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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Resultat 1-5 av 100
Side 4
... given point in the same . B 6. A straight line , which makes with a given straight line , A B , at a given point , A , an angle equal to a given rec- tilineal angle , C. LL The following truths require no steps of reasoning to establish ...
... given point in the same . B 6. A straight line , which makes with a given straight line , A B , at a given point , A , an angle equal to a given rec- tilineal angle , C. LL The following truths require no steps of reasoning to establish ...
Side 24
... given finite straight line AB , which was required to be done . PROP . 43. Prob . 2. ( Euc . i . 10. ) To bisect a given finite straight line A B. Upon either side of A B ( 42. ) describe an equilateral triangle : join the vertices or ...
... given finite straight line AB , which was required to be done . PROP . 43. Prob . 2. ( Euc . i . 10. ) To bisect a given finite straight line A B. Upon either side of A B ( 42. ) describe an equilateral triangle : join the vertices or ...
Side 25
... given straight line AB , from a given point C without it . First method . Take any point D upon the other side of AB , and join CD : with the radius . C D , describe a circle cutting A B in the points A , B : bisect ( 43. ) AB in E ...
... given straight line AB , from a given point C without it . First method . Take any point D upon the other side of AB , and join CD : with the radius . C D , describe a circle cutting A B in the points A , B : bisect ( 43. ) AB in E ...
Side 26
... given angle may be divided into three , five , & c . equal parts . It is true that , by the description of other lines which are plane curves , ( as the hyperbola , con- choïd , and cissoïd , ) any given angle may be trisected , or ...
... given angle may be divided into three , five , & c . equal parts . It is true that , by the description of other lines which are plane curves , ( as the hyperbola , con- choïd , and cissoïd , ) any given angle may be trisected , or ...
Side 27
... given , of which one , at least , is a side . Case 1. Let the given parts and a side ; viz . A be two angles the angles A B , and the side CD . If the given side is to be interjacent or B E to lie between the given angles , make ( 47 ...
... given , of which one , at least , is a side . Case 1. Let the given parts and a side ; viz . A be two angles the angles A B , and the side CD . If the given side is to be interjacent or B E to lie between the given angles , make ( 47 ...
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ... Uten tilgangsbegrensning - 1835 |
Vanlige uttrykk og setninger
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