Surveying and Navigation, with a Preliminary Treatise on Trigonometry and MensurationVan Antwerp, Braggs & Company, 1864 - 490 páginas |
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Página 150
... altitude of a rectangle . There are a rows of b superficial units each . Ն a Since there are b superficial units in ... altitude are commensurable , or have a com- mon unit . If the base and altitude are incommensurable , denote the 150 ...
... altitude of a rectangle . There are a rows of b superficial units each . Ն a Since there are b superficial units in ... altitude are commensurable , or have a com- mon unit . If the base and altitude are incommensurable , denote the 150 ...
Página 151
... altitude by a ' . Then , since by Geometry any two rectangles are to each other as the products of their bases and ... altitude are given . Let k denote the area , b the base , and a the altitude of a parallelogram . Since a ...
... altitude by a ' . Then , since by Geometry any two rectangles are to each other as the products of their bases and ... altitude are given . Let k denote the area , b the base , and a the altitude of a parallelogram . Since a ...
Página 153
... altitude is 24 ft . Ans . 900 sq . ft . 2. Two sides of a triangle are 25 yds . and 30 yds . , respectively , and their included angle is 50 ° ; required the area . Ans . 287.2665 sq . yds . - = 3. In a triangle , b 100 ft SURFACES . 153.
... altitude is 24 ft . Ans . 900 sq . ft . 2. Two sides of a triangle are 25 yds . and 30 yds . , respectively , and their included angle is 50 ° ; required the area . Ans . 287.2665 sq . yds . - = 3. In a triangle , b 100 ft SURFACES . 153.
Página 158
... altitude is 18 rds . Ans . 315 sq . rds . 3. Two adjacent sides of a parallelogram are 30 rds . and 40 rds . , and their included angle is 30 ° ; required the area . Ans . 600 sq . rds . 4. The diagonal of a quadrilateral is 40 rds ...
... altitude is 18 rds . Ans . 315 sq . rds . 3. Two adjacent sides of a parallelogram are 30 rds . and 40 rds . , and their included angle is 30 ° ; required the area . Ans . 600 sq . rds . 4. The diagonal of a quadrilateral is 40 rds ...
Página 165
... of a segment whose chord is 36 ft . and radius 30 ft . Ans . 147.30 sq . ft . 3. Find the area of a segment whose altitude is 36 rds . and radius 50 rds . Ans . 2545.85 sq . rds . 4. The area of a segment is 2545.85 sq . SURFACES ... 165.
... of a segment whose chord is 36 ft . and radius 30 ft . Ans . 147.30 sq . ft . 3. Find the area of a segment whose altitude is 36 rds . and radius 50 rds . Ans . 2545.85 sq . rds . 4. The area of a segment is 2545.85 sq . SURFACES ... 165.
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Términos y frases comunes
a. c. log ABCD adjacent angles adjacent sides altitude angle is equal arc increases base line C₁ chains clamp co-sine compass cosec Cotang denote departure diameter difference of level divided east escribed circles Examples feet field notes Find the angle find the area formulas frustum given side height hence horizontal hypotenuse included angle increases from 90 instrument intersection latitude links dist logarithm longitude M.
M. Cosine M.
M. Sine mantissa meander miles minus needle negative number corresponding offsets opposite angle parallel sailing parallelogram perpendicular plane plane sailing positive quarter section corner radius rhumb line right angle sailing secant ship side adjacent sin A sin solar compass spherical triangle stake standard parallel station survey surveyor Tang tangent telescope trapezoid variation vernier versed-sine vertex vertical Willamette Meridian
Pasajes populares
Página 110 - I. The sine of the middle part is equal to the product of the tangents of the adjacent parts.
Página 34 - If two triangles have two angles and the included side of the one, equal to two angles and the included side of the other, each to each, the two triangles will be equal.
Página 258 - All the corners marked in the surveys, returned by the surveyor general, or by the surveyor of the lands south of the state of Tennessee, respectively, shall be established as the proper corners of sections, or subdivisions of sections, which they were intended to designate ; and the corners of half and quarter sections, not marked on said surveys, shall be placed as nearly as possible equidistant from those two corners which stand on the same line.
Página 22 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 19 - To Divide One Number by Another, Subtract the logarithm of the divisor from the logarithm of the dividend, and obtain the antilogarithm of the difference.
Página 144 - Any angle is greater than the difference between 180° and the sum of the other two angles.
Página 124 - That is, the sines of the sides of a spherical triangle are proportional to the sines of the opposite angles.
Página 65 - 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.
Página 145 - A cos 6 = cos a cos c + sin a sin c cos B cos c = cos a cos 6 + sin a sin 6 cos C Law of Cosines for Angles cos A = — cos B...
Página 162 - Now, since the areas of similar polygons are to each other as the squares of their homologous sides...