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
... perpendicular . 11. An obtuse angle is that which is wider or greater than a right one , as the angle ADE , fig . 7 , and an acute angle is less than a right one , as EDB , fig . 7 . 12. Acute and obtuse angles in general are called ...
... perpendicular . 11. An obtuse angle is that which is wider or greater than a right one , as the angle ADE , fig . 7 , and an acute angle is less than a right one , as EDB , fig . 7 . 12. Acute and obtuse angles in general are called ...
Página 42
... 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 become the radius ; hence ...
... 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 become the radius ; hence ...
Página 44
... perpendicular height of a triangle is a 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 , the line ...
... perpendicular height of a triangle is a 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 , the line ...
Página 45
... perpendicular to another at a given point or dis- tance ; and that every magnitude has its half , third , fourth , & c . part . Note . Though these postulates are not always quoted , the reader will easily perceive where and in what ...
... perpendicular to another at a given point or dis- tance ; and that every magnitude has its half , third , fourth , & c . part . Note . Though these postulates are not always quoted , the reader will easily perceive where and in what ...
Página 46
... 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 CD ; then the LDBA = DBE + EBA : add ABC to each ; then , DBA ...
... 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 CD ; then the LDBA = DBE + EBA : add ABC to each ; then , DBA ...
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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.