A treatise on navigation, and nautical astronomyBaldwin, Cradock, and Joy, 1824 - 551 Seiten |
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Ergebnisse 1-5 von 84
Seite 14
... Tangent to a circle , or other curve , when the line touches the curve without cutting it , when both are produced . 13. An Angle is the inclination of two lines which diverge from the same point . 14. A Perpendicular is a line meeting ...
... Tangent to a circle , or other curve , when the line touches the curve without cutting it , when both are produced . 13. An Angle is the inclination of two lines which diverge from the same point . 14. A Perpendicular is a line meeting ...
Seite 40
... tangent EGF , the intercepted arcs , G C and G D , will be equal . THEOREM LVII . If AB be a tangent to a circle , and AC a chord drawn from A , the point of contact , the angle BAC will be equal to any angle in the alter- nate segment ...
... tangent EGF , the intercepted arcs , G C and G D , will be equal . THEOREM LVII . If AB be a tangent to a circle , and AC a chord drawn from A , the point of contact , the angle BAC will be equal to any angle in the alter- nate segment ...
Seite 41
... tangent to the circle , and the angle FEA will be measured by half the difference of the intercepted arcs A F and F B. THEOREM LX . If AB , any chord of a circle , be bisected in D , and the point D be joined to C , the centre of the ...
... tangent to the circle , and the angle FEA will be measured by half the difference of the intercepted arcs A F and F B. THEOREM LX . If AB , any chord of a circle , be bisected in D , and the point D be joined to C , the centre of the ...
Seite 43
... tangent to the circle . B A For from any other point C , in the line B C , draw CDA to the centre A , meeting the circle in D. Then because the angle ABC is a right angle , the angle ACB is less than a right angle ( Theo . 24 ...
... tangent to the circle . B A For from any other point C , in the line B C , draw CDA to the centre A , meeting the circle in D. Then because the angle ABC is a right angle , the angle ACB is less than a right angle ( Theo . 24 ...
Seite 44
... tangent to the circle , drawn from G , on the other side of the diameter will be equal to the tangent G H. THEOREM LXVIII . If BEFD be a circle , and from any point A in the diameter B D , or the diameter produced , the lines A E , A F ...
... tangent to the circle , drawn from G , on the other side of the diameter will be equal to the tangent G H. THEOREM LXVIII . If BEFD be a circle , and from any point A in the diameter B D , or the diameter produced , the lines A E , A F ...
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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.