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 TablesHarper, 1832 - 348 páginas |
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Página 40
... line are points , as the extremities of the line AB are the points A and B , figures 1 and 2 . 5. A right line is the shortest that can be drawn between any two points , as the line AB , fig . 1 ; but if it be not the shortest , it is ...
... line are points , as the extremities of the line AB are the points A and B , figures 1 and 2 . 5. A right line is the shortest that can be drawn between any two points , as the line AB , fig . 1 ; but if it be not the shortest , it is ...
Página 41
... line AB to the line BC , meeting each other in the point B , or the opening of the two lines BA and BC , is called ... right ones , it is then called a right - lined angle , as ABC , fig . 4. If one of them be right and the other curved ...
... line AB to the line BC , meeting each other in the point B , or the opening of the two lines BA and BC , is called ... right ones , it is then called a right - lined angle , as ABC , fig . 4. If one of them be right and the other curved ...
Página 42
... right sine of an arc is a perpendicular line let fall from one end thereof , to a diameter drawn to the other end : thus HL is the right sine of the arc HB . The sines on the same diameter increase till they come to the centre , and so ...
... right sine of an arc is a perpendicular line let fall from one end thereof , to a diameter drawn to the other end : thus HL is the right sine of the arc HB . The sines on the same diameter increase till they come to the centre , and so ...
Página 43
... lines are such as are equidistant from each other , as AB , CD , fig . 9 . 31. A figure is a space bounded by a line or lines . If the lines be right it is called a rectilineal figure ; if curved it is called a curvilineal figure ; but ...
... lines are such as are equidistant from each other , as AB , CD , fig . 9 . 31. A figure is a space bounded by a line or lines . If the lines be right it is called a rectilineal figure ; if curved it is called a curvilineal figure ; but ...
Página 44
... line drawn from the vertex to the base perpendicularly : thus if the triangle ABC be proposed , and BC be made its base , then if from the vertex A the perpendicular AD be drawn to BC ... right line may be produced or continued 44 GEOMETRY .
... line drawn from the vertex to the base perpendicularly : thus if the triangle ABC be proposed , and BC be made its base , then if from the vertex A the perpendicular AD be drawn to BC ... right line may be produced or continued 44 GEOMETRY .
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Términos y frases comunes
ABCD acres altitude arch azimuth base bearing blank line centre chains and links circle circumferentor co-sine column compasses contained 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 method multiplied needle nonius number of degrees object observed offsets opposite parallelogram perches perpendicular plane prob PROBLEM proportion protractor quadrant quotient radius rhombus right angles right line scale of equal SCHOLIUM screw secant sect sector semicircle side square root station stationary distance subtract suppose survey taken tangent theo theodolite THEOREM third trapezium triangle ABC trigonometry two-pole chains vane vulgar fraction whence
Pasajes populares
Página 173 - In like manner, when it is said, that " triangles on the same base, and between the same parallels, are equal...
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 163 - RULE. From half the sum of the three sides subtract each side severally.
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 97 - 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 41 - The radius of a circle is a right line drawn from the centre to the circumference.
Página 52 - Triangles upon equal bases, and between the same parallels, are equal to one another.
Página 24 - The square of the sum of two numbers is equal to the square of the first number plus twice the product of the first and second number plus the square of the second number.
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.