NavigationW. & R. Chambers, 1867 - 458 sider |
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Side 16
... sides . ( a + b ) 2 = a2 + 2ab + b2 . ( a - b ) 2a2-2ab + b2 . ( a + b ) ( a - b ) = a2 — b2 . a3 + x3 = ( a + x ) ( a2 — ax + x2 ) . a3 — x3 = ( a − x ) ( a2 + ax + x2 ) . - a2 + x2 + y2 - ax - ay - xy = a2 + x2 + y2 + ax + ay + xy ( ...
... sides . ( a + b ) 2 = a2 + 2ab + b2 . ( a - b ) 2a2-2ab + b2 . ( a + b ) ( a - b ) = a2 — b2 . a3 + x3 = ( a + x ) ( a2 — ax + x2 ) . a3 — x3 = ( a − x ) ( a2 + ax + x2 ) . - a2 + x2 + y2 - ax - ay - xy = a2 + x2 + y2 + ax + ay + xy ( ...
Side 17
... sides by d , gives ad = bc , which was to be proved . - 37. THEOREM . In any analogy or proportion the antecedents ... sides of this equation by - ( 29 , g ) , and cancel the common factors from numerators and denominators on both α b C ...
... sides by d , gives ad = bc , which was to be proved . - 37. THEOREM . In any analogy or proportion the antecedents ... sides of this equation by - ( 29 , g ) , and cancel the common factors from numerators and denominators on both α b C ...
Side 19
... sides by b + d + f , ( 29 , i ) , gives therefore ( 29 , a ) a + c + e b + d + f = r ; but r α a + c + e b = b + d + f α = b 43. COR . Since it has been proved in the above that if a C e = a a + c + e then q = b + d + f ' it follows ...
... sides by b + d + f , ( 29 , i ) , gives therefore ( 29 , a ) a + c + e b + d + f = r ; but r α a + c + e b = b + d + f α = b 43. COR . Since it has been proved in the above that if a C e = a a + c + e then q = b + d + f ' it follows ...
Side 20
... sides , it becomes a с d F - = - 47. If three terms of an analogy or proportion be given , the fourth can always be ... sides first by bc bc d and then by a , gives a = and d = d ' a Again , since ad = bc , bc = ad , and dividing both ...
... sides , it becomes a с d F - = - 47. If three terms of an analogy or proportion be given , the fourth can always be ... sides first by bc bc d and then by a , gives a = and d = d ' a Again , since ad = bc , bc = ad , and dividing both ...
Side 21
... sides first by ‹ , b2 b2 and then by a , gives a = — and c = - с a Again , since ac = b2 , b2 = ac , and taking the square root of both sides , b = Jac . 50. If three quantities be in continued proportion , the first is to the third as ...
... sides first by ‹ , b2 b2 and then by a , gives a = — and c = - с a Again , since ac = b2 , b2 = ac , and taking the square root of both sides , b = Jac . 50. If three quantities be in continued proportion , the first is to the third as ...
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Vanlige uttrykk og setninger
anchor apparent altitude barometer called Cape Cape Clear centre chords chronometer column common logarithms corrected cosec course and distance course steered decimal departure dept difference of latitude difference of longitude dist distance sailed divided equation Example extent will reach find the course given GUNTER'S SCALE hence horizon hypotenuse index error latitude and longitude latitude arrived leeway line of numbers logarithms mast middle latitude miles moon's multiplied Nautical Almanac observed altitude October 20 parallax parallel Parallel Sailing perpendicular place of observation plane Plane Sailing points polar distance port tack quantities quotient radius required the course required the latitude required the true right ascension rope secant semidiameter sextant ship from latitude ship sails ship's side slider starboard tack subtract sun's declination tangent true altitude true course true distance variation vessel wind
Populære avsnitt
Side 395 - Nothing in these rules shall exonerate any ship, or the owner, or master, or crew thereof, from the consequences of any neglect to carry lights or signals, or of any neglect to keep a proper look.out, or of the neglect of any precaution which may be required by the ordinary practice of seamen, or by the special circumstances of the case.
Side 395 - In obeying and construing these rules due regard must be had to all dangers of navigation ; and due regard must also be had to any special circumstances which may exist in any particular case rendering a departure from the above rules necessary in order to avoid immediate danger.
Side 394 - Every steamship, when approaching another ship so as to involve risk of collision, shall slacken her speed, or if necessary stop and reverse ; and every steamship shall, when in a fog, go at a moderate speed.
Side 391 - ... abaft the beam on the starboard side, and of such a character as to be visible at a distance of at least 2 miles. (c.) On the...
Side 392 - ... use : and shall, on the approach of or to other vessels, be exhibited on their respective sides in sufficient time to prevent collision, in such manner as to make them most visible, and so that the green light shall not be seen on the port side nor the red light on the starboard side, nor, if practicable, more than two points abaft the beam on their respective sides.
Side 392 - ... so constructed as to show a clear, uniform, and unbroken light visible all around the horizon at a distance of at least one mile.
Side 392 - The said green and red side lights shall be fitted with inboard screens projecting at least three feet forward from the light, so as to prevent these lights from being seen across the bow.
Side 393 - Sailing pilot vessels shall not carry the lights required for other sailing vessels, but shall carry a white light at the masthead, visible all round the horizon, and shall also exhibit a flareup light every fifteen minutes.
Side 393 - When two steam vessels are meeting end on, or nearly end on, so as to involve risk of collision, each shall alter her course to starboard so that each may pass on the port side of the other.
Side 393 - Whenever there is a fog, whether by day or night, the fog signals described below shall be carried and used, and shall be sounded at least every five minutes, viz. : (a...