Library of Useful Knowledge: Geometry, plane, solid, and spherical [by Pierce Morton] 1830. Elements of trigonometry, By W. Hopkins. Elements of spherical trigonometry, by A. De Morgan. A treatise on algebraical geometry, by S.W. Waud. 1835R. Baldwin, 1847 |
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Seite i
... CONE AND CYLINDER , IN WHICH CERTAIN GENERAL PROPERTIES OF THE CONIC SECTIONS ARE DEMONSTRATED BY HELP OF THE FOREGOING THEORY . PUBLISHED UNDER THE SUPERINTENDENCE OF THE SOCIETY FOR THE DIFFUSION OF USEFUL KNOWLEDGE . LONDON : BALDWIN ...
... CONE AND CYLINDER , IN WHICH CERTAIN GENERAL PROPERTIES OF THE CONIC SECTIONS ARE DEMONSTRATED BY HELP OF THE FOREGOING THEORY . PUBLISHED UNDER THE SUPERINTENDENCE OF THE SOCIETY FOR THE DIFFUSION OF USEFUL KNOWLEDGE . LONDON : BALDWIN ...
Seite iv
... cone 2. Surface and content of the sphere 3. Surfaces and contents of certain portions of the sphere BOOK VI . Page ... cone , or conic sections 208 214 III . Plane sections of the oblique cone , of the right cylinder , and of the ...
... cone 2. Surface and content of the sphere 3. Surfaces and contents of certain portions of the sphere BOOK VI . Page ... cone , or conic sections 208 214 III . Plane sections of the oblique cone , of the right cylinder , and of the ...
Seite vi
... Cone , and Prop . 1 Prop . 16 17 18 BOOK VI . Spherical Geometry . 32 13 Sphere . 2 33 , omitting Cor . 14 Definitions 3 1. and Cor . 2 . 15 Lem . 1 4 44 16 Lem . 2 5 45 17 Prop . 1 6 46 18 47 19 48 20 49 21 50 22 , omitting the Schol ...
... Cone , and Prop . 1 Prop . 16 17 18 BOOK VI . Spherical Geometry . 32 13 Sphere . 2 33 , omitting Cor . 14 Definitions 3 1. and Cor . 2 . 15 Lem . 1 4 44 16 Lem . 2 5 45 17 Prop . 1 6 46 18 47 19 48 20 49 21 50 22 , omitting the Schol ...
Seite 22
... Cone of its angles ; and from the angle A to the opposite side BC , or BC pro- duced , let there be drawn the perpen dicular AD : the square of A B shall be greater or less than the squares of A C , C B , by twice the rectangle BC , CD ...
... Cone of its angles ; and from the angle A to the opposite side BC , or BC pro- duced , let there be drawn the perpen dicular AD : the square of A B shall be greater or less than the squares of A C , C B , by twice the rectangle BC , CD ...
Seite 166
... Cone . - § 2. Sur- face and content of the Sphere . - § 3 . Surfaces and contents of certain por- tions of the Sphere . SECTION 1. - Of the Right Cylinder and Right Cone . Def . 1. A cylinder is a solid figure , the surface of which is ...
... Cone . - § 2. Sur- face and content of the Sphere . - § 3 . Surfaces and contents of certain por- tions of the Sphere . SECTION 1. - Of the Right Cylinder and Right Cone . Def . 1. A cylinder is a solid figure , the surface of which is ...
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Häufige Begriffe und Wortgruppen
A B C ABCD adjacent angles altitude angles equal apothem axis base bisected centre chord circum circumference circumscribed coincide common measure common section compounded cone conic section contained convex surface curve cylinder diameter dihedral angle distance divided draw drawn equal angles equimultiples ference fore four magnitudes frustum given point given straight line gles harmonical harmonical mean Hence hyperbola hypotenuse inscribed join likewise locus mean proportional meet parallel parallelogram parallelopiped pass pendicular perimeter perpendicular plane prism Prob produced PROP proposition pyramid quadrilateral radii radius rallel rectangle rectilineal figure regular polygon respectively right angles Scholium scribed segment similar solid angles sphere spherical angle spherical arc square of A B tangent third three sides touch triangle ABC vertex vertical