Elements of Geometry and Conic SectionsHarper, 1849 - 226 σελίδες |
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Σελίδα 188
... major axis is the diameter which passes through the foci ; and its extremities are called the principal vertices . 8. The minor axis is the diameter which is perpendicular to the major axis . Thus , produce the line FF to meet the curve ...
... major axis is the diameter which passes through the foci ; and its extremities are called the principal vertices . 8. The minor axis is the diameter which is perpendicular to the major axis . Thus , produce the line FF to meet the curve ...
Σελίδα 189
... major axis , is called the princi- pal parameter , or latus rectum . Thus , through the focus F draw LL ' a double ordinate to the major axis , it will be the latus rectum of the ellipse . 15. A subtangent is that part of the axis ...
... major axis , is called the princi- pal parameter , or latus rectum . Thus , through the focus F draw LL ' a double ordinate to the major axis , it will be the latus rectum of the ellipse . 15. A subtangent is that part of the axis ...
Σελίδα 190
... 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 any point of the curve ...
... 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 any point of the curve ...
Σελίδα 191
... axis , is equal to half the major axis . Let F and F be the 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 ...
... axis , is equal to half the major axis . Let F and F be the 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 ...
Σελίδα 193
... major axis . Let EE be a diameter conju- gate to DD ' , and let the lines DF , DF be drawn , and produced , if necessary , so as to meet EE ' in H and K ; then will DH or DK be equal to AC . Draw FG parallel to EE ' or TT . Then the ...
... major axis . Let EE be a diameter conju- gate to DD ' , and let the lines DF , DF be drawn , and produced , if necessary , so as to meet EE ' in H and K ; then will DH or DK be equal to AC . Draw FG parallel to EE ' or TT . Then the ...
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ELEMENTS OF GEOMETRY & CONIC S Elias 1811-1889 Loomis,Making of America Project Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
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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
Δημοφιλή αποσπάσματα
Σελίδα 60 - Any two rectangles are to each other as the products of their bases by their altitudes.
Σελίδα 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...
Σελίδα 11 - A rhombus, is that which has all its sides equal, but its angles are not right angles.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 148 - I.), that every section of a sphere made by a plane is a circle.