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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Σελίδα vi
... propositions only are mentioned : when corollaries or scholia are attached to any of the propositions , they are ... proposition , because A ' B ' and CD are , each of them at right angles to EF , A'B ' is parallel to C D. But A B is ...
... propositions only are mentioned : when corollaries or scholia are attached to any of the propositions , they are ... proposition , because A ' B ' and CD are , each of them at right angles to EF , A'B ' is parallel to C D. But A B is ...
Σελίδα 1
... proposition . When the reference is to a definition , as in the present instance , or to an axiom , the same is particularized by the initial syl- lable Def . or Ax . The most important definitions only , which are taken from Euclid ...
... proposition . When the reference is to a definition , as in the present instance , or to an axiom , the same is particularized by the initial syl- lable Def . or Ax . The most important definitions only , which are taken from Euclid ...
Σελίδα 3
... proposition of which kind is called a problem . A proposition has commonly the fol- lowing parts : - 1o . the enunciation , declaring what is to be proved or done ; 20. the construction , inserting the lines necessary thereto ; 30. the ...
... proposition of which kind is called a problem . A proposition has commonly the fol- lowing parts : - 1o . the enunciation , declaring what is to be proved or done ; 20. the construction , inserting the lines necessary thereto ; 30. the ...
Σελίδα 5
... proposition , because AB makes angles with C F upon one side of it , these angles , viz . A BC , A BF , are together equal to two right angles . But ABC , A B D are also equal to two right angles ; therefore , ( ax . 1. ) ABC , A BD ...
... proposition , because AB makes angles with C F upon one side of it , these angles , viz . A BC , A BF , are together equal to two right angles . But ABC , A B D are also equal to two right angles ; therefore , ( ax . 1. ) ABC , A BD ...
Σελίδα 6
... proposition , and of all cases of plane tri- angles , which are equal in every respect . PROP . 5. ( EUC . i . 26 , first part of . ) If two triangles have two angles of the one equal to two angles of the other , each to each , and ...
... proposition , and of all cases of plane tri- angles , which are equal in every respect . PROP . 5. ( EUC . i . 26 , first part of . ) If two triangles have two angles of the one equal to two angles of the other , each to each , and ...
Άλλες εκδόσεις - Προβολή όλων
Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ... Πλήρης προβολή - 1835 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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