## Geometry: Plane Trigonometry. Chain Surveying. Compass Surveying. Transit SurveyingInternational Textbook Company, 1906 - Building |

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### Common terms and phrases

algebraic altitude angle whose logarithmic Applying formula axis azimuth b₁ b₂ base called chain clamp column marked corner correction Cosine Sine Cosine Cotang Tang Cotang course determined diameter difference direction distance divided double longitude equal equation error of closure EXAMPLES FOR PRACTICE exterior angle feet Find the angle formula of Art given graduated circle Gunter's chain head chainman horizontally opposite hypotenuse inches instrument intersection latitude range length line of sight logarithmic sine longitude range magnetic bearing measured meridian minutes minutes of arc needle parallel perpendicular plane plat plate plumb-bob Polaris pole polygon position reading reference meridian regular polygon right angles right triangle scale sidereal day Sine Cosine Sine straight line subtracted Tang Cotang Tang tangent telescope transit TRANSIT SURVEYING trapezoid trigonometric functions Trigonometry true bearing vernier vertex vertical zero

### Popular passages

Page 47 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.

Page 27 - A Circle is a plane figure bounded by a curved line every point of which is equally distant from a point within called the center.

Page 23 - The straight line joining the middle points of two sides of a triangle is parallel to the third side, and equal to half of it.

Page 14 - In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides, minus twice the product of one of these sides and the projection of the other side upon it.

Page 14 - The sum of any two sides of a triangle is to their difference, as the tangent of half the sum of the angles opposite to those sides, to the tangent of half their difference.

Page 20 - ... towards the end of the table which increase by 10 units at a time, all interpolation is avoided, as with a glance at the table we can at once take out the required S or T. TABLE III. This table contains for every ten seconds of the quadrant the logarithms of the sines, cosines, tangents, and cotangents.

Page 17 - If two triangles have two sides of the one equal to two sides of the other...

Page 3 - ... in a direction opposite to that in which the hands of a clock move, and...

Page 13 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.

Page 16 - RULE. — From half the sum of the three sides subtract each side separately ; multiply the half -sum and the three remainders together ; the square root of the product is the area.