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 13
... tion , that if à C be only parallel to BD , AC and B D will be equal to one another . Therefore , the parts of parallel straight lines , which are intercepted by parallel straight lines , are equal to one another . PROP . 17. ( EUc . i ...
... tion , that if à C be only parallel to BD , AC and B D will be equal to one another . Therefore , the parts of parallel straight lines , which are intercepted by parallel straight lines , are equal to one another . PROP . 17. ( EUc . i ...
Página 14
... tion from the sides BC , EF : the angle ABC shall be equal to the angle DEF . B IN F Join B E , and produce it to G. Then , because A B , D E are parallel , and G B falls upon them , the exterior angle DEG is equal ( 15. Cor . 1. ) to ...
... tion from the sides BC , EF : the angle ABC shall be equal to the angle DEF . B IN F Join B E , and produce it to G. Then , because A B , D E are parallel , and G B falls upon them , the exterior angle DEG is equal ( 15. Cor . 1. ) to ...
Página 27
... tion of the problem ; for it is obvious that , if a second datum cannot be satis- fied within that range , the two will be inconsistent , and the solution impossible . In the mean time , it may be ob- served , the limits of the data are ...
... tion of the problem ; for it is obvious that , if a second datum cannot be satis- fied within that range , the two will be inconsistent , and the solution impossible . In the mean time , it may be ob- served , the limits of the data are ...
Página 31
... tion of the sides of Triangles- 5 . Proportion of the surfaces of Recti- lineal Figures - § 6. Properties of Lines divided Harmonically - § 7 . Problems . SECTION 1. Ratios of Commensurable Magnitudes . IN the language of Mathematics ...
... tion of the sides of Triangles- 5 . Proportion of the surfaces of Recti- lineal Figures - § 6. Properties of Lines divided Harmonically - § 7 . Problems . SECTION 1. Ratios of Commensurable Magnitudes . IN the language of Mathematics ...
Página 35
... tion . The reference is here to the first proposition of the present Book ; and generally , in such references as have no Roman numeral to indicate the Book , the current Book is always to be understood . shown that every one of the ...
... tion . The reference is here to the first proposition of the present Book ; and generally , in such references as have no Roman numeral to indicate the Book , the current Book is always to be understood . shown that every one of the ...
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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