A treatise on navigation, and nautical astronomyBaldwin, Cradock, and Joy, 1824 - 551 Seiten |
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Seite 67
... secant of an arc is the straight line drawn from the centre to the termination of the tangent . H B F E A K Remark . The sine , tangent , secant , & c . of the complement of an arc , are usually termed the cosine , cotangent , and ...
... secant of an arc is the straight line drawn from the centre to the termination of the tangent . H B F E A K Remark . The sine , tangent , secant , & c . of the complement of an arc , are usually termed the cosine , cotangent , and ...
Seite 68
... secant and cosine are each equal to the radius . 2d , The sine and the versed sine of a quadrant are each equal to the radius , its cosine is evanescent , and its secant and tangent are infinite . 3d , The chord of an arc is twice the ...
... secant and cosine are each equal to the radius . 2d , The sine and the versed sine of a quadrant are each equal to the radius , its cosine is evanescent , and its secant and tangent are infinite . 3d , The chord of an arc is twice the ...
Seite 69
... secant of the arc AC ; NO , O M , M P and BP the sine , versed sine , tangent , and secant of the arc M N. Then as ON , MP , DC , and A E , are parallel , we have CD : NO :: rad BC : rad B N ; AE : MP :: , or BE : BP : : rad B A and BC ...
... secant of the arc AC ; NO , O M , M P and BP the sine , versed sine , tangent , and secant of the arc M N. Then as ON , MP , DC , and A E , are parallel , we have CD : NO :: rad BC : rad B N ; AE : MP :: , or BE : BP : : rad B A and BC ...
Seite 71
... secant of 60 ° is equal to the diameter , or to double the radius . G Let D be the centre of a circle , A B an arc of 60 ° , and A C an arc of 45 ° . Draw the chord BA ; bisect the angle A B D with the line B E , and draw the tangent ...
... secant of 60 ° is equal to the diameter , or to double the radius . G Let D be the centre of a circle , A B an arc of 60 ° , and A C an arc of 45 ° . Draw the chord BA ; bisect the angle A B D with the line B E , and draw the tangent ...
Seite 78
... of its opposite angle , and the hypothenuse is the secant of the same angle . Cor . 5. sin C = АВ BC ' A C АВ cos C = tan C = BC AC ' sec C CB & c . CA ' PROPOSITION IV . The sides of plane triangles are to 78 ELEMENTARY PRINCIPLES.
... of its opposite angle , and the hypothenuse is the secant of the same angle . Cor . 5. sin C = АВ BC ' A C АВ cos C = tan C = BC AC ' sec C CB & c . CA ' PROPOSITION IV . The sides of plane triangles are to 78 ELEMENTARY PRINCIPLES.
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Häufige Begriffe und Wortgruppen
angled spherical triangle Answer apparent altitude Atlantic Ocean bisected Cape celestial object centre chronometer circle column compass computed correction Cosec Cosine Cotang course and distance declination diff lat diff long Difference of Latitude difference of longitude Dist equal equator EXAMPLES FOR EXERCISE Given A B greater Greenwich Hence horizontal parallax Indian Archipelago Indian Ocean Island Latitude and Departure latitude and longitude logarithm longitude Lunar Distance meridian distance miles moon moon's Nautical Almanac noon observed opposite Pacific Ocean parallax parallel parallel sailing parallelogram perpendicular plane sailing polar distance pole quadrant radius rectangle rhumb line right angled spherical right ascension Secant semidiameter sides squares of A C subtract Suvers Suversed Sines Table Tang tangent Theo THEOREM triangle A B C true altitude true distance Vers
Beliebte Passagen
Seite 18 - LET it be granted that a straight line may be drawn from any one point to any other point.
Seite 17 - When equals are taken from unequals, the remainders are unequal. 6. Things which are double of the same thing, or equal things, are equal to each other.
Seite 86 - III.), is a circle. If the plane pass through the centre, then, as every point in the surface of the sphere is equidistant from its centre, the section is a plane figure, every point of whose periphery is equidistant from a certain point within it, and the figure is therefore a circle. But if the plane do not pass through...
Seite 26 - Therefore all the interior angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Seite 114 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Seite 63 - If from a point without a circle two straight lines be drawn, one of which...
Seite 147 - Mathematical o>jgraphy.) the arc of the equator, intercepted between the first meridian...
Seite 64 - If from any point without a circle straight lines be drawn touching it, the angle contained by the tangents is double the angle contained by the straight line joining the points of contact and the diameter drawn through one of them.
Seite 139 - Given the vertical angle, the difference of the two sides containing it, and the difference of the segments of the base made by a perpendicular from the vertex ; construct the triangle.
Seite 86 - ... half a right angle, as the tangent of half the sum of the angles, at the base of the triangle to the tangent of half their difference.