Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in an Appendix, the Theory of ProjectionBaldwin and Cradock, 1830 - 272 sider |
Inni boken
Resultat 1-5 av 100
Side 12
... Hence , if two straight lines be paral- lel , the perpendiculars drawn from the points of the one to the other , must all That of Euclid ( the famous twelfth axiom , see 15. Cor . 4. ) is the converse of our eighth proposition , and ...
... Hence , if two straight lines be paral- lel , the perpendiculars drawn from the points of the one to the other , must all That of Euclid ( the famous twelfth axiom , see 15. Cor . 4. ) is the converse of our eighth proposition , and ...
Side 13
... hence the converse , because ( 14. Cor . 2. ) only one parallel can be drawn through the same point to the same straight line . That which is given in the text , however , seems preferable , as pointing out the connexion of the ...
... hence the converse , because ( 14. Cor . 2. ) only one parallel can be drawn through the same point to the same straight line . That which is given in the text , however , seems preferable , as pointing out the connexion of the ...
Side 29
... hence the passage is easy to the division of the rectilineal figure ; for it is evident ( 53. ) that , what- ever be the point L taken in AK , the figure ABCD N , constructed as above , will be equal to the triangle A B L , and will ...
... hence the passage is easy to the division of the rectilineal figure ; for it is evident ( 53. ) that , what- ever be the point L taken in AK , the figure ABCD N , constructed as above , will be equal to the triangle A B L , and will ...
Side 30
... hence a given triangle or rectilineal figure may be divided into any number of equal parts , by straight lines drawn from a given point in one of its sides . PROP . 57. Prob . 16. ( Euc . i . 44. ) Upon a given base BD to describe a ...
... hence a given triangle or rectilineal figure may be divided into any number of equal parts , by straight lines drawn from a given point in one of its sides . PROP . 57. Prob . 16. ( Euc . i . 44. ) Upon a given base BD to describe a ...
Side 31
... Hence a square may be de- scribed , which shall be equal to the sum of two , three , or any number of given rectilineal figures ( 58 Cor . ) . BOOK II . - $ 1 . Ratios of Commensurable Magni- tudes - §2 . Proportion of Commen- surable ...
... Hence a square may be de- scribed , which shall be equal to the sum of two , three , or any number of given rectilineal figures ( 58 Cor . ) . BOOK II . - $ 1 . Ratios of Commensurable Magni- tudes - §2 . Proportion of Commen- surable ...
Andre utgaver - Vis alle
Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ... Pierce Morton Uten tilgangsbegrensning - 1835 |
Geometry, Plane, Solid, and Spherical, in Six Books: To Which Is Added, in ... Pierce Morton Ingen forhåndsvisning tilgjengelig - 2023 |
Geometry, Plane, Solid, and Spherical, in Six Books: To Which Is Added, in ... Pierce Morton Ingen forhåndsvisning tilgjengelig - 2013 |
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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.
Side 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.
Side 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...
Side 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.
Side 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.
Side 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.
Side 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.
Side 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.
Side 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.
Side 264 - IF two straight lines cut one another, the vertical, or opposite, angles shall be equal.