Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in an Appendix, the Theory of ProjectionBaldwin and Cradock, 1830 - 272 Seiten |
Im Buch
Ergebnisse 1-5 von 100
Seite 4
... third magnitude . 10. Straight lines which pass through parts . 4. A straight line which bisects a given angle , B A ... third , and if one of them exceed the third by as much as the other falls short Authorities , or things having ...
... third magnitude . 10. Straight lines which pass through parts . 4. A straight line which bisects a given angle , B A ... third , and if one of them exceed the third by as much as the other falls short Authorities , or things having ...
Seite 5
... third side , of the one shall be equal to the base , or third side , of the other . Let ABC , DEF be two triangles , which have the two sides A B , A C , equal to the two sides D E , DF , each to each , viz . A B to D E , and A C to D F ...
... third side , of the one shall be equal to the base , or third side , of the other . Let ABC , DEF be two triangles , which have the two sides A B , A C , equal to the two sides D E , DF , each to each , viz . A B to D E , and A C to D F ...
Seite 6
... third angle BAC shall be equal to the third angle E D F. For , if the triangle A B C be applied to the triangle D E F , so that the point B may be upon E , and the straight line BC upon EF , the point C will coincide with the point F ...
... third angle BAC shall be equal to the third angle E D F. For , if the triangle A B C be applied to the triangle D E F , so that the point B may be upon E , and the straight line BC upon EF , the point C will coincide with the point F ...
Seite 8
... third side : and any side of a triangle is greater than the difference of the other two . Let A B C be a triangle : any two of its sides , A B and A C , shall be toge- ther greater than the third side BC ; and any side A B alone shall ...
... third side : and any side of a triangle is greater than the difference of the other two . Let A B C be a triangle : any two of its sides , A B and A C , shall be toge- ther greater than the third side BC ; and any side A B alone shall ...
Seite 12
... third be together less than two right angles , the two straight lines will meet one another , and , with the third , form a triangle , if produced far enough . Simson's demonstration of this axiom rests upon an assumption , which is ...
... third be together less than two right angles , the two straight lines will meet one another , and , with the third , form a triangle , if produced far enough . Simson's demonstration of this axiom rests upon an assumption , which is ...
Andere Ausgaben - Alle anzeigen
Geometry, Plane, Solid, and Spherical, in Six Books: To Which Is Added, in ... Pierce Morton Keine Leseprobe verfügbar - 2023 |
Geometry, Plane, Solid, and Spherical, in Six Books: To Which Is Added, in ... Pierce Morton Keine Leseprobe verfügbar - 2013 |
Häufige Begriffe und Wortgruppen
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
Beliebte Passagen
Seite 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.
Seite 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.
Seite 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...
Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 264 - IF two straight lines cut one another, the vertical, or opposite, angles shall be equal.