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 29
... half the sum of the spaces AD and Ad will be 0.1+ & c . and the half diff . = 0.01 0.001 0.00001 0.0000001 3 6 4 + + C 7 0.0001 0.000001 Which reduced will stand thus , 0.00000001 & c . 0.1000000000000,0.0050000000000 Sum of these ...
... half the sum of the spaces AD and Ad will be 0.1+ & c . and the half diff . = 0.01 0.001 0.00001 0.0000001 3 6 4 + + C 7 0.0001 0.000001 Which reduced will stand thus , 0.00000001 & c . 0.1000000000000,0.0050000000000 Sum of these ...
Página 45
... half , third , fourth , & c . part . Note . Though these postulates are not always quoted , the reader will easily perceive where and in what sense they are to be understood . AXIOMS , OR SELF - EVIDENT TRUTHS . 1. Things that are equal ...
... half , third , fourth , & c . part . Note . Though these postulates are not always quoted , the reader will easily perceive where and in what sense they are to be understood . AXIOMS , OR SELF - EVIDENT TRUTHS . 1. Things that are equal ...
Página 47
... half - silvered glass at C , it is again reflected to E , where the eye likewise receives , through the transparent part of that glass , a direct ray from the boun- dary of the horizon . Hence , the triangle AEC has its exterior angle ...
... half - silvered glass at C , it is again reflected to E , where the eye likewise receives , through the transparent part of that glass , a direct ray from the boun- dary of the horizon . Hence , the triangle AEC has its exterior angle ...
Página 49
... half the arc they stand on , viz . by half the arc AB Fig . 26 . Cor . 3. Hence an angle in a segment greater than a semi- circle is less than a right angle ; thus ADB is measured by half the arc AB ; but as the arc AB is less than a ...
... half the arc they stand on , viz . by half the arc AB Fig . 26 . Cor . 3. Hence an angle in a segment greater than a semi- circle is less than a right angle ; thus ADB is measured by half the arc AB ; but as the arc AB is less than a ...
Página 50
... half of a semicircle AED , and therefore a right angle . THEOREM VIII . PL . 1. fig . 29 . If from the centre C of a ... half the chord of twice that arc . For AD is the sine of the arc AF ( by def . 20 ) , AF is half the arc , and AD ...
... half of a semicircle AED , and therefore a right angle . THEOREM VIII . PL . 1. fig . 29 . If from the centre C of a ... half the chord of twice that arc . For AD is the sine of the arc AF ( by def . 20 ) , AF is half the arc , and AD ...
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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.