Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in an Appendix, the Theory of ProjectionBaldwin and Cradock, 1830 - 272 páginas |
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Página 13
... , & c . Cor . Hence it appears that the qua- drilaterals into which the parallelogram ABCD is divided in def . 23. , by lines drawn parallel to two adjacent sides PROP . 18 . If , of two angles in [ - §3 . ] 13 GEOMETRY .
... , & c . Cor . Hence it appears that the qua- drilaterals into which the parallelogram ABCD is divided in def . 23. , by lines drawn parallel to two adjacent sides PROP . 18 . If , of two angles in [ - §3 . ] 13 GEOMETRY .
Página 14
... divided into parts equal respectively to the two acute into two isosceles triangles . And , in angles , the triangle will be divided ( 6. ) the converse , the triangle being made up of two isosceles triangles , one of its angles is ...
... divided into parts equal respectively to the two acute into two isosceles triangles . And , in angles , the triangle will be divided ( 6. ) the converse , the triangle being made up of two isosceles triangles , one of its angles is ...
Página 16
... divided are equal to one another . Cor . 2. The diagonals of a rhombus bisect one another at right angles . For the triangles into which it is divided by either of its diagonals are isosceles tri- angles , of which that diagonal is the ...
... divided are equal to one another . Cor . 2. The diagonals of a rhombus bisect one another at right angles . For the triangles into which it is divided by either of its diagonals are isosceles tri- angles , of which that diagonal is the ...
Página 18
... divided into triangles ; and every triangle , being equal ( 26. Cor . ) to half the rectangle under its base and altitude , contains half as many square units as is denoted by the product of the numbers which express how often the ...
... divided into triangles ; and every triangle , being equal ( 26. Cor . ) to half the rectangle under its base and altitude , contains half as many square units as is denoted by the product of the numbers which express how often the ...
Página 19
... divided lines . PROP . 30. ( Euc . ii . 1. ) If there be two straight lines , one of which is divided into any number of parts , the rectangle contained by the two lines shall be equal to the sum of the rectangles contained by the undi ...
... divided lines . PROP . 30. ( Euc . ii . 1. ) If there be two straight lines , one of which is divided into any number of parts , the rectangle contained by the two lines shall be equal to the sum of the rectangles contained by the undi ...
Otras ediciones - Ver todas
Geometry, Plane, Solid, and Spherical, in Six Books: To Which Is Added, in ... Pierce Morton Sin vista previa disponible - 2023 |
Geometry, Plane, Solid, and Spherical, in Six Books: To Which Is Added, in ... Pierce Morton Sin vista previa disponible - 2013 |
Términos y frases comunes
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
Pasajes populares
Página 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.
Página 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.
Página 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...
Página 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.
Página 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.
Página 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.
Página 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.
Página 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.
Página 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.
Página 264 - IF two straight lines cut one another, the vertical, or opposite, angles shall be equal.