The Elements of Plane and Spherical Trigonometry ... |
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Resultat 1-5 av 62
Side 1
... sides and angles of plane triangles . 2. A triangle consists of six parts , viz . , three sides and three angles . The numerical values of any three of these parts being given , provided that one of them is a side , the values of the ...
... sides and angles of plane triangles . 2. A triangle consists of six parts , viz . , three sides and three angles . The numerical values of any three of these parts being given , provided that one of them is a side , the values of the ...
Side 3
... side opposite to that angle of which we wish to express any of the trigonometrical ratios . Thus with respect to P , CN must be considered as the per- pendicular , and PN as the base of the triangle . CN ; from which we form the ...
... side opposite to that angle of which we wish to express any of the trigonometrical ratios . Thus with respect to P , CN must be considered as the per- pendicular , and PN as the base of the triangle . CN ; from which we form the ...
Side 18
... side of the equation must be made to produce the same result , positive , or negative , as those on the other side ; as in the following example : - Given , B = 100 ° , and C = 100 ° , and C 120 ° , to determine whether Cos . A is ...
... side of the equation must be made to produce the same result , positive , or negative , as those on the other side ; as in the following example : - Given , B = 100 ° , and C = 100 ° , and C 120 ° , to determine whether Cos . A is ...
Side 40
... sides , and three angles . Any three of these being given ( provided that one is a side ) the others may be found . 2. The angles of the triangle are generally denoted by A , B , C , and the sides respectively opposite to them by a , b ...
... sides , and three angles . Any three of these being given ( provided that one is a side ) the others may be found . 2. The angles of the triangle are generally denoted by A , B , C , and the sides respectively opposite to them by a , b ...
Side 41
... side of a triangle is equal to the sum of the squares of the other two sides , minus twice the product of those two sides , and the cosine of the angle included by them . First , let the triangle ABC be acute angled , C being an acute ...
... side of a triangle is equal to the sum of the squares of the other two sides , minus twice the product of those two sides , and the cosine of the angle included by them . First , let the triangle ABC be acute angled , C being an acute ...
Andre utgaver - Vis alle
The Elements of Plane and Spherical Trigonometry Alfred Challice Johnson Ingen forhåndsvisning tilgjengelig - 2019 |
The Elements of Plane and Spherical Trigonometry: Theoretical and Practical ... Alfred Challice Johnson Ingen forhåndsvisning tilgjengelig - 2018 |
The Elements of Plane and Spherical Trigonometry: Theoretical and Practical ... Alfred Challice Johnson Ingen forhåndsvisning tilgjengelig - 2015 |
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Populære avsnitt
Side 85 - IF a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles.
Side 85 - The angles which one straight line makes with another upon one side of it, are either two right angles, or are together equal to two right angles.
Side 75 - To raise a number to any power, multiply the Log. of the number by the index of the power; the result will be the Log.
Side 62 - Suppose a* =n, then x is called the logarithm of n to the böge a ; thus the logarithm of a number to a given base is the index of the power to which the base must be raised to be equal to the number. The- logarithm of n to the base a is written Iog0 n ; thus log„ii = a; expresses the same relation, as a* = n.
Side 85 - IF a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another; and the exterior angle equal to the interior and opposite upon...
Side 40 - The sides of a triangle are proportional to the sines of the opposite angles.
Side 72 - See the table at the end of this number. To find from the table the length of any given number of degrees and minutes, look for the degrees at the top of the page, and the minutes on the side; then against the minutes, and under the degrees, will be the length of the arc in nautical miles. 67. Meridional Difference of Latitude. — An arc of Mercator's meridian contained between two parallels of latitude, is called meridional difference of latitude. It is found by subtracting...
Side 53 - The RADIUS of a sphere is a straight line drawn from the centre to any point in surface, as the line C B.
Side 41 - In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides, minus twice the product of one of these sides and the projection of the other side upon it.
Side 76 - Divide the logarithm of the number by the index of the root; the result will be the logarithm of the root. EXAMPLE.— Extract (a) the square root of 77,851; (6) the cube root of 698,970; (c) the 2.4 root of 8,964,300.