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Two angles and a side opposite to one of them.

4.

5.

6.

7.

Sought.

The third
angle.

10.

One of the

other sides.

The side.

The angle

opposite to sin side op. to ang. soughtsin giv. ang.—sin ang. sought
the other gi- sin side opposite to given angle
ven side.

The angle
included be-radXcos
tween the
given sides.

third

cot x; and

Find an arc x, so that radXcos given side cot one of the given angles let y=difference between r and the other given angle, cos first anglesin y

then will

cos angle sought.

sin x

cot x; and

Find an arc x, so that radXcos given side cot angle opposite side sought let y=difference between x and the other given angle, cos xXtan given side then willan side sought. cos y

The third
angle.

Rule.

Find an arc x, so that

side adjacent to given angle =cot x;

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

cos y;
tan other side
then will x+y=angle sought.

8. The side op

posite to the sin ang. op. to side soughtɣsin giv. side
other given
gle opposite to given side
angle.

sin

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Find an arc x, so that
radXcos given angle

cot given side adjacent given angle
and another y, so that

cos side opposite given angle X cos x
cos other given side

then will x+y=side sought.

9. The side ad

Find an arc x, so that
jacent to the radXcos given angle adjacent to given side
two given
angles.

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

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cos other given angle

then will r+y=angle sought.

tan x;

cos y ;

sin side sought.

=tan x;

sin y;

James Walker, Printer,

6. James's Court, Lawnmarket,

Edinburgh.

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