Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious Notes and IllustrationsA. Constable & Company, 1817 - 432 Seiten |
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Ergebnisse 6-10 von 99
Seite 15
... likewise equal ( I. 2. ) , and consequently IDK is equal to GAH . Cor . If the segments AG , AH be taken equal , the con- struction will be rendered simpler and more commodious . Schol . By the successive application of this problem an ...
... likewise equal ( I. 2. ) , and consequently IDK is equal to GAH . Cor . If the segments AG , AH be taken equal , the con- struction will be rendered simpler and more commodious . Schol . By the successive application of this problem an ...
Seite 19
... likewise greater than three right angles . 1 PROP . IX . THEOR . Any two angles of a triangle are together less than two right angles . The two angles BAC and BCA of the triangle ABC are together less than two right angles . For produce ...
... likewise greater than three right angles . 1 PROP . IX . THEOR . Any two angles of a triangle are together less than two right angles . The two angles BAC and BCA of the triangle ABC are together less than two right angles . For produce ...
Seite 20
... likewise equal . Let the triangle ABC have two equal angles BCA and BAC ; the opposite sides AB and BC are also equal . For if AB be not equal to CB , let it be equal to CD , and join AD . Comparing now the triangles BAC and DCA , the ...
... likewise equal . Let the triangle ABC have two equal angles BCA and BAC ; the opposite sides AB and BC are also equal . For if AB be not equal to CB , let it be equal to CD , and join AD . Comparing now the triangles BAC and DCA , the ...
Seite 27
... likewise greater than what is contained by the lat- ter . Let the triangles ABC and DEF have the sides AB and BC equal to DE and EF , but the base AC greater than DF ; the vertical angle ABC is greater than DEF . For if ABC be not ...
... likewise greater than what is contained by the lat- ter . Let the triangles ABC and DEF have the sides AB and BC equal to DE and EF , but the base AC greater than DF ; the vertical angle ABC is greater than DEF . For if ABC be not ...
Seite 28
... likewise in both DE and FE ; that is , it must fall upon the corresponding vertex E. The two triangles ABC and DEF , thus mu- tually adapting , are hence entirely equal . B ДА Next , let the equal sides be AB and DE , which are op ...
... likewise in both DE and FE ; that is , it must fall upon the corresponding vertex E. The two triangles ABC and DEF , thus mu- tually adapting , are hence entirely equal . B ДА Next , let the equal sides be AB and DE , which are op ...
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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