The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skilful Practice of this Art. With a New Set of Accurate Mathematical TablesA. S. Barnes, 1839 - 412 páginas |
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Página 41
... angle , as ABC . Note . When an angle is expressed by three letters , the middle one is that at the angular point . 9. When the lines that form the angle are right ones , it is then called a right - lined angle , as ABC , fig . 4. If ...
... angle , as ABC . Note . When an angle is expressed by three letters , the middle one is that at the angular point . 9. When the lines that form the angle are right ones , it is then called a right - lined angle , as ABC , fig . 4. If ...
Página 43
... angle : thus the angle HCB , fig . 8 , is measured by the arc HB , and is said to contain so many de- grees as the are HB does ; so if the arc HB is 60 degrees , the angle HCB is an angle of 60 degrees . Hence angles are greater or less ...
... angle : thus the angle HCB , fig . 8 , is measured by the arc HB , and is said to contain so many de- grees as the are HB does ; so if the arc HB is 60 degrees , the angle HCB is an angle of 60 degrees . Hence angles are greater or less ...
Página 44
... angles acute , as F , fig . 15 . 39. Acute and obtuse - angled triangles are in general called oblique - angled ... angles right is called a square , as ABCD , fig . 17 . 44. A parallelogram whose opposite sides are equal and angles ...
... angles acute , as F , fig . 15 . 39. Acute and obtuse - angled triangles are in general called oblique - angled ... angles right is called a square , as ABCD , fig . 17 . 44. A parallelogram whose opposite sides are equal and angles ...
Página 46
... angles , or two angles equal to two right angles . 1. If AB be perpendicular to CD , then ( by def . 10 ) the an- gles CBA and ABD will be each a right angle . 2. But if the line fall slantwise , as EB , and let AB be per- pendicular to ...
... angles , or two angles equal to two right angles . 1. If AB be perpendicular to CD , then ( by def . 10 ) the an- gles CBA and ABD will be each a right angle . 2. But if the line fall slantwise , as EB , and let AB be per- pendicular to ...
Página 47
... angle ACE - A ( by part 2 of the last ) , therefore ECD + ACE ACD = B + A . Q. E. D. Cor . 1. Hence , if a triangle have its exterior angle and one of its opposite interior angles double of those in another tri- angle , its remaining ...
... angle ACE - A ( by part 2 of the last ) , therefore ECD + ACE ACD = B + A . Q. E. D. Cor . 1. Hence , if a triangle have its exterior angle and one of its opposite interior angles double of those in another tri- angle , its remaining ...
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Términos y frases comunes
ABCD acres altitude arch base bearing blank line centre chains and links circle circumferentor column compasses contained Cosine Sine cube root decimal diagonal diameter difference of latitude divided divisions divisor draw east ecliptic edge EXAMPLE feet field-book figure four-pole chains geometrical series given angle given number half the sum height Hence horizon glass hypothenuse inches instrument length logarithm manner measure meridian distance multiplied needle nonius number of degrees object observed opposite parallelogram perches perpendicular plane prob PROBLEM proportion protractor quadrant quotient radius rhombus right angles right line scale of equal screw secant sect sector semicircle side Sine Cotang square root station stationary distance subtract suppose survey taken Tang tangent theo theodolite THEOREM trapezium triangle ABC trigonometry two-pole chains vane vulgar fraction whence
Pasajes populares
Página 49 - The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Página 41 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, &c.
Página 41 - The radius of a circle is a right line drawn from the centre to the circumference.
Página 45 - A lemma is something which is premised, or demonstrated, in order to render what follows more easy. A corollary is a consequent truth derived immediately from some preceding truth or demonstration.
Página 35 - DIVISION BY LOGARITHMS. RULE. From the logarithm of the dividend subtract the logarithm of the divisor, and the number answering to the remainder will be the quotient required.
Página 21 - Then multiply the second and third terms together, and divide the product by the first term: the quotient will be the fourth term, or answer.