Plane and solid geometry . BOOK IX 431 Proposition IX. Theorem 941. The sum of any two sides of a spherical triangleis greater than tJie third Given spherical A prove ^^ + ^C > CA. Argument 1. Z AOB + Z BOC > Z COA. 2. Z AOB oc AB, Z BOC^BC, Z COA oc CA. 3. .. AB + BC> CA. Reasons 1. §710. 2. § 940, a. 3. § 362, b. Proposition X. Theorem 942. The sum of the sides of any spherical polygon isless than 360\


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Keywords: ., bookcentury1900, bookdecade1910, booksubjectgeometr, bookyear1912