Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious Notes and IllustrationsA. Constable & Company, 1817 - 432 Seiten |
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Seite v
... propositions , not only beautiful in themselves , but which pave the way to the higher branches of Geometry , or ... proposition which has a distinct reference to practice . Some of the pro- blems annexed are of essential consequence ...
... propositions , not only beautiful in themselves , but which pave the way to the higher branches of Geometry , or ... proposition which has a distinct reference to practice . Some of the pro- blems annexed are of essential consequence ...
Seite 10
... , applied to each other , they wholly coincide ; they are equivalent , if , with- out coinciding , they yet contain the same space . A PROPOSITION is a distinct portion of abstract science . 10 ELEMENTS OF GEOMETRY .
... , applied to each other , they wholly coincide ; they are equivalent , if , with- out coinciding , they yet contain the same space . A PROPOSITION is a distinct portion of abstract science . 10 ELEMENTS OF GEOMETRY .
Seite 11
... proposition . A SCHOLIUM is an excursive remark on the nature and application of a train of reasoning . The operations in Geometry suppose the drawing of straight lines and the description of circles , or they require in practice the ...
... proposition . A SCHOLIUM is an excursive remark on the nature and application of a train of reasoning . The operations in Geometry suppose the drawing of straight lines and the description of circles , or they require in practice the ...
Seite 12
With an Appendix, and Copious Notes and Illustrations Sir John Leslie. PROPOSITION I. PROBLEM . To construct a triangle , of which the three sides are given . Let AB represent the base , and G , H two sides of the triangle which it is ...
With an Appendix, and Copious Notes and Illustrations Sir John Leslie. PROPOSITION I. PROBLEM . To construct a triangle , of which the three sides are given . Let AB represent the base , and G , H two sides of the triangle which it is ...
Seite 13
... proposition , in F the vertex of the triangle DFE . Consequently these two triangles , being rectilineal , must entirely coincide . The angle CAB is equal to EDF , ACB to DEF , and CBA to EFD ; the equal angles be- ing thus always ...
... proposition , in F the vertex of the triangle DFE . Consequently these two triangles , being rectilineal , must entirely coincide . The angle CAB is equal to EDF , ACB to DEF , and CBA to EFD ; the equal angles be- ing thus always ...
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Elements of Geometry, and Plane Trigonometry: With an Appendix, and Very ... University Professor Emeritus John Leslie, Sir Keine Leseprobe verfügbar - 2016 |
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ABCD adjacent angle altitude angle ABC angle ADB angle BAC base AC bisect centre chord circle circumference consequently construction contained angle cosine decagon denote describe diameter difference distance diverging lines divided draw equal to BC equilateral triangle equivalent to twice evidently exterior angle given greater half Hence hypotenuse inscribed isosceles triangle join let fall likewise measure parallel perpendicular point G polygon PROB PROP Proposition quadrilateral figure quantities radius ratio rectangle rectangle contained rectilineal figure rhomboid right angles right-angled triangle Scholium segments semicircle semiperimeter sequently side AC sinB sine square of AB square of AC straight line tangent THEOR tion triangle ABC twice the rectangle twice the square vertex vertical angle whence Wherefore