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 |
Dentro del libro
Resultados 6-10 de 92
Página 42
... 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 become the radius ; hence it is plain that the radius CD is the greatest possible sine ...
... 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 become the radius ; hence it is plain that the radius CD is the greatest possible sine ...
Página 43
... drawing them according to def . 30 , there results the self - same line : thus HL is the sine of the arc HB , or of its supplement ADH , fig . 8 . 28. The measure of a right - lined angle is the arc of a circle swept from the angular ...
... drawing them according to def . 30 , there results the self - same line : thus HL is the sine of the arc HB , or of its supplement ADH , fig . 8 . 28. The measure of a right - lined angle is the arc of a circle swept from the angular ...
Página 44
... 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 , the line AD will be the height of the triangle ABC ...
... 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 , the line AD will be the height of the triangle ABC ...
Página 46
... drawn from one point , on the same side of a right line , all the angles made by these lines will be equal to two right angles . 2. And all the angles which can be made about a point will be equal to four right angles . THEOREM II . PL ...
... drawn from one point , on the same side of a right line , all the angles made by these lines will be equal to two right angles . 2. And all the angles which can be made about a point will be equal to four right angles . THEOREM II . PL ...
Página 47
... drawn parallel to AB ; then since BD cuts the two parallel lines BA , CE , the angle ECD = B ( by part 3 of the last theo . ) ; and again , since AC cuts the same parallels , the angle ACE = A ( by part 2 of the last ) , therefore ECD + ...
... drawn parallel to AB ; then since BD cuts the two parallel lines BA , CE , the angle ECD = B ( by part 3 of the last theo . ) ; and again , since AC cuts the same parallels , the angle ACE = A ( by part 2 of the last ) , therefore ECD + ...
Otras ediciones - Ver todas
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.