Surveying and Navigation, with a Preliminary Treatise on Trigonometry and MensurationVan Antwerp, Braggs & Company, 1864 - 490 páginas |
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Página vii
... Surfaces Mensuration of Volumes SURVEYING .. Instruments . Survey of Public Lands Variation of the Needle Field Operations . Preliminary Calculations Area of Land PAGE 9 9 12 18 19 23 222 * 21 23 27 41 43 47 55 69 72 92 108 109 124 150 ...
... Surfaces Mensuration of Volumes SURVEYING .. Instruments . Survey of Public Lands Variation of the Needle Field Operations . Preliminary Calculations Area of Land PAGE 9 9 12 18 19 23 222 * 21 23 27 41 43 47 55 69 72 92 108 109 124 150 ...
Página 150
... surfaces and Mensuration of volumes . Mensu- MENSURATION OF SURFACES . 157. Unit of Superficial Measure . A unit of superficial measure is a square each side of which is a linear unit . Thus , according to the object to be accomplished ...
... surfaces and Mensuration of volumes . Mensu- MENSURATION OF SURFACES . 157. Unit of Superficial Measure . A unit of superficial measure is a square each side of which is a linear unit . Thus , according to the object to be accomplished ...
Página 151
... and altitude are given . Since a triangle is one - half the parallelogram having the same base and altitude , we have for the tri- angle , ს ( 1 ) k ab . 2. When two sides and their included angle are given SURFACES . 151.
... and altitude are given . Since a triangle is one - half the parallelogram having the same base and altitude , we have for the tri- angle , ს ( 1 ) k ab . 2. When two sides and their included angle are given SURFACES . 151.
Página 153
... 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.
... 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 155
... , and call the areas of the tri- angles k ' and k " . In one triangle we have two sides A 7 : ស៊ and their included angle , from which we find the area and the diagonal . Then , in the other triangle , we have the SURFACES . 155.
... , and call the areas of the tri- angles k ' and k " . In one triangle we have two sides A 7 : ស៊ and their included angle , from which we find the area and the diagonal . Then , in the other triangle , we have the SURFACES . 155.
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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...