24
PROBLÈMES.
Log. des
et
des Long. de la terre, vue du soleil ;
![{\displaystyle {\begin{array}{llll}\operatorname {Log} .\operatorname {Sin} .\theta &=9,90777605,&\operatorname {Log} .\operatorname {Cos} .\theta &=9,7804949,\\\operatorname {Log} .\operatorname {Sin} .\theta '&=9,9281887,&\operatorname {Log} .\operatorname {Cos} .\theta '&=9,7248022,\\\operatorname {Log} .\operatorname {Sin} .\theta ''&=9,9537546;&\operatorname {Log} .\operatorname {Cos} .\theta ''&=9,6414446.\\\end{array}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/29044b3321ee757f8168fb14c30fc500810582a0)
Log. des trois différences Ang.
et de leur
![{\displaystyle {\begin{array}{llll}\operatorname {Log} .t&=8,9455031,&\operatorname {Log} .\operatorname {Sin} .t&=8,9449397,\\\operatorname {Log} .t'&=9,0253840,&\operatorname {Log} .\operatorname {Sin} .t'&=9,0245700,\\\operatorname {Log} .h&=9,2883075;&\operatorname {Log} .\operatorname {Sin} .h&=9,2855735.\\\end{array}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/7cfb5ac0a76b02452a1fc8cfe7afc6cd04db443a)
Il en résulte
![{\displaystyle {\begin{aligned}h\operatorname {Sin} .t\,-t\ \,\operatorname {Sin} .h=&0,0000853,\\h\operatorname {Sin} .t'-t'\operatorname {Sin} .h=&0,0000907;\\\end{aligned}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/a431efe7654fe65b33bb8cc8c05e948869940bce)
On peut donc regarder ces deux différences comme évanouissantes,
Log. des
des trois Lat. Géoc.
et des prod.
![{\displaystyle \operatorname {Sin} .(\theta -A)\operatorname {Cot} .B,\ldots }](https://wikimedia.org/api/rest_v1/media/math/render/svg/347c7b87520751c2561869975976f74f92d927e9)
;
![{\displaystyle {\begin{array}{ll}\operatorname {Log} .\operatorname {Cot} .B\ \,=9,8406070,&\operatorname {Log} .\operatorname {Sin} .(\theta \ \,-A\ \,)\operatorname {Cot} .B\ \ =9,8241976,\\\operatorname {Log} .\operatorname {Cot} .B'\,=0,0878113,&\operatorname {Log} .\operatorname {Sin} .(\theta '\,-A'\,)\operatorname {Cot} .B'\,=0,0576892,\\\operatorname {Log} .\operatorname {Cot} .B''=0,2389351,&\operatorname {Log} .\operatorname {Sin} .(\theta ''-A'')\operatorname {Cot} .B''=0,1875247.\\\end{array}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/dd2d6db7b96a97922a4b5ef66d89e51ccdf57828)
Log. des prod. désignés par
; (90)
![{\displaystyle {\begin{array}{llll}\operatorname {Log} .a&=9,6225319,&\operatorname {Log} .a'&=9,7415452,\\\operatorname {Log} .b&=9,8658345,&\operatorname {Log} .b'&=9,9909733,\\\operatorname {Log} .c&=0,0152990;&\operatorname {Log} .c'&=9,1430240.\\\end{array}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/748f5c0e714a8d605fc7e0a14cfbefa426b450a8)
Les produits
sont négatifs.
Valeurs des quantités
et de leurs logarithmes.
![{\displaystyle {\begin{array}{llll}m&=-0,3454160,&m'&=-0,3349471,\\n&=-0,6285206,&n'&=-0,6368338,\\o&=-0,2786088,&o'&=-0,3170086.\\\end{array}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/978d3f82133f9431007521b0f4bec83ec36709fc)