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 |
Im Buch
Ergebnisse 1-5 von 38
Seite 34
... compounded of the ratios of A to B , B to C , and C to D. Also , if K and L , M and N , P and Q , be any other magnitudes , and if the ra- tios of K to L , of M to N , and of P to Q , be the same respectively with the ratios of A to B ...
... compounded of the ratios of A to B , B to C , and C to D. Also , if K and L , M and N , P and Q , be any other magnitudes , and if the ra- tios of K to L , of M to N , and of P to Q , be the same respectively with the ratios of A to B ...
Seite 39
... compounded of two ratios be a ratio of equality , one of these must be the reciprocal of the other . For if there be three magni- tudes of the same kind A , B , and C , and if A be equal to C , the ratio of B to C must be the same with ...
... compounded of two ratios be a ratio of equality , one of these must be the reciprocal of the other . For if there be three magni- tudes of the same kind A , B , and C , and if A be equal to C , the ratio of B to C must be the same with ...
Seite 44
... compounded of any number of equal ratios in the same order , are equal to one another . " ( def . 12. ) Cor . 2. By ... compounded of any number of equal ratios , but in a PROP . [ 27 ] . Ratios which are compounded 44 [ II . § 2 ...
... compounded of any number of equal ratios in the same order , are equal to one another . " ( def . 12. ) Cor . 2. By ... compounded of any number of equal ratios , but in a PROP . [ 27 ] . Ratios which are compounded 44 [ II . § 2 ...
Seite 45
... compounded of the same ratios in a reverse order , is that of [ 26 ] . Cor . 1 . Let the ratio of A to D , therefore , be compounded of the ratios of A to B , of B to C , and of C to D , and let the ratio of A ' to D ' be compounded of ...
... compounded of the same ratios in a reverse order , is that of [ 26 ] . Cor . 1 . Let the ratio of A to D , therefore , be compounded of the ratios of A to B , of B to C , and of C to D , and let the ratio of A ' to D ' be compounded of ...
Seite 46
... compounded of two or of any other number of numerical ratios , when its antecedent is the product of all their an- tecedents , and its consequent the pro- duct of all their consequents : for the magnitudes whose ratio it denotes will in ...
... compounded of two or of any other number of numerical ratios , when its antecedent is the product of all their an- tecedents , and its consequent the pro- duct of all their consequents : for the magnitudes whose ratio it denotes will in ...
Andere Ausgaben - Alle anzeigen
Häufige Begriffe und Wortgruppen
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