Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce Morton] 1830. Elements of trigonometry, by W. Hopkins. 1833. Elements of spherical trigonometry, by A. De Morgan. A treatise on algebraical geometry, by S.W. Waud. 1835Baldwin & Craddock, 1835 |
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Página 17
... positive . It will now be our object to show how these definitions and the formulæ which flow from them , for such angles and arcs , may be extended to those of any magnitude , considered as positive or negative . ( 22. ) Take the angle ...
... positive . It will now be our object to show how these definitions and the formulæ which flow from them , for such angles and arcs , may be extended to those of any magnitude , considered as positive or negative . ( 22. ) Take the angle ...
Página 18
... positive , the tangent of A P , will be properly represented by A T. Again , as B is the cotangent of A P , so Bt , is the cotangent of A P ,, which , since B has been considered positive , will be represented by -B ,. X , t B t m P P m ...
... positive , the tangent of A P , will be properly represented by A T. Again , as B is the cotangent of A P , so Bt , is the cotangent of A P ,, which , since B has been considered positive , will be represented by -B ,. X , t B t m P P m ...
Página 21
... positive and less than 90 ° . SECTION III . Trigonometrical Functions of the Sum and Difference of two Angles.— Formula resulting therefrom . THE formula which we shall now proceed to investigate are among the most important of ...
... positive and less than 90 ° . SECTION III . Trigonometrical Functions of the Sum and Difference of two Angles.— Formula resulting therefrom . THE formula which we shall now proceed to investigate are among the most important of ...
Página 25
... positive ; then must we have cos . A positive and nearly equal unity , and sin . A positive and very small , which conditions can only be satisfied by taking the signs for this case as follows : cos . A = { √√1 + sin . 2 A + √1 ~ sin ...
... positive ; then must we have cos . A positive and nearly equal unity , and sin . A positive and very small , which conditions can only be satisfied by taking the signs for this case as follows : cos . A = { √√1 + sin . 2 A + √1 ~ sin ...
Página 36
... positive or negative . Angle . 0 ° 0 ° to 90 ° 90 ° 90 ° to 180 ° 180 ° 180 ° to 270 ° 2700 270 ° to 360 ° Cosine . Tan . Secant . Cotan . Cosec . Ver - sine . Sine . 1 0 1 * 00 + -to ' ( 68. ) Let the since the 45 ° colllet . + 8 + 8 1 ...
... positive or negative . Angle . 0 ° 0 ° to 90 ° 90 ° 90 ° to 180 ° 180 ° 180 ° to 270 ° 2700 270 ° to 360 ° Cosine . Tan . Secant . Cotan . Cosec . Ver - sine . Sine . 1 0 1 * 00 + -to ' ( 68. ) Let the since the 45 ° colllet . + 8 + 8 1 ...
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ... Vista completa - 1835 |
Términos y frases comunes
A B C ABCD adjacent angles altitude apothem base BC bisect centre chord circum circumference circumscribed coincide common measure common section compounded cone conic section contained convex surface cylinder describe a circle diameter dihedral angle divided draw drawn edges equal angles equimultiples ference fore four magnitudes frustum given point given straight line gles harmonical harmonical mean Hence hyperbola hypotenuse inscribed join likewise locus meet parallel parallelogram parallelopiped pass pendicular pentagon perimeter perpendicular plane prism Prob produced PROP proposition pyramid quadrilateral radii radius rallel rectangle rectilineal figure regular polygon respectively right angles Scholium scribed segment sides A B similar solid angles sphere spherical angle square of A B straight lines A B tangent third three sides touch triangle ABC vertex vertical