A Popular Course of Pure and Mixed Mathematics ...: With Tables of Logarithms, and Numerous Questions for Exercise |
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Σελίδα xii
Cone , a kind of round pyramid , or a solid body having a circle for its base , and its sides formed by right lines drawn from the circumference of the base to a point at top , being its vertex . Conic Sections , the figures made by ...
Cone , a kind of round pyramid , or a solid body having a circle for its base , and its sides formed by right lines drawn from the circumference of the base to a point at top , being its vertex . Conic Sections , the figures made by ...
Σελίδα 283
... to the the same number of similar planes . point in which a perpendicular to XII . the plane , drawn from any point of A pyramid is a solid figure contained the first line above the plane , meets by planes that are constituted bethe ...
... to the the same number of similar planes . point in which a perpendicular to XII . the plane , drawn from any point of A pyramid is a solid figure contained the first line above the plane , meets by planes that are constituted bethe ...
Σελίδα 321
Every pyramid having a triangular base , may be divided into two equal and similar pyramids having triangular bases , and which are similar to the whole pyramid ; and into two equal prisms , which together are greater than half of the ...
Every pyramid having a triangular base , may be divided into two equal and similar pyramids having triangular bases , and which are similar to the whole pyramid ; and into two equal prisms , which together are greater than half of the ...
Σελίδα 322
And the pyramid of and the vertices the points H , D : bewhich the base is the triangle ABC , cause , if EF be joined , the prism har . and vertex the point D ) , is therefore ing the parallelogram EBFG for its similar ( B. 11.
And the pyramid of and the vertices the points H , D : bewhich the base is the triangle ABC , cause , if EF be joined , the prism har . and vertex the point D ) , is therefore ing the parallelogram EBFG for its similar ( B. 11.
Σελίδα 323
G M r each of them be divided into two equal in the pyramid ABCG are equa . ta pyramids similar to the whole , and one another , and also the two prisms into two equal prisms ; and let each in the pyramid DEFH equal to one of the ...
G M r each of them be divided into two equal in the pyramid ABCG are equa . ta pyramids similar to the whole , and one another , and also the two prisms into two equal prisms ; and let each in the pyramid DEFH equal to one of the ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD altitude axis base become called centre circle circumference co-efficient common cone consequently contained convergency curve denominator describe diameter difference distance divided draw drawn equal equation Examples expression factors feet figure fluxion four fraction function given gives greater half Hence infinite integral join less magnitudes manner measure meet meridian method Multiply opposite original parallel parallelogram pass perpendicular plane pole Prob probability Problem projection Prop proportional Proposition pyramid quantity radius ratio rectangle Reduce remaining represented result right angles root rule sides similar sine solid sphere square straight line subtract suppose taken tang tangent Theorem things third triangle vanishing whence Wherefore whole
Δημοφιλή αποσπάσματα
Σελίδα 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...
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 209 - THE straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle...
Σελίδα 284 - The bases of a cylinder are the circles described by the two revolving opposite sides of the parallelogram.
Σελίδα 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...
Σελίδα 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.