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 80
... Tangents TA , TB which are drawn to a circle from the same point T , are equal to one another . For , CAT , CBT being ... tangent at either extremity of the diameter . Cor . 2. The straight line which bi- sects any chord at right angles ...
... Tangents TA , TB which are drawn to a circle from the same point T , are equal to one another . For , CAT , CBT being ... tangent at either extremity of the diameter . Cor . 2. The straight line which bi- sects any chord at right angles ...
Página 87
... tangent shall be equal to the angles which are contained in the alternate segments of the circle . Let the straight line A B touch the circle CDE in the point C , and from C let there be drawn the straight line CD cutting the circle ...
... tangent shall be equal to the angles which are contained in the alternate segments of the circle . Let the straight line A B touch the circle CDE in the point C , and from C let there be drawn the straight line CD cutting the circle ...
Página 88
... tangent is at right angles to the radius is an instance of the same kind . Others may be seen in the corollaries of the two following propositions , and in certain properties of tangents which will be found in the next section . PROP ...
... tangent is at right angles to the radius is an instance of the same kind . Others may be seen in the corollaries of the two following propositions , and in certain properties of tangents which will be found in the next section . PROP ...
Página 92
... tangent shall be a side of a regular polygon of the same num- ber of sides circumscribed about the circle . For ... tangents drawn through those points shall include a re- gular polygon of the same number of sides circumscribed about the ...
... tangent shall be a side of a regular polygon of the same num- ber of sides circumscribed about the circle . For ... tangents drawn through those points shall include a re- gular polygon of the same number of sides circumscribed about the ...
Página 110
... tangent PT drawn to a given circle PCD are to one another in a given ratio . " Take E the centre of the given circle ; join AE ; and , if PA is to be greater than PT , produce AE to F ( II . 55. ) so that AF may be to FE in the ...
... tangent PT drawn to a given circle PCD are to one another in a given ratio . " Take E the centre of the given circle ; join AE ; and , if PA is to be greater than PT , produce AE to F ( II . 55. ) so that AF may be to FE in the ...
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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