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 43
... triangle , being composed of three right lines , and is considered in a double capacity : 1st , with respect to its sides ; and 2d , to its angles . 33. In respect to its sides , it is either equilateral , having the three sides equal ...
... triangle , being composed of three right lines , and is considered in a double capacity : 1st , with respect to its sides ; and 2d , to its angles . 33. In respect to its sides , it is either equilateral , having the three sides equal ...
Página 44
... triangles , in all which any side may be called the base , and the other two the sides . 40. The perpendicular height of a triangle is a line drawn from the vertex to the base perpendicularly : thus if the triangle ABC be proposed , and ...
... triangles , in all which any side may be called the base , and the other two the sides . 40. The perpendicular height of a triangle is a line drawn from the vertex to the base perpendicularly : thus if the triangle ABC be proposed , and ...
Página 47
... triangle ABC , one of its legs , as BC , being produced towards D , it will make the external angle ACD equal to the two internal opposite an- gles taken together ; viz . to B and A. Through C , let CE be drawn parallel to AB ; then ...
... triangle ABC , one of its legs , as BC , being produced towards D , it will make the external angle ACD equal to the two internal opposite an- gles taken together ; viz . to B and A. Through C , let CE be drawn parallel to AB ; then ...
Página 48
... triangle be known , the sum of the other two is also known ; for since the three angles of every triangle contain two right ones , or 180 degrees , therefore 180 the given angle will be equal to the sum of the other two ; or 180 - the ...
... triangle be known , the sum of the other two is also known ; for since the three angles of every triangle contain two right ones , or 180 degrees , therefore 180 the given angle will be equal to the sum of the other two ; or 180 - the ...
Página 49
... triangle abc be divided into two triangles acd , dcb , by making the angle acd = dcb ( by postulate 4 ) ; then because ac - bc , and cd common ( by the last ) , the triangle adc - dcb ; and therefore the angle a = b . Q. E. D. Cor ...
... triangle abc be divided into two triangles acd , dcb , by making the angle acd = dcb ( by postulate 4 ) ; then because ac - bc , and cd common ( by the last ) , the triangle adc - dcb ; and therefore the angle a = b . Q. E. D. Cor ...
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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.