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3.

The third Find an arc e, so that
angle. rad Xcos given side

=cotx ; and
cot one of the given angles
let y=difference between x and the other given angle,

cos first angle X sin y then will

cos angle sought. sin :

Two angles and the side between

them.

4. One of the Find an arc x, so that
other sides. tad Xcos given side

=cot x; and
cot angle opposite side sought
let y=difference between x and the other given angle,

cos x Xtan given side then will

=lan side sought.

cos y

5. The angle

opposite to sin side op. to ang. soughtXsin giv, ang:=sin ang. sought the other gi- sin side opposite to given angle

Two sides and an angle opposite to one of them.

ven side.

=cot x ;

given sides.

6. The angle Find an arc x, so that

included be-radXcos side adjacent to given angle
tween the

cot given angle
and another y, so that
tan same side Xcos x

=cos y i
tan other side

then will x+y=angle sought.
7. The third Find an arc X, so that
side.

rad Xcos given angle
cot given side adjacent given angle

and another y, so that
cos side opposite given angle Xcos x

=cos y ;
cos other given side

then will x+y=side sought.
8.

The side op-
posite to the sin ang. op. to side soughtxsin giv. side

=sin side sought.
other given sin angle opposite to given side
angle.

tan I;

=tan I;

Two angles and a side opposite to one of them.

=sin y;

9. The side ad- Find an arc x, so that

jacent to the rad Xcos given angle adjacent to given side
two given

cot given side
angles. and another y, so that

tan same angle X sin x

tan other angle

then will x+y=side sought.
10. The third Find an arc x, so that
angle. radXcos given side

=cot x;
cot angle adjacent to it

and another y, so that
cos angle opposite to given side X sin x

cos other given angle
then will x+y=angle sought.

sin y;

James Walker, Printer, 6. James's Court, Lawnmarket,

Edinburgh.

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