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By making the Hypothenuse Radius, it will be,

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BY GUNTER.

Extend from 56° 45', to 33° 15' on the line of sines; that extent will reach from 274, the base, to 179.6, the perpendicular, on the line of numbers. Again;

Extend from 56° 45', to radius 90°, on the line of sines; that extent will reach from 274, the base, to 327.6, the hypothenuse, on the line of numbers.

CASE & 5.

The Hypothenuse, and one Leg given, to find the Angles, and other Leg.

Given the perpendicular, 69 chains or perches; the hypothenuse 150, to find the angles and base.

For the construction, see problem 12, in Geometry.

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By making the Hypothenuse Radius, it will be,

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By making the Perpendicular Radius, it will be,

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Extend from 150, the hypothenuse, to 69, the perpendicular, on the line of numbers; that extent will reach from radius 90°, to 27° 23', angle C, on the line of sines.

Extend from radius, 90°, to 62° 37', angle A, on the line of sines; that extent will reach from 150, the hypothenuse, to 133.2, the base, on the line of numbers.

CASE 6 & 7.

The Legs given, to find the Angles and Hypothenuse.

Given the perpendicular, 980 perches; the base 690, to find the angles and hypothenuse.

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By making the Base Radius, it will be,

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