Geometry: Plane Trigonometry. Chain Surveying. Compass Surveying. Transit SurveyingInternational Textbook Company, 1906 |
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Seite 5
... greater than a right angle . In Fig . 13 , BOC and FIG . 13 AOC are oblique angles , BOC being an acute angle , and AOC an obtuse angle . M + B FIG . 14 22. Two angles are said to be comple- mentary when their sum is equal to one right ...
... greater than a right angle . In Fig . 13 , BOC and FIG . 13 AOC are oblique angles , BOC being an acute angle , and AOC an obtuse angle . M + B FIG . 14 22. Two angles are said to be comple- mentary when their sum is equal to one right ...
Seite 21
... greater which is opposite the greater angle . In the triangle ABC , Fig . 54 , let the angle C be greater than the angle B. Draw CD , making with CB an angle BCD equal to the angle B. Then BCD is an isosceles triangle , and CD = DB ...
... greater which is opposite the greater angle . In the triangle ABC , Fig . 54 , let the angle C be greater than the angle B. Draw CD , making with CB an angle BCD equal to the angle B. Then BCD is an isosceles triangle , and CD = DB ...
Seite 22
... greater than BA . EXAMPLES FOR PRACTICE 1. Show that , if two intersecting lines , as A B and DC , Fig . 57 , bisect each other , the lines AC and DB are parallel . 2. If the value of the unequal or vertical angle of an isosceles tri ...
... greater than BA . EXAMPLES FOR PRACTICE 1. Show that , if two intersecting lines , as A B and DC , Fig . 57 , bisect each other , the lines AC and DB are parallel . 2. If the value of the unequal or vertical angle of an isosceles tri ...
Seite 39
... greater than PQB , and , as PQB FIG . 99 is greater than A P ' B ( since P Q B = A P ' B + QA P ' ) , it follows that APB is greater than A P ' B. In like manner it can be shown that any angle , as A P " B , whose sides pass through A ...
... greater than PQB , and , as PQB FIG . 99 is greater than A P ' B ( since P Q B = A P ' B + QA P ' ) , it follows that APB is greater than A P ' B. In like manner it can be shown that any angle , as A P " B , whose sides pass through A ...
Seite 4
... greater than A E ' , whereas E C is less than E ' C. Therefore , no other line than DE can pass through D and be parallel to B C. EXAMPLE 1. - Find the length of the line AB , Fig . 4 , of which the end B is inaccessible . SOLUTION ...
... greater than A E ' , whereas E C is less than E ' C. Therefore , no other line than DE can pass through D and be parallel to B C. EXAMPLE 1. - Find the length of the line AB , Fig . 4 , of which the end B is inaccessible . SOLUTION ...
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Geometry: Plane Trigonometry. Chain Surveying. Compass Surveying. Transit ... International Correspondence Schools Keine Leseprobe verfügbar - 2018 |
Geometry: Plane Trigonometry. Chain Surveying. Compass Surveying. Transit ... International Correspondence Schools Keine Leseprobe verfügbar - 2015 |
Geometry: Plane Trigonometry. Chain Surveying. Compass Surveying. Transit ... International Correspondence Schools Keine Leseprobe verfügbar - 2018 |
Häufige Begriffe und Wortgruppen
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
Beliebte Passagen
Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 17 - If two triangles have two sides of the one equal to two sides of the other...
Seite 3 - ... in a direction opposite to that in which the hands of a clock move, and...
Seite 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.
Seite 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.