The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skilful Practice of this Art |
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Page 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 HO 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 HO and the arc HBG , or that which is comprehend- ed ...
Page 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 ...
Page 41
... thus HL is the sine of the arc HB , or of its supplement ADH . fig . 8 . 28. The measure of a right - lined angle , is the arc of a circle swept from the angular point , and G 3. When the chord is greatest it becomes a di- GEOMETRY . 41.
... thus HL is the sine of the arc HB , or of its supplement ADH . fig . 8 . 28. The measure of a right - lined angle , is the arc of a circle swept from the angular point , and G 3. When the chord is greatest it becomes a di- GEOMETRY . 41.
Page 42
... 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 ...
Page 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.
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Common terms and phrases
acres altitude Answer arch azimuth base bearing blank line centre chains and links chord circle circumferentor Co-sec Co-tang column compasses contained decimal difference distance line divided divisions draw east Ecliptic edge feet field-book figures fore four-pole chains geom given number half the sum Horizon glass hypothenuse inches instrument Lat Dep Lat latitude length logarithm measure meridian distance multiplied natural co-sine natural sine needle Nonius number of degrees object observed off-sets opposite parallel parallelogram pegs perches perpendicular plane pole pole star Portmarnock PROB protractor Quadrant quotient radius right angles right line scale of equal SCHOLIUM screw Secant sect Sextant side sights square station stationary distance subtract Sun's survey taken Tang tangent theo theodolite trapezium triangle ABC trigonometry two-pole chains vane versed sine vulgar fraction whence
Popular passages
Page 38 - 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.
Page 25 - 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.
Page 197 - RULE. From half the sum of the three sides subtract each side severally.
Page 106 - C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Page 27 - The VERSED SINE of an arc is that part of the diameter which is between the sine and the arc. Thus BA is the versed sine of the arc AG.