Update manifest.json

Author: Gmac4247

manifest.json

@@ -44,37 +44,33 @@
 
 	{
     "name": "circleArea",
-    "description": "Exact area of a circle = 3.2 × radius^2, derived from direct circle to square comparison",
     "disambiguatingDescription": "The conventional formula is based on the conventional circumference approximation.",
-    "abstract": "Divide the circle into four quadrants and place them on the vertices of a square. The arcs of inscribed and circumscribed circles define upper and lower bounds. The true equiareal circle lies between these limits. A right triangle formed from half and quarter segments of the square side yields the radius–side ratio. radius²=(side/4)^2 + (side/2)^2; radius=side × 5^(1/2) / 4",
+    "description": "Divide the circle into four quadrants and place them on the vertices of a square. The arcs of inscribed and circumscribed circles define upper and lower bounds. The true equiareal circle lies between these limits. A right triangle formed from half and quarter segments of the square side yields the radius–side ratio. radius²=(side/4)^2 + (side/2)^2; radius=side × 5^(1/2) / 4",
 	"inDefinedTermSet": "Core Geometric System ™",
 	"id": "/#circle"
   },
 
     {
     "name": "circumference",
-    "description": "Exact circumference = 6.4 × radius, derived from the exact area of a circle by subtracting a circle from a larger one and dividing the difference by the theoretical width of the circumference.",
     "disambiguatingDescription": "The pi~3.14 approximate is based on a flawed polygon approximation.",
-    "abstract": "The circumference is derived algebraically by subtracting a smaller circle from a larger one and dividing the area difference by the difference of their radii. Let x be the theoretical width of the circumference. The ring formed by radii r and r−x approximates a quadrilateral whose long sides equal the ring area divided by x.",
+    "description": "The circumference is derived algebraically by subtracting a smaller circle from a larger one and dividing the area difference by the difference of their radii. Let x be the theoretical width of the circumference. The ring formed by radii r and r−x approximates a quadrilateral whose long sides equal the ring area divided by x.",
 	"inDefinedTermSet": "Core Geometric System ™",
 	"usageInfo": "Since the true ratio is exactly 3.2 diameter, and that is a rational number, we write it as it is. That makes the arc value of 360° = 6.4radian.",
 	"id": "/#circumference"
   },
 
 	{
     "name": "sphereVolume",
-    "description": "Exact volume of a sphere = (4×radius/5^(1/2))^3.",
-    "disambiguatingDescription": "The V = 4 / 3 × pi × radius³ formula is a result of a very rough underestimate, approximated by comparing a hemisphere to the difference between the approximate volume a cone and a circumscribed cylinder, discarding the difference between the straight slant height of a cone and the curvature of a sphere.",
-	"abstract": "The volume of a sphere equals the cubic value of the square root of its cross-sectional area, just like a cube.",
+	"disambiguatingDescription": "The V = 4 / 3 × pi × radius³ formula is a result of a very rough underestimate, approximated by comparing a hemisphere to the difference between the approximate volume a cone and a circumscribed cylinder, discarding the difference between the straight slant height of a cone and the curvature of a sphere.",
+	"description": "The volume of a sphere equals the cubic value of the square root of its cross-sectional area, just like a cube.",
 	"inDefinedTermSet": "Core Geometric System ™",
 	"id": "/#sphere"
   },
 
 {
     "name": "coneVolume",
-    "description": "Exact volume of a cone = 3.2 × radius^2 × height / 8^(1/2)",
     "disambiguatingDescription": "Each vertex of a real physical cube is a point that can't be split into 3 points without duplicating. The other way around, 3 vertices of the pyramids can't be merged into 1 without distortion. Thus, the V = base × height / 3 formulas for a pyramid or a cone are invalid.",
-	"abstract": "The volume of a cone can be calculated by algebraically comparing the volume of a vertical quadrant of a cone with equal radius and height to an octant sphere with equal radius, through a quadrant cylinder.",
+	"description": "The volume of a cone can be calculated by algebraically comparing the volume of a vertical quadrant of a cone with equal radius and height to an octant sphere with equal radius, through a quadrant cylinder.",
 	"inDefinedTermSet": "Core Geometric System ™",
 	"id": "/#cone"
   }