A Popular Course of Pure and Mixed Mathematics ...: With Tables of Logarithms, and Numerous Questions for ExerciseG. B. Whittaker, 1825 - 372 Seiten |
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Seite xiii
... Cylinder , a solid having two equal circular ends , and every plane section parallel to the ends , a circle equal to them also . Cylindroid , a solid resembling a cylinder , but differing from it , in having ellipses for its ends or ...
... Cylinder , a solid having two equal circular ends , and every plane section parallel to the ends , a circle equal to them also . Cylindroid , a solid resembling a cylinder , but differing from it , in having ellipses for its ends or ...
Seite 284
... cylinder are the circles described by the two revolving op- posite sides of the parallelogram . XIV . Similar cones and cylinders are those which have their axes and the dia- meters of their bases proportionals . XXV . A cube is a solid ...
... cylinder are the circles described by the two revolving op- posite sides of the parallelogram . XIV . Similar cones and cylinders are those which have their axes and the dia- meters of their bases proportionals . XXV . A cube is a solid ...
Seite 328
... cylinder , which has the same base , and is of an equal altitude with it . Let a cone have the same base with a cylinder , viz . the circle ABCD , and the same altitude . The cone is the third part. 328 K A Ꮮ G R E 0 posite to them ...
... cylinder , which has the same base , and is of an equal altitude with it . Let a cone have the same base with a cylinder , viz . the circle ABCD , and the same altitude . The cone is the third part. 328 K A Ꮮ G R E 0 posite to them ...
Seite 329
... cylinder ; that is , the cylinder is triple of the cone . If the cylinder be not triple of the cone , it must either be greater than the triple , or less than it . First , Let it be greater than the triple ; and de- scribe the square ...
... cylinder ; that is , the cylinder is triple of the cone . If the cylinder be not triple of the cone , it must either be greater than the triple , or less than it . First , Let it be greater than the triple ; and de- scribe the square ...
Seite 330
... cylinder ; and thus dividing each of the circumferences into two equal parts , and joining the points of divi sion and their extremities by straight lines , and upon the triangles erecting pyramids having their vertices the same with ...
... cylinder ; and thus dividing each of the circumferences into two equal parts , and joining the points of divi sion and their extremities by straight lines , and upon the triangles erecting pyramids having their vertices the same with ...
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Häufige Begriffe und Wortgruppen
ABC is equal altitude angle ABC angle BAC axis bisected centre circle ABCD circumference co-efficient cone conic section convergency curve cylinder described diameter divided draw equal angles equation equiangular equimultiples factors fluxion fore fraction geometrical progression given straight line gnomon greater Hence hyperbola join less Let ABC magnitudes multiple opposite parabola parallel parallelogram perpendicular plane angles polygon prism produced proportional pyramid Q. E. D. PROP Q. E. D. Proposition radius rectangle rectangle contained rectilineal figure remaining angle right angles segment shewn side BC similar sine solid angle solid parallelopiped spherical triangle square of AC subtract surd tang tangent Theorem third tiple triangle ABC vertex whence Wherefore
Beliebte Passagen
Seite 172 - If, from the ends of the side of a triangle, there be drawn two straight lines to a point within the triangle, these shall be less than, the other two sides of the triangle, but shall contain a greater angle. Let...
Seite 191 - If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line.
Seite 190 - If a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts, is equal to the rectangle contained by the two parts, together with the square of the aforesaid part.
Seite 196 - AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part.
Seite 192 - If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced and the part of it produced, together •with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced.
Seite 177 - That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than the two right angles.
Seite 209 - THE straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle...
Seite 284 - The bases of a cylinder are the circles described by the two revolving opposite sides of the parallelogram.
Seite 286 - 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. either the sides adjacent to the equal...
Seite 179 - Therefore all the angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides.