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 100
Página 7
... fore the latter is equal to the angle at G , that is , to the angle at A , as before . Therefore , & c . Cor . The two triangles are equal in every respect . ( 4. & 4 Cor . ) PROP . 8. ( EUC . i . 17. ) Any two angles of a triangle are ...
... fore the latter is equal to the angle at G , that is , to the angle at A , as before . Therefore , & c . Cor . The two triangles are equal in every respect . ( 4. & 4 Cor . ) PROP . 8. ( EUC . i . 17. ) Any two angles of a triangle are ...
Página 9
... fore , also , the side E G , that is B C , is greater than EF ( 9. ) . In the second case , it is at once evident that EG , that is , B C , is greater than E F. AA EFG produced to H and K. Then , because DF is equal to DG , the angles H ...
... fore , also , the side E G , that is B C , is greater than EF ( 9. ) . In the second case , it is at once evident that EG , that is , B C , is greater than E F. AA EFG produced to H and K. Then , because DF is equal to DG , the angles H ...
Página 10
... fore , if AC do not coincide with DF , but fall otherwise , as DG , there will be drawn from the point D to the line E F , upon the same side of the perpendicular , two straight lines that are equal to one ano- ther , which is ...
... fore , if AC do not coincide with DF , but fall otherwise , as DG , there will be drawn from the point D to the line E F , upon the same side of the perpendicular , two straight lines that are equal to one ano- ther , which is ...
Página 12
... fore , the triangles HEL and HFK having two angles of the one equal to two angles of the other , each to each , and their sides H E , H F , which lie be- tween the equal angles , also equal to one another , are equal in every respect ...
... fore , the triangles HEL and HFK having two angles of the one equal to two angles of the other , each to each , and their sides H E , H F , which lie be- tween the equal angles , also equal to one another , are equal in every respect ...
Página 13
... fore , the alternate angles ACB , DBC , are equal to one another ( 15. Cor . 2. ) . Again , because A B is parallel to CD , the alternate angles ABC , DCB are equal to one another ( 15. Cor . 2. ) . There- fore the triangles A B C ...
... fore , the alternate angles ACB , DBC , are equal to one another ( 15. Cor . 2. ) . Again , because A B is parallel to CD , the alternate angles ABC , DCB are equal to one another ( 15. Cor . 2. ) . There- fore the triangles A B C ...
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