Plane and solid geometry . Given two regular polygons, ABODE and abcde^j of thesame number of sides. To prove polygon ABODE ^ polygon A^B^0^D^E\ Argument1. Let n represent the number of sides ofeach polygon; then each angle ofeach polygon equals (n-2)2rt. A n. the polygons are mutually = BO = CD = - ,4. AB^ = BC^ = OD^ = . .AB BO CD AB 2. 3. 4. 6. BC CD6. /. polygon ABODE ^ polygon abo^de. Reasons1. §217. 2. Arg. 1. 3. §515. 4. § 515. 6. § 54, 8 a. 6. §419. Ex. 996. Two homologous sides of two regular pentagons are 3Inches and 5 inches, respectively ; what is the ratio o
Plane and solid geometry . Given two regular polygons, ABODE and abcde^j of thesame number of sides. To prove polygon ABODE ^ polygon A^B^0^D^E\ Argument1. Let n represent the number of sides ofeach polygon; then each angle ofeach polygon equals (n-2)2rt. A n. the polygons are mutually = BO = CD = - ,4. AB^ = BC^ = OD^ = . .AB BO CD AB 2. 3. 4. 6. BC CD6. /. polygon ABODE ^ polygon abo^de. Reasons1. §217. 2. Arg. 1. 3. §515. 4. § 515. 6. § 54, 8 a. 6. §419. Ex. 996. Two homologous sides of two regular pentagons are 3Inches and 5 inches, respectively ; what is the ratio of their perimeters ?of their areas ? Ex. 997. The perimeters of two regular hexagons are 30 inches and72 inches, respectively ; what is the ratio of their areas ? 15UUK V 2bI Proposition VIII. Theorem 538. The perimeters of two regular polygons of thesame number of sides are to each other as tJieir radii oras tlveir
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Keywords: ., bookcentury1900, bookdecade1910, booksubjectgeometr, bookyear1912
