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
... chord is a right line drawn from one end of an arc or arch ( that is , any part of the circumference of a circle ) ... chord thus the space which is comprehended between : hended between the said chord HG and the arc HDAEG the chord HG and ...
... chord is a right line drawn from one end of an arc or arch ( that is , any part of the circumference of a circle ) ... chord thus the space which is comprehended between : hended between the said chord HG and the arc HDAEG the chord HG and ...
Página 42
... chord HG and the arc HDAEG are called segments . Whence it is plain , fig . 8 , 1. That any chord will divide the circle into two segments . 2. The less the chord is , the more unequal are the segments . 3. When the chord is greatest it ...
... chord HG and the arc HDAEG are called segments . Whence it is plain , fig . 8 , 1. That any chord will divide the circle into two segments . 2. The less the chord is , the more unequal are the segments . 3. When the chord is greatest it ...
Página 49
... chord as AB are equal to each other , for they are all measured by 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 ...
... chord as AB are equal to each other , for they are all measured by 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 ...
Página 50
... chord ; then since CA = CB , the angles CAB CBA ( by the lemma ) . But the triangles ADC , BDC are right - angled ... chord at right angles is a diameter ; for a line drawn from the centre perpendicular to a chord bisects that chord at ...
... chord ; then since CA = CB , the angles CAB CBA ( by the lemma ) . But the triangles ADC , BDC are right - angled ... chord at right angles is a diameter ; for a line drawn from the centre perpendicular to a chord bisects that chord at ...
Página 53
... chord of 60 degrees on the line of chords . THEOREM XVI . PL . 1. fig . 34 . If in two triangles , ABC , abc , all the angles of one be each respectively equal to all the angles of the other ; that is , Aa , B = b , C = c ; then the ...
... chord of 60 degrees on the line of chords . THEOREM XVI . PL . 1. fig . 34 . If in two triangles , ABC , abc , all the angles of one be each respectively equal to all the angles of the other ; that is , Aa , B = b , C = c ; then the ...
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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.