## ELEMENTS OF PLANE AND SPHERICAL TRIGONOMETRY |

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added altitude angle base bearing bottom called circle Co-tangent column complement computed correction corresponding cosine course cubic decimal Degrees departure determine diameter diff difference difference of latitude direction distance divided draw drawn earth east equal equator example feet field figure four give given greater ground half height Hence horizontal hypothenuse inches latitude length less logarithm longitude manner means measured meridian method middle miles minutes Multiply natural object observed obtain opposite parallel perpendicular places plane pole position preceding Prob PROBLEM Prop proportional quadrant radius remaining represent Required RULE sailing scale secant seconds ship side sine solidity spherical triangle square station subtract surface survey tang Tangent Theorem third triangle ABC vertical yards

### Popular passages

Page 20 - The circumference of every circle is supposed to be divided into 360 equal parts, • called degrees, each degree into 60 minutes, and each minute into 60 seconds, etc.

Page 163 - In any spherical triangle, the sines of the sides are proportional to the sines of the opposite angles. In the case of right-angled spherical triangles, this proposition has already been demonstrated.

Page 69 - FIND the area of the sector having the same arc with the segment, by the last problem. Find also the area of the triangle, formed by the chord of the segment and the two radii of the sector.

Page 54 - C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.

Page 69 - TO THE NUMBER OF DEGREES IN THE ARC ; So IS THE AREA OF THE CIRCLE, TO THE AREA OF THE SECTOR.

Page 73 - To find the solidity of a pyramid. RULE. Multiply the area of the base by one third of the altitude.

Page vi - The characteristic of the logarithm of ANY NUMBER GREATER THAN UNITY, is one less than the number of integral figures in the given number.

Page 184 - If a heavy sphere, whose diameter is 4 inches, be let fall into a conical glass, full of water, whose diameter is 5, and altitude 6 inches ; it is required to determine how much water will run over ? AHS.