Elements of Geometry and TrigonometryA. S. Barnes and Company, 1838 - 269 σελίδες |
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Σελίδα 234
... the horizontal line into the columns designated tang . , cotang . , sine , cosine , as the case may be ; the number so pointed out is the logarithm required . It will be seen , that the column designated sine 234 PLANE TRIGONOMETRY ,
... the horizontal line into the columns designated tang . , cotang . , sine , cosine , as the case may be ; the number so pointed out is the logarithm required . It will be seen , that the column designated sine 234 PLANE TRIGONOMETRY ,
Σελίδα 235
... cotang . , and the one designated cotang . , by tang . The angle found by taking the degrees at the top of the page , and the minutes from the first vertical column on the left , is the complement of the angle , found by taking the ...
... cotang . , and the one designated cotang . , by tang . The angle found by taking the degrees at the top of the page , and the minutes from the first vertical column on the left , is the complement of the angle , found by taking the ...
Σελίδα 236
... cotang blog . tang a + log . cotang a ; or , log . tang b - log . tang a = log . cotang a - log . cotang b . Now , if it were required to find the logarithmic sine of an arc expressed in degrees , minutes , and seconds , we have only to ...
... cotang blog . tang a + log . cotang a ; or , log . tang b - log . tang a = log . cotang a - log . cotang b . Now , if it were required to find the logarithmic sine of an arc expressed in degrees , minutes , and seconds , we have only to ...
Σελίδα 237
... cotang . 10.008688 . Cotang 44 ° 26 ' , next less in the table 10.008591 Tab . Diff . 421 ) 9700 ( 23 " Hence , 44 ° 26 ' - 23 " -44 ° 25 ′ 37 " is the arc corresponding to the given cotangent 10.008688 . PRINCIPLES FOR THE SOLUTION OF ...
... cotang . 10.008688 . Cotang 44 ° 26 ' , next less in the table 10.008591 Tab . Diff . 421 ) 9700 ( 23 " Hence , 44 ° 26 ' - 23 " -44 ° 25 ′ 37 " is the arc corresponding to the given cotangent 10.008688 . PRINCIPLES FOR THE SOLUTION OF ...
Σελίδα 48
... Cotang . 012345678 00.000000 ] 16.463726 501717 10.0000001 0.000000 ] Inmuite . 60 000000 00 6.463726501717 ... Cotang , Tang . M. M. Sine D. Cosine D. Tang . D. Cotang . 18 ( 0 Degree . ) A TABLE OF LOGARITHMIC.
... Cotang . 012345678 00.000000 ] 16.463726 501717 10.0000001 0.000000 ] Inmuite . 60 000000 00 6.463726501717 ... Cotang , Tang . M. M. Sine D. Cosine D. Tang . D. Cotang . 18 ( 0 Degree . ) A TABLE OF LOGARITHMIC.
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
adjacent altitude angle ACB angle BAC ar.-comp base multiplied bisect Book VII centre chord circ circumference circumscribed common cone consequently convex surface Cosine Cotang cylinder diagonal diameter dicular distance divided draw drawn equal angles equally distant equations equivalent feet figure find the area formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC logarithm number of sides opposite parallel parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE PROBLEM proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABCDE Scholium secant segment similar sine slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex
Δημοφιλή αποσπάσματα
Σελίδα 241 - In every plane triangle, the sum of two sides is to their difference as the tangent of half the sum of the angles opposite those sides is to the tangent of half their difference.
Σελίδα 19 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Σελίδα 232 - ... the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator.
Σελίδα 168 - The radius of a sphere is a straight line drawn from the centre to any point of the surface ; the diameter or axis is a line passing through this centre, and terminated on both sides by the surface.
Σελίδα 18 - America, but know that we are alive, that two and two make four, and that the sum of any two sides of a triangle is greater than the third side.
Σελίδα 169 - The convex surface of a cylinder is equal to the circumference of its base multiplied by its altitude, Fig.
Σελίδα 20 - In an isosceles triangle the angles opposite the equal sides are equal.
Σελίδα 86 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. A D A' Hyp. In triangles ABC and A'B'C', To prove AABC A A'B'C' A'B' x A'C ' Proof. Draw the altitudes BD and B'D'.
Σελίδα 225 - B) = cos A cos B — sin A sin B, (6a) cos (A — B) = cos A cos B + sin A sin B...
Σελίδα 168 - CIRCLE is a plane figure bounded by a curved line, all the points of which are equally distant from a point within called the centre; as the figure ADB E.