Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in an Appendix, the Theory of ProjectionBaldwin and Cradock, 1830 - 272 σελίδες |
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Σελίδα 27
... similar process , A B may be divided into any other number of equal parts . Therefore , & c . It is convenient to draw the parallels DF , EG , & c . by making the angle A B a , equal to B A C ( 47. ) , taking B d , de , & c . each equal ...
... similar process , A B may be divided into any other number of equal parts . Therefore , & c . It is convenient to draw the parallels DF , EG , & c . by making the angle A B a , equal to B A C ( 47. ) , taking B d , de , & c . each equal ...
Σελίδα 29
... similar construction , any part required , for example a fifth , may be cut off from a given triangle or rectilineal figure , by a straight line drawn from one of its angles . in the case of the triangle , if the base BC be divided into ...
... similar construction , any part required , for example a fifth , may be cut off from a given triangle or rectilineal figure , by a straight line drawn from one of its angles . in the case of the triangle , if the base BC be divided into ...
Σελίδα 30
... similar construction , any part required may be cut off from a given triangle or rectilineal figure , by a straight line drawn from a given point in one of its sides . For we have but to make CBE the same part of C BA in the first case ...
... similar construction , any part required may be cut off from a given triangle or rectilineal figure , by a straight line drawn from a given point in one of its sides . For we have but to make CBE the same part of C BA in the first case ...
Σελίδα 35
... similar examination of any two given commensurable magnitudes , be taken . At every step of the process , the remainder , as R , is diminished by the fol- lowing remainder R , or by as many times R , as are contained in it , that is ...
... similar examination of any two given commensurable magnitudes , be taken . At every step of the process , the remainder , as R , is diminished by the fol- lowing remainder R , or by as many times R , as are contained in it , that is ...
Σελίδα 37
... are exactly similar , whatever numbers be substituted in the place of them ; and , accordingly , the general propositions are not less evident than if the reasoning had been con- ducted by general II . §.2 . ] 37 GEOMETRY .
... are exactly similar , whatever numbers be substituted in the place of them ; and , accordingly , the general propositions are not less evident than if the reasoning had been con- ducted by general II . §.2 . ] 37 GEOMETRY .
Άλλες εκδόσεις - Προβολή όλων
Geometry, Plane, Solid, and Spherical, in Six Books: To Which Is Added, in ... Pierce Morton Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2023 |
Geometry, Plane, Solid, and Spherical, in Six Books: To Which Is Added, in ... Pierce Morton Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2013 |
Συχνά εμφανιζόμενοι όροι και φράσεις
A B C a² b² ABCD altitude asymptote axes axis base bisected centre chord circle circumference circumscribed co-ordinates common section conic section contained convex surface curve cylinder describe diameter difference dihedral angle distance divided draw drawn ellipse equal angles equation frustum given line given point given straight line gles greater hence hyperbola hypotenuse inscribed intersection join Latus Rectum less likewise locus magnitudes meet parabola parallel parallelogram parallelopiped pass pendicular perimeter perpendicular perspective projection pole prism produced projection PROP pyramid radii radius ratio rectangle rectangular rectilineal figure regular polygon right angles Scholium segment similar solid angles solid content sphere spherical angle spherical arc spherical triangle square tangent tion touch triangle ABC vertex vertical y₁
Δημοφιλή αποσπάσματα
Σελίδα 196 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Σελίδα 64 - 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.
Σελίδα 20 - In every triangle, the square of the side subtending any of the acute angles, is less than the squares of the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular let fall upon it from the opposite angle, and the acute angle. Let ABC be any triangle, and the angle at B one of its acute angles ; and upon BC, one of the sides containing it, let fall the perpendicular...
Σελίδα 10 - 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.
Σελίδα 189 - ... shall be greater than the base of the other. Let ABC, DEF be two triangles, which have the two sides AB, AC, equal to the two DE, DF, each to each, viz.
Σελίδα 1 - A circle is a plane figure contained by one line, which is called the circumference, and is such that all straight lines drawn from a certain point within the figure to the circumference, are equal to one another.
Σελίδα 84 - The angle at the centre of a circle is double of the angle at the circumference, upon the same base, that is, upon the same part of the circumference.
Σελίδα 78 - 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 79 - EQUAL straight lines in a circle are equally distant from the centre ; and those which are equally distant from the centre, are equal to one another.
Σελίδα 264 - IF two straight lines cut one another, the vertical, or opposite, angles shall be equal.