A Compleat Treatise of Practical Navigation Demonstrated from It's First Principles: Together with All the Necessary Tables. To which are Added, the Useful Theorems of Mensuration, Surveying, and Gauging; with Their Application to Practice. Written for the Use of the Academy in Tower-StreetJ. Brotherton, 1734 - 414 σελίδες |
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Σελίδα 45
... CASE I. The Angles and one of the Legs given , to find the o- ther Leg . 7 Example . In the Triangle ABC rightangled at B , fuppofe the Leg AB , 86 equal parts , ( as Feet , Yards , Miles , & c . ) and the Angle A 33 ° , 40 ' re- quir'd ...
... CASE I. The Angles and one of the Legs given , to find the o- ther Leg . 7 Example . In the Triangle ABC rightangled at B , fuppofe the Leg AB , 86 equal parts , ( as Feet , Yards , Miles , & c . ) and the Angle A 33 ° , 40 ' re- quir'd ...
Σελίδα 47
... CASE 2 . The Angles and one of the Legs given , to find the Hypotbenufe . Example . In the Triangle ABC , suppose A B 124 , and the Angle A 34 , 20 ' ; confequently the Angle C 55 ° , 40 requir'd the Hypothenuse AC , in the fame parts ...
... CASE 2 . The Angles and one of the Legs given , to find the Hypotbenufe . Example . In the Triangle ABC , suppose A B 124 , and the Angle A 34 , 20 ' ; confequently the Angle C 55 ° , 40 requir'd the Hypothenuse AC , in the fame parts ...
Σελίδα 51
... CASE 4 . The two Legs being given , to find the Angles . Example . In the Triangle ABC , fuppofe AB 94 and BC 56 , requir'd the Angles A and C. Geometrically . Draw AB equal to 94 , from any line of equal parts , then from the point B ...
... CASE 4 . The two Legs being given , to find the Angles . Example . In the Triangle ABC , fuppofe AB 94 and BC 56 , requir'd the Angles A and C. Geometrically . Draw AB equal to 94 , from any line of equal parts , then from the point B ...
Σελίδα 52
... CASE 5 . The Hypothenufe , and one of the Legs given , to find the Angles . Example . In the Triangle DEF , fuppofe the Leg DE 83 , and the Hypothenufe DF 126 , re quir'd the Angles D and F. Geometrically . Draw the line DE 83 , from ...
... CASE 5 . The Hypothenufe , and one of the Legs given , to find the Angles . Example . In the Triangle DEF , fuppofe the Leg DE 83 , and the Hypothenufe DF 126 , re quir'd the Angles D and F. Geometrically . Draw the line DE 83 , from ...
Σελίδα 53
... CASE 6 · The two Legs given , to find the Hypothenuse . Example . In the Triangle A B D , fuppofe the Leg AB , 64 , and B D , 56 , requir'd the Hypothenufe . Geometrically . The Construction of this Cafe is perform'd the fame way as in ...
... CASE 6 · The two Legs given , to find the Hypothenuse . Example . In the Triangle A B D , fuppofe the Leg AB , 64 , and B D , 56 , requir'd the Hypothenufe . Geometrically . The Construction of this Cafe is perform'd the fame way as in ...
Άλλες εκδόσεις - Προβολή όλων
A Compleat Treatise of Practical Navigation Demonstrated From It's First ... Archibald Patoun Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2017 |
A Compleat Treatise of Practical Navigation Demonstrated From It's First ... Archibald Patoun Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2017 |
A Compleat Treatise of Practical Navigation Demonstrated from It's First ... Archibald Patoun Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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Δημοφιλή αποσπάσματα
Σελίδα iv - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, etc.
Σελίδα iv - A diameter of a circle is a straight line drawn through the center and terminated both ways by the circumference, as AC in Fig.
Σελίδα iv - B is an arc, and a right line drawn from one end of an arc to the other is called a chord.
Σελίδα 19 - ... 1 and 6, 2 and 5, 3 and 4, 4 and 3, 5 and 2, 6 and 1 , 5 and 6, or 6 and 5.
Σελίδα 41 - IN a plain triangle, the fum of any two fides is to their difference, as the tangent of half the fum of the angles at the bafe, to the tangent of half their difference.
Σελίδα 39 - In any triangle, the sides are proportional to the sines of the opposite angles, ie. t abc sin A sin B sin C...
Σελίδα ix - KCML, the sum of the two parallelograms or square BCMH ; therefore the sum of the squares on AB and AC is equal to the square on BC.
Σελίδα 5 - AED, is equal to two right angles ; that is, the sum of the angles...
Σελίδα 5 - Thro' C, let CE be drawn parallel to AB ; then since BD cuts the two parallel lines BA, CE ; the angle ECD = B, (by part 3, of the last theo.) and again, since AC cuts the same parallels, the angle ACE = A (by part 2. of the last.) Therefore ECD + ACE = ACD =1 B + AQED THEOREM V. In any triangle ABC, all the three angles taken together are equal to two right angles, viz.
Σελίδα 53 - IT is well known, that the longitude of any place is an arch, of the equator, intercepted between the firft meridian and the meridian of that place ; and that this arch is proportional to the quantity of time that the fun requires to move from the one meridian to the other ; which is at the rate of 24 hours for 360 degrees; one hour for 15 degrees; one minute of time for.