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 21
... describe the squares CD , AE ; produce E T G B D K H A M C DB to meet E F , or E F produced , in G ; and , through A , draw HK parallel to BD . Then , because the sides E B , B G , of the angle E B G , are perpendicular re- spectively ...
... describe the squares CD , AE ; produce E T G B D K H A M C DB to meet E F , or E F produced , in G ; and , through A , draw HK parallel to BD . Then , because the sides E B , B G , of the angle E B G , are perpendicular re- spectively ...
Página 24
... describe an equilateral triangle upon a given finite straight line A B. From the points A , B , as centres , with the com- mon radius A B , describe two circles , intersecting one another in C , and A join CA , C B. E B Then , because ...
... describe an equilateral triangle upon a given finite straight line A B. From the points A , B , as centres , with the com- mon radius A B , describe two circles , intersecting one another in C , and A join CA , C B. E B Then , because ...
Página 25
... describe ( 42. ) the equilateral triangle DA B , and join D C. Then , because the triangles DCA , DCB have the three sides of the one equal to the three sides of the other , each to each , ( 7. ) the angle DCA is equal to DCB ; and they ...
... describe ( 42. ) the equilateral triangle DA B , and join D C. Then , because the triangles DCA , DCB have the three sides of the one equal to the three sides of the other , each to each , ( 7. ) the angle DCA is equal to DCB ; and they ...
Página 26
... describe a circle , cutting A B in B , and from the centre B with a radius equal to D E , describe a circle cutting the last circle in F ; and join FA , F B. Then , because the triangles ECD , FAB have the three sides of the one equal ...
... describe a circle , cutting A B in B , and from the centre B with a radius equal to D E , describe a circle cutting the last circle in F ; and join FA , F B. Then , because the triangles ECD , FAB have the three sides of the one equal ...
Página 27
... describe a circle cutting CD in the points D , D ; and join ED , ED . Then , if the points D , D fall both on the same side of C with the angle , each of the triangles E C D will satisfy the given conditions ; but if they fall upon ...
... describe a circle cutting CD in the points D , D ; and join ED , ED . Then , if the points D , D fall both on the same side of C with the angle , each of the triangles E C D will satisfy the given conditions ; but if they fall upon ...
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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