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 iv
... measure of solid angles 194 4. Problems 203 Part APPENDIX . I. Of projection , by lines diverging , and by lines parallel II . Of the plane sections of the right cone , or conic sections III . Plane sections of the oblique cone , of the ...
... measure of solid angles 194 4. Problems 203 Part APPENDIX . I. Of projection , by lines diverging , and by lines parallel II . Of the plane sections of the right cone , or conic sections III . Plane sections of the oblique cone , of the ...
Σελίδα 1
... measure . Hence it would appear that the measurement of land was the most important ( perhaps the only ) use to which this science was , in the first in- stance , applied . Egypt is described to have been its birth - place , where the ...
... measure . Hence it would appear that the measurement of land was the most important ( perhaps the only ) use to which this science was , in the first in- stance , applied . Egypt is described to have been its birth - place , where the ...
Σελίδα 12
... measure- ment for such a degree of conviction as it can afford . In fact , although it may be shown without difficulty , that certain straight lines will never meet one another ; the converse , viz . , that straight lines , which never ...
... measure- ment for such a degree of conviction as it can afford . In fact , although it may be shown without difficulty , that certain straight lines will never meet one another ; the converse , viz . , that straight lines , which never ...
Σελίδα 18
... measurement : a glazier measuring his glass by square inches , a carpenter his planks by square feet , a proprietor his land by acres , and a geographer the extent of countries by square miles . Because AC is the sum of A B and BC • [ I ...
... measurement : a glazier measuring his glass by square inches , a carpenter his planks by square feet , a proprietor his land by acres , and a geographer the extent of countries by square miles . Because AC is the sum of A B and BC • [ I ...
Σελίδα 31
... measure , or part of the first . Hence , also , one magnitude is said to measure another when it is contained in the other a certain number of times ex- actly . 3. Two magnitudes are said to be equimultiples of two others , when they ...
... measure , or part of the first . Hence , also , one magnitude is said to measure another when it is contained in the other a certain number of times ex- actly . 3. Two magnitudes are said to be equimultiples of two others , when they ...
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.