Tables of Logarithms of Numbers and of Sines and Tangents for Every Ten Seconds of the Quadrant: With Other Useful Tables |
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Page 44
... scale is a ruler , frequently two feet in length , containing a line of equal parts , chords , sines , tan- gents , & c . For a scale of equal parts , a line is divided into inches and tenths of an inch , or half inches and twentieths ...
... scale is a ruler , frequently two feet in length , containing a line of equal parts , chords , sines , tan- gents , & c . For a scale of equal parts , a line is divided into inches and tenths of an inch , or half inches and twentieths ...
Page 45
... scale the chord of 60 ° , and with this radius describe an arc of a circle . Then take from the scale the chord of the given angle , and set it off upon the former arc . Through these two points of division draw lines to the center of ...
... scale the chord of 60 ° , and with this radius describe an arc of a circle . Then take from the scale the chord of the given angle , and set it off upon the former arc . Through these two points of division draw lines to the center of ...
Page 46
With Other Useful Tables Elias Loomis. 7 .8 upon paper to any scale ; as , for example , a scale of 6 feet to the inch . For this purpose , take an inch with the dividers from the scale of inches ; then , placing one foot of the dividers ...
With Other Useful Tables Elias Loomis. 7 .8 upon paper to any scale ; as , for example , a scale of 6 feet to the inch . For this purpose , take an inch with the dividers from the scale of inches ; then , placing one foot of the dividers ...
Page 47
... scale of equal parts lay off a portion , AB , equal to the given side . From each extremity lay off an angle equal to one of the adjacent an- gles , by means of a protractor or a scale of chords . Extend the two lines till they ...
... scale of equal parts lay off a portion , AB , equal to the given side . From each extremity lay off an angle equal to one of the adjacent an- gles , by means of a protractor or a scale of chords . Extend the two lines till they ...
Page 94
... scale of small extent , graduated in such a manner that , being moved by the side of a fixed scale , we are enabled to measure minute portions of this scale . The length of this movable scale is equal to a certain number of parts of ...
... scale of small extent , graduated in such a manner that , being moved by the side of a fixed scale , we are enabled to measure minute portions of this scale . The length of this movable scale is equal to a certain number of parts of ...
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Common terms and phrases
9 I I altitude angle of elevation arithm base chains circle Co-sine Co-tangent complement computed correction cosecant course and distance decimal diameter diff difference of latitude difference of longitude Dist divided equal equator fifth figure find the angles find the area find the Logarithm frustum given number given the angle height Hence horizontal plane hypothenuse inches latitude and departure length LO LO LO logarithmic sine measured meridian middle latitude miles minutes Multiply natural number nautical miles parallel parallel sailing perpendicular places plane sailing Prob Prop proportional quadrant radius Required the logarithmic right-angled spherical triangle right-angled triangle Sandy Hook secant ship sails side AC spherical triangle ABC SPHERICAL TRIGONOMETRY station subtract surface tabular number tang Tangent telescope theodolite Theorem vernier vertical Vulgar Fraction wyll yards zoids ΙΙ ΙΟ
Popular passages
Page 20 - The circumference of every circle is supposed to be divided into 360 equal parts, • called degrees, each degree into 60 minutes, and each minute into 60 seconds, etc.
Page 163 - In any spherical triangle, the sines of the sides are proportional to the sines of the opposite angles. In the case of right-angled spherical triangles, this proposition has already been demonstrated.
Page 69 - FIND the area of the sector having the same arc with the segment, by the last problem. Find also the area of the triangle, formed by the chord of the segment and the two radii of the sector.
Page 54 - 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 69 - TO THE NUMBER OF DEGREES IN THE ARC ; So IS THE AREA OF THE CIRCLE, TO THE AREA OF THE SECTOR.
Page 73 - To find the solidity of a pyramid. RULE. Multiply the area of the base by one third of the altitude.
Page vi - The characteristic of the logarithm of ANY NUMBER GREATER THAN UNITY, is one less than the number of integral figures in the given number.
Page 184 - If a heavy sphere, whose diameter is 4 inches, be let fall into a conical glass, full of water, whose diameter is 5, and altitude 6 inches ; it is required to determine how much water will run over ? AHS.