A Treatise On the Principal Mathematical Instruments Employed in Surveying Leve
A Treatise On the Principal Mathematical Instruments Employed in Surveying Leve
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To quickly assess the difficulty of the text, read a short excerpt:
118 APPENDIX.
Next set the compasses to the natural sine of 15, which, to radius five, will be equal to the chord of 30, and this distance will bisect each 60 and divide the circle into arcs of 30 each. A proof may be obtained of the accuracy of the work as it proceeds, by setting the succeeding chords oft* each way, from those points which they are intended to bisect ; for if any inac- curacy exist, the bisection will not be perfect, and if the error prove inconsiderable, the middle point may ...be assumed as correct.
Each sixty degrees may next be trisected, by setting off the natural sine of 10 (equal the chord of 20 to our radius), which will divide the circle to every ten degrees.
Next, the natural sine of 7 30 7 (equal the chord of 15), stepped from the points already determined, will divide the circle to every fifth degree.
The natural sine of 3 (equal the chord of 6), being laid off, divides 30 into five parts, and, set off from the other divisions, divides the circle to single degrees.
What to read after A Treatise On the Principal Mathematical Instruments Employed in Surveying Leve?
You can find similar books in the "Read Also" column, or choose other free books by Frederick Walter Simms to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
118 APPENDIX.
Next set the compasses to the natural sine of 15, which, to radius five, will be equal to the chord of 30, and this distance will bisect each 60 and divide the circle into arcs of 30 each. A proof may be obtained of the accuracy of the work as it proceeds, by setting the succeeding chords oft* each way, from those points which they are intended to bisect ; for if any inac- curacy exist, the bisection will not be perfect, and if the error prove inconsiderable, the middle point may ...be assumed as correct.
Each sixty degrees may next be trisected, by setting off the natural sine of 10 (equal the chord of 20 to our radius), which will divide the circle to every ten degrees.
Next, the natural sine of 7 30 7 (equal the chord of 15), stepped from the points already determined, will divide the circle to every fifth degree.
The natural sine of 3 (equal the chord of 6), being laid off, divides 30 into five parts, and, set off from the other divisions, divides the circle to single degrees.
What to read after A Treatise On the Principal Mathematical Instruments Employed in Surveying Leve?
You can find similar books in the "Read Also" column, or choose other free books by Frederick Walter Simms to read onlineMoreLess
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