The geometry, by T. S. Davies. Conic sections, by Stephen FenwickJ. Weale, 1853 |
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Αποτελέσματα 6 - 10 από τα 31.
Σελίδα 325
... Perspective . " By Charles Davies , Professor of Mathematics in the United States Military Academy . New York , second edition , royal 8vo . 1838. This work deserves my most cordial re- commendation to the English reader who wishes to ...
... Perspective . " By Charles Davies , Professor of Mathematics in the United States Military Academy . New York , second edition , royal 8vo . 1838. This work deserves my most cordial re- commendation to the English reader who wishes to ...
Σελίδα 339
... his work on Projection ) , but with limited success . 2. A cylinder is generated by a line , which z 2 GENERAL PRINCIPLES . 339 Practical Perspective Miscellaneous Propositions Isometric Projection Projections of the Sphere PERSPECTIVE.
... his work on Projection ) , but with limited success . 2. A cylinder is generated by a line , which z 2 GENERAL PRINCIPLES . 339 Practical Perspective Miscellaneous Propositions Isometric Projection Projections of the Sphere PERSPECTIVE.
Σελίδα 356
... , as do likewise the applications of the principles to actual contour operations , whether in respect to the surveys or the drawings . PERSPECTIVE . SECTION I. GENERAL PRINCIPLES . 1. THE business 356 TOPOGRAPHIC PROJECTION.
... , as do likewise the applications of the principles to actual contour operations , whether in respect to the surveys or the drawings . PERSPECTIVE . SECTION I. GENERAL PRINCIPLES . 1. THE business 356 TOPOGRAPHIC PROJECTION.
Σελίδα 357
Royal Military Academy, Woolwich. PERSPECTIVE . SECTION I. GENERAL PRINCIPLES . 1. THE business of Perspective , when divested of all irrelevant con- ditions , is , simply , to solve the following problem : - - Given the projections of a ...
Royal Military Academy, Woolwich. PERSPECTIVE . SECTION I. GENERAL PRINCIPLES . 1. THE business of Perspective , when divested of all irrelevant con- ditions , is , simply , to solve the following problem : - - Given the projections of a ...
Σελίδα 358
... perspective sought . Viewed as a constructive process , this is direct and simple : for , either implicitly or explicitly ( mostly the latter ) , the points g , g , are always given in every problem . No problem , indeed , is proposed ...
... perspective sought . Viewed as a constructive process , this is direct and simple : for , either implicitly or explicitly ( mostly the latter ) , the points g , g , are always given in every problem . No problem , indeed , is proposed ...
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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.