The tutor's assistant ; being a compendium of practical arithmetic, for the use of schools or private students ..from the 43d Derby edrevcorand enlby the addition of superficial mensuration, and a compendium of book-keeping by single entry ; . _ ,^^^ ^.^^ ^^ ^^ ^ ^^ ^ ^^r^_ 2. The circnmfer. X-2820MiS?> ^ 3. The diameter X 7071068 ) 4. The cirrumfer. X-22507^1 >==- the f-ide nf the ineciibed ). The X-6366197 ) ASSISTANT.] MLNSU RATION OF SLPKPvFIClES. 1^9. Problem 9. To Jind the length of a Circular Arc. Rule I. From 8 times tlie Fi. )rd of half tho arc subtrac
The tutor's assistant ; being a compendium of practical arithmetic, for the use of schools or private students ..from the 43d Derby edrevcorand enlby the addition of superficial mensuration, and a compendium of book-keeping by single entry ; . _ ,^^^ ^.^^ ^^ ^^ ^ ^^ ^ ^^r^_ 2. The circnmfer. X-2820MiS?> ^ 3. The diameter X 7071068 ) 4. The cirrumfer. X-22507^1 >==- the f-ide nf the ineciibed ). The X-6366197 ) ASSISTANT.] MLNSU RATION OF SLPKPvFIClES. 1^9. Problem 9. To Jind the length of a Circular Arc. Rule I. From 8 times tlie Fi. )rd of half tho arc subtracttbf chord of tlie whole arc,aiid J of the difference willbe the leugth of the arc,nearly. That is AD X 8 — AB -f-3 = arc ADB. Note. Half the chord of the wbolfe arc, the chord of half the ar5iand the versed sine, are sides of a Hirht angled ; any two vlwhich Ijeing given, the third may be found as directed in page 115. Rule 2. Multiply the number of dep-ees in the arc by the radiiisjand the product by -01745, fur the length of the arc. (1) The chord of the whole arc is 30, and the versed sin(i8 : what is the length of the arc ? (2) What is the length of the arc when the chord of th«half arc is 10 625, and its versed sine 5 ? (3) Required the length of an arc of 12^ 10, the radii)^being 10 fe^t. Problem 10. To fnd the area of a Sector of a circUi Fig. 9. c Rule 1. Multiply the len^rth ofthe arc by the radius, and half theproduct will be the aiea. Rule 2. SfiO
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Keywords: ., bookcentury1800, bookdecade1840, booksubjectarithmetic, bookyear1
