The geometry, by T. S. Davies. Conic sections, by Stephen FenwickJ. Weale, 1853 |
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Αποτελέσματα 6 - 10 από τα 100.
Σελίδα 243
... projection in only one point : that is , the projection of a point is a single point . 15. In every case of the projection of a straight line upon a plane , the projection is a single straight line . For , since all the projectors are ...
... projection in only one point : that is , the projection of a point is a single point . 15. In every case of the projection of a straight line upon a plane , the projection is a single straight line . For , since all the projectors are ...
Σελίδα 244
... projection , and the magnitude of its projector . Let ZaX ( first Fig . ) be the figure plane , and YaX the plane of projection ; and let A be the given point in it , whose projection on XaY is required to be found by a construction in ...
... projection , and the magnitude of its projector . Let ZaX ( first Fig . ) be the figure plane , and YaX the plane of projection ; and let A be the given point in it , whose projection on XaY is required to be found by a construction in ...
Σελίδα 245
... projection suppose the figure plane to be turned upon the region that contains the projection : but the mixture of the lines which are involved in delineating a figure and its projection , render the separation generally more convenient ...
... projection suppose the figure plane to be turned upon the region that contains the projection : but the mixture of the lines which are involved in delineating a figure and its projection , render the separation generally more convenient ...
Σελίδα 246
... projection . Then the projector will take the position Aa perpendicular to aA ' , as in the annexed diagram ; and a will be the distance of the projection a , from the trace aX ... projection of the given line . struction . 246 PROJECTIONS .
... projection . Then the projector will take the position Aa perpendicular to aA ' , as in the annexed diagram ; and a will be the distance of the projection a , from the trace aX ... projection of the given line . struction . 246 PROJECTIONS .
Σελίδα 247
... projections of B , A ; and the line a , b , is the projection sought . To find the inclination of the line AB to the plane of projec- tion , if we draw in the projecting plane of AB the line BC parallel to the plane of projection , this ...
... projections of B , A ; and the line a , b , is the projection sought . To find the inclination of the line AB to the plane of projec- tion , if we draw in the projecting plane of AB the line BC parallel to the plane of projection , this ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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.
Σελίδα 4 - AB; but things which are equal to the same are equal to one another...
Σελίδα 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.
Σελίδα 8 - If two triangles have two sides of the one equal to two sides of the...
Σελίδα 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...
Σελίδα 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.
Σελίδα 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.
Σελίδα 4 - Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another.
Σελίδα 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.