the same.
@@ -922,7 +923,7 @@ <h4>➕ Adding fractions</h4>
922923< br >
923924< br >
924925< section >
925- < h4 > ➖ Subtracting fractions</ h4 >
926+ < h4 style =" margin:12px; " > ➖ Subtracting fractions</ h4 >
926927< br >
927928< br >
928929< p style ="margin:12px; "> Subtracting the counters if the denominators are the same.
@@ -952,7 +953,7 @@ <h4>➖ Subtracting fractions</h4>
952953< br >
953954< br >
954955< section >
955- < h4 > ✖️ Multiplying fractions</ h4 >
956+ < h4 style =" margin:12px; " > ✖️ Multiplying fractions</ h4 >
956957< br >
957958< br >
958959< p style ="margin:12px; "> Multiplying counter by counter and denominator by denominator.
@@ -980,7 +981,7 @@ <h4>✖️ Multiplying fractions</h4>
980981< br >
981982< br >
982983< section >
983- < h4 > ➗ Dividing fractions</ h4 >
984+ < h4 style =" margin:12px; " > ➗ Dividing fractions</ h4 >
984985< br >
985986< br >
986987< p style ="margin:12px; "> Dividing by a fraction equals multiplying by its reciprocal.
@@ -1021,7 +1022,7 @@ <h4>➗ Dividing fractions</h4>
10211022< br >
10221023< section >
10231024< details >
1024- < summary > < h3 > 4. Powers</ h3 > </ summary >
1025+ < summary > < h3 style =" margin:7px; " > 4. Powers</ h3 > </ summary >
10251026< br >
10261027< br >
10271028< p style ="margin:12px; "> Raising a number or unit of measurement to a power means multiplying it by itself.
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