Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious Notes and IllustrationsA. Constable & Company, 1817 - 432 Seiten |
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Seite 28
... to EF , for other- wise one of those angles becoming the exterior angle of a secondary triangle , would ( I. 8. ) be greater than the other . A Whence the triangles ABC , DEF are entirely coincident , 28 ELEMENTS OF GEOMETRY .
... to EF , for other- wise one of those angles becoming the exterior angle of a secondary triangle , would ( I. 8. ) be greater than the other . A Whence the triangles ABC , DEF are entirely coincident , 28 ELEMENTS OF GEOMETRY .
Seite 29
With an Appendix, and Copious Notes and Illustrations Sir John Leslie. Whence the triangles ABC , DEF are entirely ... Whence , in each of these three cases , the triangle ABC admits of a perfect adaptation with DEF . PROP . XXII ...
With an Appendix, and Copious Notes and Illustrations Sir John Leslie. Whence the triangles ABC , DEF are entirely ... Whence , in each of these three cases , the triangle ABC admits of a perfect adaptation with DEF . PROP . XXII ...
Seite 34
... Whence the side BC is equal to AD , D B and the angle ACB equal to CAD ; but these angles being alternate , BC must also be parallel to AD ( I. 22. cor . ) PROP . XXVIII . THEOR . Lines parallel to the 34 ELEMENTS OF GEOMETRY .
... Whence the side BC is equal to AD , D B and the angle ACB equal to CAD ; but these angles being alternate , BC must also be parallel to AD ( I. 22. cor . ) PROP . XXVIII . THEOR . Lines parallel to the 34 ELEMENTS OF GEOMETRY .
Seite 44
... Whence the tri- angles ABC and ADC , which are the halves of these rhom- boids ( I. 26. cor . ) , are likewise equivalent . Cor . Hence rhomboids on the same base and between the same parallels , are equivalent . PROP . II . THEOR ...
... Whence the tri- angles ABC and ADC , which are the halves of these rhom- boids ( I. 26. cor . ) , are likewise equivalent . Cor . Hence rhomboids on the same base and between the same parallels , are equivalent . PROP . II . THEOR ...
Seite 54
... Whence the square of AC is equi- valent to that of AD , and the straight line AC equal to AD . The two triangles ACB and ADB , having all the sides in the one respectively equal to those in the other , are therefore equal ( I. 2 ...
... Whence the square of AC is equi- valent to that of AD , and the straight line AC equal to AD . The two triangles ACB and ADB , having all the sides in the one respectively equal to those in the other , are therefore equal ( I. 2 ...
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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 |
Häufige Begriffe und Wortgruppen
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