The geometry, by T. S. Davies. Conic sections, by Stephen FenwickJ. Weale, 1853 |
Inni boken
Resultat 1-5 av 14
Side 221
... transverse and sectional planes is called the transverse axis of the conic section . When this line meets the section in two points ( as it evidently does in the ellipse and hyperbola ) , the portion of it intercepted between these ...
... transverse and sectional planes is called the transverse axis of the conic section . When this line meets the section in two points ( as it evidently does in the ellipse and hyperbola ) , the portion of it intercepted between these ...
Side 222
... transverse axis ; and the subnormal is the portion of the transverse axis intercepted between the normal and the ordinate at the same point . 13. The parameter , or ( as it is sometimes called ) the latus rectum of any diameter , is the ...
... transverse axis ; and the subnormal is the portion of the transverse axis intercepted between the normal and the ordinate at the same point . 13. The parameter , or ( as it is sometimes called ) the latus rectum of any diameter , is the ...
Side 223
... transverse plane , iAI the parabolic sectional plane , AH the transverse axis , KGL , MIN two sections of the cone perpendicular to its axis . Also let KL , MN be the intersec- tions of KGL , MIN with the transverse plane , and GFg ...
... transverse plane , iAI the parabolic sectional plane , AH the transverse axis , KGL , MIN two sections of the cone perpendicular to its axis . Also let KL , MN be the intersec- tions of KGL , MIN with the transverse plane , and GFg ...
Side 227
... transverse diameter of an ellipse are to one another as the rectangles of their abscissas . As in the parabola , let AVB be the transverse plane , AGIB the sectional plane ; AB the transverse axis , which in this case ( Def . 5 ) meets ...
... transverse diameter of an ellipse are to one another as the rectangles of their abscissas . As in the parabola , let AVB be the transverse plane , AGIB the sectional plane ; AB the transverse axis , which in this case ( Def . 5 ) meets ...
Side 228
... transverse diameter , and ab its conjugate ( Def . 6 ) ; then if ED be drawn perpendicular to AB , the rectangle ... transverse . Whence this property , the transverse diameter of an ellipse is to its parameter as the rectangle under the ...
... transverse diameter , and ab its conjugate ( Def . 6 ) ; then if ED be drawn perpendicular to AB , the rectangle ... transverse . Whence this property , the transverse diameter of an ellipse is to its parameter as the rectangle under the ...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick Royal Military Academy, Woolwich Uten tilgangsbegrensning - 1853 |
Vanlige uttrykk og setninger
ABC is equal ABCD angle ABC angle BAC axis bisected centre circle ABC circumference coincide cone conic section construction coordinate planes curve described Descriptive Geometry dicular dihedral angles directrix distance draw edges ellipse equal angles equiangular equimultiples given line given point given straight line greater hence inclination intersection join less Let ABC Let the plane line BC lines drawn magnitudes meet multiple opposite orthograph parabola parallel planes parallelogram parallelopiped perpen perpendicular plane MN plane of projection plane parallel plane PQ prisms profile angles profile plane projecting plane projector Prop Q. E. D. PROPOSITION ratio rectangle rectangle contained rectilineal figure remaining angle respectively right angles SCHOLIUM segment sides six right sphere spherical spherical angle tangent THEOR trace triangle ABC trihedral vertex vertical plane Whence Wherefore
Populære avsnitt
Side 19 - That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than the two right angles.
Side 35 - If a straight line be divided into two equal parts, and also into two unequal parts ; the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line.
Side 4 - AB; but things which are equal to the same are equal to one another...
Side 128 - EQUIANGULAR parallelograms have to one another the ratio which is compounded of the ratios of their sides.* Let AC, CF be equiangular parallelograms, having the angle BCD equal to the angle ECG : the ratio of the parallelogram AC to the parallelogram CF, is the same with the ratio which is compounded of the ratios of their sides. Let BG, CG, be placed in a straight line ; therefore DC and CE are also in a straight line (14.
Side 8 - If two triangles have two sides of the one equal to two sides of the...
Side 36 - If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced and the part of it produced...
Side 21 - BCD, and the other angles to the other angles, (4. 1.) each to each, to which the equal sides are opposite : therefore the angle ACB is equal to the angle CBD ; and because the straight line BC meets the two straight lines AC, BD, and makes the alternate angles ACB, CBD equal to one another, AC is parallel (27. 1 .) to DB ; and it was shown to be equal to it. Therefore straight lines, &c.
Side 65 - If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle, the angles which this line makes with the line touching the circle shall be equal to the angles which are in the alternate segments of the circle.
Side 4 - Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another.
Side 116 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.