The geometry, by T. S. Davies. Conic sections, by Stephen FenwickJ. Weale, 1853 |
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Resultat 1-5 av 24
Side 138
... pictures of the figures instead of models of them in books . The picture in a plane proposition has a similitude in its general features to the perfect one which the mind contemplates in its investigations ; but this is lost when we use ...
... pictures of the figures instead of models of them in books . The picture in a plane proposition has a similitude in its general features to the perfect one which the mind contemplates in its investigations ; but this is lost when we use ...
Side 240
... picture or projection of the object . This projection is the perspective of the object . ( b ) If any opaque figure be interposed between a light and a screen , the shadow of the figure upon the screen is the projection of the figure ...
... picture or projection of the object . This projection is the perspective of the object . ( b ) If any opaque figure be interposed between a light and a screen , the shadow of the figure upon the screen is the projection of the figure ...
Side 313
... , when they both fall within the limits of the picture . Draw any line y , d , to cut the horizontal traces of the given planes in Y1 d1 , and the horizontal projection a , B CONSTRUCTIONS RELATING TO THE PLANE , LINE , AND POINT . 313.
... , when they both fall within the limits of the picture . Draw any line y , d , to cut the horizontal traces of the given planes in Y1 d1 , and the horizontal projection a , B CONSTRUCTIONS RELATING TO THE PLANE , LINE , AND POINT . 313.
Side 357
... picture - plane ; E the place of the eye , given by the projectors EF , EO , or by FK , KO ; G similarly the place of " the point to be put in perspective , " given by the projectors GH , GM , or by ML , LH : then the problem is , to ...
... picture - plane ; E the place of the eye , given by the projectors EF , EO , or by FK , KO ; G similarly the place of " the point to be put in perspective , " given by the projectors GH , GM , or by ML , LH : then the problem is , to ...
Side 358
... picture a disadvantage which a draughtsman of very moderate practice can fully estimate . This disadvantage is , how- ever , common to most methods usually proposed , and is by no means peculiar to this ; at the same time , as a key to ...
... picture a disadvantage which a draughtsman of very moderate practice can fully estimate . This disadvantage is , how- ever , common to most methods usually proposed , and is by no means peculiar to this ; at the same time , as a key to ...
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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.