A treatise on navigation, and nautical astronomyBaldwin, Cradock, and Joy, 1824 - 551 Seiten |
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Seite 86
... pole of a circle is a point on the surface of the sphere equally distant from every point in the circumference of the circle . 4. A spherical angle is an angle on the surface of a sphere con- tained by the arcs of two great circles ...
... pole of a circle is a point on the surface of the sphere equally distant from every point in the circumference of the circle . 4. A spherical angle is an angle on the surface of a sphere con- tained by the arcs of two great circles ...
Seite 87
... pole and the circum- ference of another great circle is a quadrant . E Let D be the pole of the circle A B C , and A D C a great circle passing through D , then as ADC and ABC are semicircles , A C the common sections of their planes is ...
... pole and the circum- ference of another great circle is a quadrant . E Let D be the pole of the circle A B C , and A D C a great circle passing through D , then as ADC and ABC are semicircles , A C the common sections of their planes is ...
Seite 89
... poles are the angular points of a spherical triangle , will by their intersection form another triangle , whose angular points are the poles of the great circles , which by their intersection ... pole of L H. OF SPHERICAL TRIGONOMETRY . 89.
... poles are the angular points of a spherical triangle , will by their intersection form another triangle , whose angular points are the poles of the great circles , which by their intersection ... pole of L H. OF SPHERICAL TRIGONOMETRY . 89.
Seite 90
... pole of G K , and F the pole of MI ; and con- sequently L H is the measure of the angle D , G K the measure of the angle E , and M I the measure of the angle F. Now as D is the pole of L H , D H is a quadrant ; and as E is the pole of ...
... pole of G K , and F the pole of MI ; and con- sequently L H is the measure of the angle D , G K the measure of the angle E , and M I the measure of the angle F. Now as D is the pole of L H , D H is a quadrant ; and as E is the pole of ...
Seite 91
... pole of A B G , and E will be the pole of A F G. Join C E , then C E will be a quadrant , and the angle ECA will be a right angle . Hence when A B is B E G less than A E , or less than a quadrant , the opposite angle B C A will be less ...
... pole of A B G , and E will be the pole of A F G. Join C E , then C E will be a quadrant , and the angle ECA will be a right angle . Hence when A B is B E G less than A E , or less than a quadrant , the opposite angle B C A will be less ...
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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.