A Popular Course of Pure and Mixed Mathematics ...: With Tables of Logarithms, and Numerous Questions for ExerciseG. B. Whittaker, 1825 - 372 Seiten |
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Seite 459
... point M two elements Mm , Mm ' in one right line ; from which it fol- lows ... vanish , the radius of cur- vature must then be reduced to zero . M A P 41 ... points of inflexion if there are several of them . 42. When the ordinates ...
... point M two elements Mm , Mm ' in one right line ; from which it fol- lows ... vanish , the radius of cur- vature must then be reduced to zero . M A P 41 ... points of inflexion if there are several of them . 42. When the ordinates ...
Seite 521
... point of that line . Def . 12. The line produced by an original plane cutting the pic- ture , is simply termed the ... vanishing point of that line , and the distance between the vanishing point and the point of sight , is called the dis ...
... point of that line . Def . 12. The line produced by an original plane cutting the pic- ture , is simply termed the ... vanishing point of that line , and the distance between the vanishing point and the point of sight , is called the dis ...
Seite 522
... vanishing line is the hypothenuse of a right - angled triangle , whose base ... point of sight ( Def . 6 ) , the plane ODE to be the directing plane ... point ( Def . 13 ) , and V its vanishing point ( Def . 17 ) , BI is the intersec tion ...
... vanishing line is the hypothenuse of a right - angled triangle , whose base ... point of sight ( Def . 6 ) , the plane ODE to be the directing plane ... point ( Def . 13 ) , and V its vanishing point ( Def . 17 ) , BI is the intersec tion ...
Seite 523
... point of sight being the vertex of the optic cone . For , by the explanation of the principle in Def . 1 , since the ... vanishing point . All that has been said being clearly understood , and the definitions particularly , let fg , fig ...
... point of sight being the vertex of the optic cone . For , by the explanation of the principle in Def . 1 , since the ... vanishing point . All that has been said being clearly understood , and the definitions particularly , let fg , fig ...
Seite 524
... vanishing point ; for they have but one parallel common to them all , and , consequently , but one vanishing point . This is represented in fig . 1 , where the projection da and cb of the parallel lines DA and CB meet in their common ...
... vanishing point ; for they have but one parallel common to them all , and , consequently , but one vanishing point . This is represented in fig . 1 , where the projection da and cb of the parallel lines DA and CB meet in their common ...
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Häufige Begriffe und Wortgruppen
ABC is equal altitude angle ABC angle BAC axis bisected centre circle ABCD circumference co-efficient cone conic section convergency curve cylinder described diameter divided draw equal angles equation equiangular equimultiples factors fluxion fore fraction geometrical progression given straight line gnomon greater Hence hyperbola join less Let ABC magnitudes multiple opposite parabola parallel parallelogram perpendicular plane angles polygon prism produced proportional pyramid Q. E. D. PROP Q. E. D. Proposition radius rectangle rectangle contained rectilineal figure remaining angle right angles segment shewn side BC similar sine solid angle solid parallelopiped spherical triangle square of AC subtract surd tang tangent Theorem third tiple triangle ABC vertex whence Wherefore
Beliebte Passagen
Seite 172 - If, from the ends of the side of a triangle, there be drawn two straight lines to a point within the triangle, these shall be less than, the other two sides of the triangle, but shall contain a greater angle. Let...
Seite 191 - 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.
Seite 190 - If a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts, is equal to the rectangle contained by the two parts, together with the square of the aforesaid part.
Seite 196 - AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part.
Seite 192 - 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, together •with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced.
Seite 177 - 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.
Seite 209 - THE straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle...
Seite 284 - The bases of a cylinder are the circles described by the two revolving opposite sides of the parallelogram.
Seite 286 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz. either the sides adjacent to the equal...
Seite 179 - Therefore all the angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides.