Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious Notes and IllustrationsA. Constable & Company, 1817 - 432 Seiten |
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Seite 18
... vertices C and D by a straight line cutting AB in the point E : AB is bisected in E. E B For the sides AC and AD of the triangle CAD being respectively equal to BC and BD of the triangle CBD , and the side CD common to them.both ; these ...
... vertices C and D by a straight line cutting AB in the point E : AB is bisected in E. E B For the sides AC and AD of the triangle CAD being respectively equal to BC and BD of the triangle CBD , and the side CD common to them.both ; these ...
Seite 28
... 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 - ` posite to the equal angles BCA and EFD . The triangle ABC being laid on DEF ...
... 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 - ` posite to the equal angles BCA and EFD . The triangle ABC being laid on DEF ...
Seite 35
... vertices . And since AC is parallel to DF , the exterior angle GAC is ( I. 22. ) equal to GDF ; and , D B A E C F for the same reason , GAB is equal to GDE ; there con- sequently remains the angle BAC equal to EDF . PROP . XXX . THEOR ...
... vertices . And since AC is parallel to DF , the exterior angle GAC is ( I. 22. ) equal to GDF ; and , D B A E C F for the same reason , GAB is equal to GDE ; there con- sequently remains the angle BAC equal to EDF . PROP . XXX . THEOR ...
Seite 43
... vertex upon the base or its ex- tension . 3. The altitude of a trapezoid is the perpendicular drawn from one of its parallel sides to the other . 4. The complements of rhomboids about the diagonal of a rhomboid , are the spaces required ...
... vertex upon the base or its ex- tension . 3. The altitude of a trapezoid is the perpendicular drawn from one of its parallel sides to the other . 4. The complements of rhomboids about the diagonal of a rhomboid , are the spaces required ...
Seite 44
... vertices B , D by a straight line , which pro- duce both ways ; and from A draw AE ( I. 23. ) parallel to CB , and from C draw CF parallel to AD . E BD Because the triangles ABC , ADC have the same altitude , the straight line EF is ...
... vertices B , D by a straight line , which pro- duce both ways ; and from A draw AE ( I. 23. ) parallel to CB , and from C draw CF parallel to AD . E BD Because the triangles ABC , ADC have the same altitude , the straight line EF is ...
Inhalt
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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