Elements of Geometry and Conic SectionsHarper & Brothers, 1857 - 226 sider |
Inni boken
Resultat 1-5 av 20
Side 188
... foci . 3. The center is the middle point of the straight line joining the foci . D F 4. The eccentricity is the distance from the center to either focus . Thus , let ABA'B ' be an ellipse , F and F the foci . Draw the line FF ' and ...
... foci . 3. The center is the middle point of the straight line joining the foci . D F 4. The eccentricity is the distance from the center to either focus . Thus , let ABA'B ' be an ellipse , F and F the foci . Draw the line FF ' and ...
Side 189
... foci . Thus , through the focus F / draw LL a double ordinate to the major axis , it will be the latus rectum of the ellipse . 14. A subtangent is that part of the axis produced which is in- cluded between a tangent and the ordinate ...
... foci . Thus , through the focus F / draw LL a double ordinate to the major axis , it will be the latus rectum of the ellipse . 14. A subtangent is that part of the axis produced which is in- cluded between a tangent and the ordinate ...
Side 190
... foci , is equal to the major axis . Let ADA ' be an ellipse , of which F , F are the foci , AA ' is the major axis , and D any point of the curve ; then will DF + DF ' be A equal to AA ' . For , by Def . 1 , the sum of the distances of ...
... foci , is equal to the major axis . Let ADA ' be an ellipse , of which F , F are the foci , AA ' is the major axis , and D any point of the curve ; then will DF + DF ' be A equal to AA ' . For , by Def . 1 , the sum of the distances of ...
Side 191
... foci of an ellipse , AA ' the major axis , and BB the minor axis ; draw the straight lines BF , BF ' ; then BF , A ' BF are each equal to AC . In the two right - angled trian- gles BCF , BCF ' , CF is equal to CF ' , and BC is common to ...
... foci of an ellipse , AA ' the major axis , and BB the minor axis ; draw the straight lines BF , BF ' ; then BF , A ' BF are each equal to AC . In the two right - angled trian- gles BCF , BCF ' , CF is equal to CF ' , and BC is common to ...
Side 192
... foci . Let F , F ' be the foci of an ellipse , and D any point of the curve ; if through the point D the line TT ' be drawn , making the angle TDF equal to T'DF ' , then will TT be a tangent to the ellipse at D. For if TT be not a ...
... foci . Let F , F ' be the foci of an ellipse , and D any point of the curve ; if through the point D the line TT ' be drawn , making the angle TDF equal to T'DF ' , then will TT be a tangent to the ellipse at D. For if TT be not a ...
Vanlige uttrykk og setninger
ABCD AC is equal allel altitude angle ABC angle ACB angle BAC base BCDEF bisected chord circle circumference cone 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 given angle greater Hence Prop hyperbola inscribed intersection join latus rectum less 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 radii radius ratio rectangle regular polygon right angles Prop Scholium segment side BC similar similar triangles solid angle sphere spherical triangle square subtangent tangent THEOREM triangle ABC triangle DEF vertex vertices VIII
Populære avsnitt
Side 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.
Side 60 - Any two rectangles are to each other as the products of their bases by their altitudes.
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 101 - When you have proved that the three angles of every triangle are equal to two right angles...
Side 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.
Side 37 - Proportional, when the ratio of the first to the second is equal to the ratio of the second to the third.
Side 32 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
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 30 - If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are together equal to two right angles.