The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skilful Practice of this ArtEvert Duyckinck, 1814 - 508 σελίδες |
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Σελίδα 39
... chord is a right line drawn from one end of an arc or arch ( that is , any part of the circum- ference of a circle ) ... chord : thus the space- which is comprehended between the chord HG and the arc HBG , or that which is comprehend- ed ...
... chord is a right line drawn from one end of an arc or arch ( that is , any part of the circum- ference of a circle ) ... chord : thus the space- which is comprehended between the chord HG and the arc HBG , or that which is comprehend- ed ...
Σελίδα 40
... chord is greatest it becomes a di- ameter , and then the segments are equal ; and each segment is a semicircle . 19. A sector of a circle is a part thereof less than a semicircle , which is contained between two ra- dii and an arc ...
... chord is greatest it becomes a di- ameter , and then the segments are equal ; and each segment is a semicircle . 19. A sector of a circle is a part thereof less than a semicircle , which is contained between two ra- dii and an arc ...
Σελίδα 51
... the circumference of a circle which stands on the same 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 THEOREMS . 51.
... the circumference of a circle which stands on the same 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 THEOREMS . 51.
Σελίδα 52
... chord AB , it will bisect it in the point D. Let the lines AC and CB be drawn from the centre to the extremities of the chord , then since CA CB , 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 extremities of the chord , then since CA CB , the angles CAB = CBA ( by the lemma . ) But the triangles ADC , BDC are right angled ones ...
Σελίδα 53
... chord , bisects that chord at right angles ; there- fore , conversely , a line bisecting a chord at right angles must pass through the centre , and conse- quently be a diameter . THEO . IX . PL . 1. fig . 29 . If from the centre of a ...
... chord , bisects that chord at right angles ; there- fore , conversely , a line bisecting a chord at right angles must pass through the centre , and conse- quently be a diameter . THEO . IX . PL . 1. fig . 29 . If from the centre of a ...
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acres altitude Answer arch base bearing blank line centre chains and links circle circle of latitude circumferentor Co-sec Co-tang column compasses contained decimal Dep Lat Dep difference Dist divided divisions draw east Ecliptic edge EXAMPLE feet field-book figures fore four-pole chains geometrical series given number half the sum Horizon glass hypothenuse inches instrument Lat Dep Lat latitude length logarithm measure meridian distance multiplied Natural Co-sines natural sine Nonius number of degrees object observed off-sets opposite parallelogram perches perpendicular plane pole pole star PROB proportion protractor Quadrant quotient radius right angles right line scale of equal SCHOLIUM screw Secant sect semicircle Sextant side sights square root station stationary distance subtracted survey taken Tang tangent theo theodolite trapezium triangle ABC trigonometry vane versed sine vulgar fraction