The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skilful Practice of this ArtJ.J. Harper, 1828 - 435 páginas |
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Página 39
... chord thus the space which is comprehended between the chord HG and the arc HBG , or that which is comprehended between the said chord HG and the arc HDAEG are called seg- ments . Whence it is plain , fig . 8 . 1. That any chord will ...
... chord thus the space which is comprehended between the chord HG and the arc HBG , or that which is comprehended between the said chord HG and the arc HDAEG are called seg- ments . Whence it is plain , fig . 8 . 1. That any chord will ...
Página 47
... chord AB , it will bisect it in the point D. Let the lines AC and CB be drawn from the centre to the extre- mities of the chord , then since CACB the angles CAB = CBA ( by the lemma . ) But the triangles ADC , BDC are right angled ones ...
... chord AB , it will bisect it in the point D. Let the lines AC and CB be drawn from the centre to the extre- mities of the chord , then since CACB the angles CAB = CBA ( by the lemma . ) But the triangles ADC , BDC are right angled ones ...
Página 48
... chord , bisects that chord at right angles ; therefore , conversely , a line bisecting a chord at right angles must pass through the centre , and consequently be a diameter . THEOREM IX . PL . 1. fig . 29 . If from the centre of a ...
... chord , bisects that chord at right angles ; therefore , conversely , a line bisecting a chord at right angles must pass through the centre , and consequently be a diameter . THEOREM IX . PL . 1. fig . 29 . If from the centre of a ...
Página 50
... chord of 60 degrees on the line of chords . * For different demonstrations of this excellent Theorem , the reader may consult THEOREM XVI . PL . 1. fig . 34 . Leslie's Geometry , ( Prop . xi . book ii . ) 50 GEOMETRICAL.
... chord of 60 degrees on the line of chords . * For different demonstrations of this excellent Theorem , the reader may consult THEOREM XVI . PL . 1. fig . 34 . Leslie's Geometry , ( Prop . xi . book ii . ) 50 GEOMETRICAL.
Página 51
... chord , sine , tangent , & c . of that arc will be also greater . Therefore , in general , the chord , sine , tangent , & c . of any arc is proportional to the radius of the circle ; ) the same way the chord AB is to the chord ab , in ...
... chord , sine , tangent , & c . of that arc will be also greater . Therefore , in general , the chord , sine , tangent , & c . of any arc is proportional to the radius of the circle ; ) the same way the chord AB is to the chord ab , in ...
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Términos y frases comunes
ABCD acres altitude Answer arch base bearing centre chains and links circle circumferentor Co-sec Co-tang column compasses contained cube root decimal difference of latitude Dist divided divisions divisor draw east Ecliptic edge EXAMPLE feet field-book figure four-pole chains given angle given number half the sum height Hence Horizon glass hypothenuse inches instrument length logarithm measure Meridian Altitude meridian distance method multiplied natural co-sine natural number natural sine Nonius number of degrees object observed off-sets opposite parallel parallelogram perches perpendicular plane prob PROBLEM proportional protractor Quadrant quotient radius rhombus right angles right line Secant sect semicircle Sextant side square root station subtract Sun's survey taken Tang tangent theo theodolite THEOREM trapezium triangle ABC trigonometry two-pole chains vane versed sine vulgar fraction whence