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 iii
... rectilineal figures 62 6. Of lines in harmonical progression 67 7. Problems 71 BOOK III . Section 1. First properties of the circle 78 2. Of angles in a circle 84 3. Rectangles under the segments of chords 88 4. Regular polygons , and ...
... rectilineal figures 62 6. Of lines in harmonical progression 67 7. Problems 71 BOOK III . Section 1. First properties of the circle 78 2. Of angles in a circle 84 3. Rectangles under the segments of chords 88 4. Regular polygons , and ...
Página v
... rectilineal plane figures . Definitions Axioms Prop . 1 4 27 5 [ 28 ] , omitting the general Scholium 6 7 Introductory part of Sect . 3 . 8 , omitting the Schol . 29 11 30 12 31 13 123456 6 2 32 , omitting 14 3 Cor . 3 15 34 16 35 17 ...
... rectilineal plane figures . Definitions Axioms Prop . 1 4 27 5 [ 28 ] , omitting the general Scholium 6 7 Introductory part of Sect . 3 . 8 , omitting the Schol . 29 11 30 12 31 13 123456 6 2 32 , omitting 14 3 Cor . 3 15 34 16 35 17 ...
Página 2
... rectilineal figure is any portion of a plane surface , which is in- cluded by right lines . These right lines are called the sides of the figure , and it is said to be trilateral , or quadrilateral , or multilateral , according as it ...
... rectilineal figure is any portion of a plane surface , which is in- cluded by right lines . These right lines are called the sides of the figure , and it is said to be trilateral , or quadrilateral , or multilateral , according as it ...
Página 8
... rectilineal figure Cor . 3. And , hence , it may easily be demonstrated , that if there be two rectili- neal figures A DC , D B C upon the same base BC , one of which other , the perimeter of wholly envelopes the the enveloping figure ...
... rectilineal figure Cor . 3. And , hence , it may easily be demonstrated , that if there be two rectili- neal figures A DC , D B C upon the same base BC , one of which other , the perimeter of wholly envelopes the the enveloping figure ...
Página 9
... rectilineal . 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 ...
... rectilineal . 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 ...
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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