Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce Morton] 1830. Elements of trigonometry, by W. Hopkins. 1833. Elements of spherical trigonometry, by A. De Morgan. A treatise on algebraical geometry, by S.W. Waud. 1835Baldwin & Craddock, 1835 |
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Página 3
... evident , it became neces- sary , either to introduce distinct problems for the finding of such , or to point out the certainty of their existence by the way of theorem and corollary , as occa- sion offered . • The former plan ...
... evident , it became neces- sary , either to introduce distinct problems for the finding of such , or to point out the certainty of their existence by the way of theorem and corollary , as occa- sion offered . • The former plan ...
Página 4
... evident than they are already , without it : they are , therefore , called self - evident truths or axioms . They will be found of per- petual recurrence in demonstrating the propositions of the following sections , and are therefore ...
... evident than they are already , without it : they are , therefore , called self - evident truths or axioms . They will be found of per- petual recurrence in demonstrating the propositions of the following sections , and are therefore ...
Página 9
... evident that EG , that is , B C , is greater than E F. AA EFG produced to H and K. Then , because DF is equal to DG , the angles H FG , KGF , upon the other side of the base of the isosceles triangle D FG , are equal to In the third ...
... evident that EG , that is , B C , is greater than E F. AA EFG produced to H and K. Then , because DF is equal to DG , the angles H FG , KGF , upon the other side of the base of the isosceles triangle D FG , are equal to In the third ...
Página 11
... evident , that , the straight lines G H and FK being at right angles to the same straight line , and therefore ( by the first part of the proposition ) never meeting one ano- ther , the distance H K , of any two cor- responding points ...
... evident , that , the straight lines G H and FK being at right angles to the same straight line , and therefore ( by the first part of the proposition ) never meeting one ano- ther , the distance H K , of any two cor- responding points ...
Página 12
... evident than that of the text , viz . , that if the perpendiculars which are drawn from two points of one straight line to another be equal , any other perpendicular , drawn from a point of the first to the other , shall be equal to ...
... evident than that of the text , viz . , that if the perpendiculars which are drawn from two points of one straight line to another be equal , any other perpendicular , drawn from a point of the first to the other , shall be equal to ...
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ... Vista completa - 1835 |
Términos y frases comunes
A B C ABCD adjacent angles altitude apothem base BC bisect centre chord circum circumference circumscribed coincide common measure common section compounded cone conic section contained convex surface cylinder describe a circle diameter dihedral angle divided draw drawn edges equal angles equimultiples ference fore four magnitudes frustum given point given straight line gles harmonical harmonical mean Hence hyperbola hypotenuse inscribed join likewise locus meet parallel parallelogram parallelopiped pass pendicular pentagon perimeter perpendicular plane prism Prob produced PROP proposition pyramid quadrilateral radii radius rallel rectangle rectilineal figure regular polygon respectively right angles Scholium scribed segment sides A B similar solid angles sphere spherical angle square of A B straight lines A B tangent third three sides touch triangle ABC vertex vertical