A treatise on navigation, and nautical astronomyBaldwin, Cradock, and Joy, 1824 - 551 sider |
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Resultat 1-5 av 49
Side 19
... ( Theo . 1. ) ; and therefore the angle A is equal to the angle B. Q.E.D. C AD B Cor . 1. The line which bisects the angle included between the equal sides of an isosceles triangle , bisects the third side , and is also perpendicular to ...
... ( Theo . 1. ) ; and therefore the angle A is equal to the angle B. Q.E.D. C AD B Cor . 1. The line which bisects the angle included between the equal sides of an isosceles triangle , bisects the third side , and is also perpendicular to ...
Side 20
... ( Theo . 1. ) and have the angle B A C equal to the angle EDF ; and the angle A B C equal to the angle D E F. Q. E. D. THEOREM VI . BD E The angles D BA and D B C which one straight line B D makes with another , A C , on the same side of ...
... ( Theo . 1. ) and have the angle B A C equal to the angle EDF ; and the angle A B C equal to the angle D E F. Q. E. D. THEOREM VI . BD E The angles D BA and D B C which one straight line B D makes with another , A C , on the same side of ...
Side 22
... ( Theo . 9. ) therefore A the angle FBE is equal to the angle AC E , ( Theo . G 1. ) and consequently the whole angle DBC is greater than the angle C. In the same way by producing C B , and bisecting A B , it may be shewn that the angle ...
... ( Theo . 9. ) therefore A the angle FBE is equal to the angle AC E , ( Theo . G 1. ) and consequently the whole angle DBC is greater than the angle C. In the same way by producing C B , and bisecting A B , it may be shewn that the angle ...
Side 23
... ( Theo . 1. ) and have the sides A G and D F equal to each other . And as B C and A BG are equal , the angles B C G and B G C are equal , ( Theo . 3. ) ; hence B G C is greater than AC G , and much more is A G C greater than A C G ...
... ( Theo . 1. ) and have the sides A G and D F equal to each other . And as B C and A BG are equal , the angles B C G and B G C are equal , ( Theo . 3. ) ; hence B G C is greater than AC G , and much more is A G C greater than A C G ...
Side 24
... ( Theo . 9. ) ; but these angles are also by supposition equal , which is impossible . The angles B E F and C F E are therefore not unequal , that is they are equal to each other . Q. E. D. Cor . A line which is perpendicular to one of ...
... ( Theo . 9. ) ; but these angles are also by supposition equal , which is impossible . The angles B E F and C F E are therefore not unequal , that is they are equal to each other . Q. E. D. Cor . A line which is perpendicular to one of ...
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A Treatise on Navigation and Nautical Astronomy ... Fourth edition, etc Edward Riddle Uten tilgangsbegrensning - 1842 |
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 18 - LET it be granted that a straight line may be drawn from any one point to any other point.
Side 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.
Side 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...
Side 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.
Side 114 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Side 63 - If from a point without a circle two straight lines be drawn, one of which...
Side 147 - Mathematical o>jgraphy.) the arc of the equator, intercepted between the first meridian...
Side 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.
Side 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.
Side 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.