Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious Notes and IllustrationsA. Constable & Company, 1817 - 432 Seiten |
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Seite 22
... THEOR . Two sides of a triangle are together greater than the third side . The two sides AB and BC of the triangle ABC are to- gether greater than the third side AC . For produce AB until DB be equal to the side BC , and join CD . B ...
... THEOR . Two sides of a triangle are together greater than the third side . The two sides AB and BC of the triangle ABC are to- gether greater than the third side AC . For produce AB until DB be equal to the side BC , and join CD . B ...
Seite 23
... THEOR . The difference between two sides of a triangle is less than the third side . Let the side AC be greater than AB , and from it cut off a part AE equal to AB ; the remainder EC is less than the third side BC . For the two sides AB ...
... THEOR . The difference between two sides of a triangle is less than the third side . Let the side AC be greater than AB , and from it cut off a part AE equal to AB ; the remainder EC is less than the third side BC . For the two sides AB ...
Seite 24
... THEOR , If straight lines be drawn from the same point to another straight line , the perpendicular is the shortest of them all ; the lines equidistant from it on both sides are equal ; and those more remote are greater than such as are ...
... THEOR , If straight lines be drawn from the same point to another straight line , the perpendicular is the shortest of them all ; the lines equidistant from it on both sides are equal ; and those more remote are greater than such as are ...
Seite 25
... THEOR . If two sides of one triangle be respectively equal to those of another , but contain a greater angle ; the base also of the former will be greater than that of the latter . In the triangles ABC and DEF , let the sides AB and BC ...
... THEOR . If two sides of one triangle be respectively equal to those of another , but contain a greater angle ; the base also of the former will be greater than that of the latter . In the triangles ABC and DEF , let the sides AB and BC ...
Seite 27
... THEOR . If two sides of one triangle be respectively e- qual to those of another , but stand on a greater base ; the angle contained by the former will be likewise greater than what is contained by the lat- ter . Let the triangles ABC ...
... THEOR . If two sides of one triangle be respectively e- qual to those of another , but stand on a greater base ; the angle contained by the former will be likewise greater than what is contained by the lat- ter . Let the triangles ABC ...
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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