Elements of Geometry and Conic SectionsHarper & brothers, 1860 - 234 sider |
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Side 10
... sides is the simples of all , and is called a triangle ; that of four sides is called a quadrilateral : that of five , a pentagon ; that of six , a hexagon , & c . 15. An equilateral triangle is one which has its three 10 GEOMETRY .
... sides is the simples of all , and is called a triangle ; that of four sides is called a quadrilateral : that of five , a pentagon ; that of six , a hexagon , & c . 15. An equilateral triangle is one which has its three 10 GEOMETRY .
Side 14
... four straight lines AC , CB , EG , GF , all equal to each other ; then will the line AB be equal to the line EF ( Axiom 2 ) . Let the line EF be applied to the line AB , so that the point E may be on A , and the point F on B ; then will ...
... four straight lines AC , CB , EG , GF , all equal to each other ; then will the line AB be equal to the line EF ( Axiom 2 ) . Let the line EF be applied to the line AB , so that the point E may be on A , and the point F on B ; then will ...
Side 17
... four angles formed at the point of intersection , are together equal to four right angles . Cor . 2. Hence , all the angles made by any number of straight lines meeting in one point , are together equal to four right angles ...
... four angles formed at the point of intersection , are together equal to four right angles . Cor . 2. Hence , all the angles made by any number of straight lines meeting in one point , are together equal to four right angles ...
Side 31
... four , as the figure has sides . Let ABCDE be any polygon ; then the sum of all its inte- rior angles A , B , C , D , E is equal to twice as many right an- gles , wanting four , as the figure has sides ( see next page ) . For , from any ...
... four , as the figure has sides . Let ABCDE be any polygon ; then the sum of all its inte- rior angles A , B , C , D , E is equal to twice as many right an- gles , wanting four , as the figure has sides ( see next page ) . For , from any ...
Side 32
... four right angles ( Prop . V. , Cor . 2 ) . Therefore the angles of the polygon are equal to twice as many right angles as the fig- ure has sides , wanting four right angles . A B Cor . 1. The sum of the angles of a quadrilateral is four ...
... four right angles ( Prop . V. , Cor . 2 ) . Therefore the angles of the polygon are equal to twice as many right angles as the fig- ure has sides , wanting four right angles . A B Cor . 1. The sum of the angles of a quadrilateral is four ...
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Vanlige uttrykk og setninger
ABCD AC is equal allel altitude angle ABC angle ACB angle BAC base BCDEF bisected chord circle circumference cone contained convex surface curve described diagonals diameter draw ellipse equal angles equal to AC equally distant equiangular equilateral equivalent exterior angle foci four right angles frustum given angle given point given straight line greater hyperbola hypothenuse inscribed intersect join latus rectum Let ABC lines AC major axis mean proportional measured by half meet number of sides ordinate parabola parallelogram parallelopiped pendicular perimeter perpen perpendicular plane MN principal vertex prism PROPOSITION pyramid quadrant radii radius ratio rectangle regular polygon right angles right angles Prop right-angled triangle Scholium segment side AC similar solid angle sphere spherical triangle square subtangent tangent THEOREM triangle ABC vertex vertices
Populære avsnitt
Side 30 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Side 60 - Any two rectangles are to each other as the products of their bases by their altitudes.
Side 11 - A rhombus, is that which has all its sides equal, but its angles are not right angles.
Side 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.
Side 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.
Side 20 - therefore, because in the triangles DBC, ACB, DB is equal to AC, and BC common to both, the two sides, DB, BC are equal to the two AC, CB, each to each ; and the angle DBC is equal to...
Side 15 - Wherefore, when a straight line, &c. QED PROP. XIV. THEOR. 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.
Side 148 - It will be shown (p. 7,) that every section of a sphere, made by a plane, is a circle...
Side 14 - The angles which one straight line makes with another upon one side of it, are either two right angles, or are together equal to two right angles.
Side 152 - THEOREM. The sum of the sides of a spherical polygon is less than the circumference of a great circle.