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 |
Dentro del libro
Resultados 1-5 de 42
Página 11
... sine of the angle A ; and the ratio of CM to CP is called the cosine of that angle ; or as they are usually written M MP C M = sin . A ; СР СР cos . A The ratio which the sine of an angle bears to its cosine is called the tangent of the ...
... sine of the angle A ; and the ratio of CM to CP is called the cosine of that angle ; or as they are usually written M MP C M = sin . A ; СР СР cos . A The ratio which the sine of an angle bears to its cosine is called the tangent of the ...
Página 12
... sine of that angle ; and in a similar manner each might be expressed in terms of any other . Thus we have 1+ ( tan . A ) 2 = 1 + ( sin . A ) 9 ( cos . A ) 2 ( cos . A ) + ( sin . A ) ( cos . A ) 2 * In some treatises , ( sin A ) is ...
... sine of that angle ; and in a similar manner each might be expressed in terms of any other . Thus we have 1+ ( tan . A ) 2 = 1 + ( sin . A ) 9 ( cos . A ) 2 ( cos . A ) + ( sin . A ) ( cos . A ) 2 * In some treatises , ( sin A ) is ...
Página 13
... sine of the arc AP B M : CM AT Bt СТ Ct A M Bm cosine tangent cotangent secant • cosecant versed sine coversed sine chord AP ( 17. ) If we denote the length of the arc A P subtending the angle A , by a , and that of the radius CP by r ...
... sine of the arc AP B M : CM AT Bt СТ Ct A M Bm cosine tangent cotangent secant • cosecant versed sine coversed sine chord AP ( 17. ) If we denote the length of the arc A P subtending the angle A , by a , and that of the radius CP by r ...
Página 16
... sine , co- sine , & c . , of an angle , or the same functions of the arc . Accordingly , we find that most writers on Trigonometry have frequently used the terms arc and angle almost indiscriminately . No ambiguity necessarily arises ...
... sine , co- sine , & c . , of an angle , or the same functions of the arc . Accordingly , we find that most writers on Trigonometry have frequently used the terms arc and angle almost indiscriminately . No ambiguity necessarily arises ...
Página 17
... sine , cosine , & c . as functions of the angle , as the essential ones of the science ; and do not wish there- fore at first to distract his attention by directing it particularly to the consideration of the somewhat complicated figure ...
... sine , cosine , & c . as functions of the angle , as the essential ones of the science ; and do not wish there- fore at first to distract his attention by directing it particularly to the consideration of the somewhat complicated figure ...
Otras ediciones - Ver todas
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