Elements of Geometry and Conic SectionsHarper, 1849 - 226 Seiten |
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Seite 10
... Parallel straight lines are such as are in the same plane , and which , being produced ever so far both ways , do not meet . 13. A plane figure is a plane terminated on all sides by lines either straight or curved . If the lines are ...
... Parallel straight lines are such as are in the same plane , and which , being produced ever so far both ways , do not meet . 13. A plane figure is a plane terminated on all sides by lines either straight or curved . If the lines are ...
Seite 11
... parallel . A trapezoid is that which has only two sides parallel . 18. The diagonal of a figure is a line B which joins the vertices of two angles not adjacent to each other . Thus , AC , AD , AE are diagonals . F E 19. An equilateral ...
... parallel . A trapezoid is that which has only two sides parallel . 18. The diagonal of a figure is a line B which joins the vertices of two angles not adjacent to each other . Thus , AC , AD , AE are diagonals . F E 19. An equilateral ...
Seite 13
... parallel to the same straight line . Explanation of Signs . For the sake of brevity , it is convenient to employ , to some extent , the signs of Algebra in Geometry . Those chiefly em- ployed are the following : The sign = denotes that ...
... parallel to the same straight line . Explanation of Signs . For the sake of brevity , it is convenient to employ , to some extent , the signs of Algebra in Geometry . Those chiefly em- ployed are the following : The sign = denotes that ...
Seite 26
... parallel , being produced , they C A B D must meet on one side or the other of AB . Let them be pro- duced , and meet in O ; then there will be two perpendicu lars , OA , OB , let fall from the same point , on the same straight line ...
... parallel , being produced , they C A B D must meet on one side or the other of AB . Let them be pro- duced , and meet in O ; then there will be two perpendicu lars , OA , OB , let fall from the same point , on the same straight line ...
Seite 27
... parallel ( Prop . XX . ) . Therefore , if a straight line , & c . Scholium . When a straight line intersects two parallel lines , the in- terior angles on the same side , are those which lie within the parallels , A and on the same side ...
... parallel ( Prop . XX . ) . Therefore , if a straight line , & c . Scholium . When a straight line intersects two parallel lines , the in- terior angles on the same side , are those which lie within the parallels , A and on the same side ...
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75 cents ABCD AC is equal allel altitude angle ABC angle ACB angle BAC Anthon's base BCDEF bisected chord circle circumference cone contained convex surface curve described diameter dicular draw drawn ellipse equal angles equal to AC equally distant equiangular equivalent exterior angle foci four right angles frustum greater Hence Prop hyperbola inscribed intersection join latus rectum Let ABC lines AC major axis mean proportional measured by half meet Muslin number of sides ordinate parabola parallelogram parallelopiped pendicular perimeter perpen perpendicular plane MN principal vertex prism PROPOSITION pyramid radii radius ratio rectangle regular polygon right angles Prop Scholium segment Sheep extra side AC similar slant height solid angle sphere spherical triangle square subtangent tangent THEOREM triangle ABC vertex vertices
Beliebte Passagen
Seite 60 - Any two rectangles are to each other as the products of their bases by their altitudes.
Seite 27 - VIf two triangles have two angles and the included side of the one, equal to two angles and the included side of the other, each to each, the...
Seite 11 - A rhombus, is that which has all its sides equal, but its angles are not right angles.
Seite 63 - IF a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the' rectangle contained by the parts.
Seite 18 - BC common to the two triangles, which is adjacent to their equal angles ; therefore their other sides shall be equal, each to each, and the third angle of the one to the third angle of the other, (26.
Seite 10 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it.
Seite 15 - If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line.
Seite 17 - If two triangles have two sides and the included angle of the one, equal to two sides and the included angle of the other, each to each, the two triangles will be equal.
Seite 148 - I.), that every section of a sphere made by a plane is a circle.