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 - Mathematics |
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Page v
... Prop . 23 37 Prop . 38 , omitting the Lemmas in the Schol . ¡ Prop . 7 24 8 25 [ 9 ] 26 [ 10 ] 27 [ 11 ] 39 29 [ 12 ] 40 Definitions 30 131 41 Postulates 31 14 42 Axioms 32 [ 15 ] 43 Prop . 1 33 16 44 2 34 17 3 4 5 6 7 35 36 , omitting ...
... Prop . 23 37 Prop . 38 , omitting the Lemmas in the Schol . ¡ Prop . 7 24 8 25 [ 9 ] 26 [ 10 ] 27 [ 11 ] 39 29 [ 12 ] 40 Definitions 30 131 41 Postulates 31 14 42 Axioms 32 [ 15 ] 43 Prop . 1 33 16 44 2 34 17 3 4 5 6 7 35 36 , omitting ...
Page vi
Prop . 18 Prop . 2 19 20 21 2345 Prop . 32 33 34 Prop . 16 26 6 27 , omitting 7 28 Cor . 2 . 8 29 10 30 11 31 12 32 13 33 , omitting Cor . 14 1. and Cor . 2 . 15 35 BOOK V. 17 18 BOOK VI . Spherical Geometry . Of the Right Cylinder ...
Prop . 18 Prop . 2 19 20 21 2345 Prop . 32 33 34 Prop . 16 26 6 27 , omitting 7 28 Cor . 2 . 8 29 10 30 11 31 12 32 13 33 , omitting Cor . 14 1. and Cor . 2 . 15 35 BOOK V. 17 18 BOOK VI . Spherical Geometry . Of the Right Cylinder ...
Page 6
... PROP . 5. ( EUC . i . 26 , first part of . ) If two triangles have two angles of the one equal to two angles of the other , each to each , and likewise the interja- cent * sides equal ; their other sides shall be equal , each to each ...
... PROP . 5. ( EUC . i . 26 , first part of . ) If two triangles have two angles of the one equal to two angles of the other , each to each , and likewise the interja- cent * sides equal ; their other sides shall be equal , each to each ...
Page 7
... PROP . 7. ( EUc . i . 8. ) If two triangles have two sides of the one equal to two sides of the other , each to each , and have likewise their bases . equal , the angle contained by the two sides of the one shall be equal to the angle ...
... PROP . 7. ( EUc . i . 8. ) If two triangles have two sides of the one equal to two sides of the other , each to each , and have likewise their bases . equal , the angle contained by the two sides of the one shall be equal to the angle ...
Page 9
... PROP . 11. ( Euc . i . 24 & 25. ) If two triangles have two sides of the one equal to two sides of the other , each to each , but the angle which is contained by the two sides of the one greater than the angle which is contained by the ...
... PROP . 11. ( Euc . i . 24 & 25. ) If two triangles have two sides of the one equal to two sides of the other , each to each , but the angle which is contained by the two sides of the one greater than the angle which is contained by the ...
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Common terms and phrases
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