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 38
Seite 32
... let fall from any points E , F in the straight line AB upon its parallel CD , are equal ; and if these perpendiculars be equal , the straight lines AB and CD are parallel . For join EH : and because each of the interior angles EGH and ...
... let fall from any points E , F in the straight line AB upon its parallel CD , are equal ; and if these perpendiculars be equal , the straight lines AB and CD are parallel . For join EH : and because each of the interior angles EGH and ...
Seite 43
... let fall from the 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 ...
... let fall from the 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 ...
Seite 65
... Let the side AB of the triangle ABC be greater than BC ; and , having let fall the perpendicular BE , and bisect- ed AC in D , the excess of the square of AB above that of BC is equivalent to twice the rectangle contained by AC and DE ...
... Let the side AB of the triangle ABC be greater than BC ; and , having let fall the perpendicular BE , and bisect- ed AC in D , the excess of the square of AB above that of BC is equivalent to twice the rectangle contained by AC and DE ...
Seite 66
... let fall the perpendicular BE ( I. 6. ) ; and if the point D coincide with E , the triangle ABC being evidently ... fall upon C , the triangle is right- angled , and the squares of AB and BC are then equivalent to the square of AC , and ...
... let fall the perpendicular BE ( I. 6. ) ; and if the point D coincide with E , the triangle ABC being evidently ... fall upon C , the triangle is right- angled , and the squares of AB and BC are then equivalent to the square of AC , and ...
Seite 74
... a chord , likewise bisects it ; and , conversely , the straight line which joins the centre with the middle of a chord , is perpendicu- lar to it . The perpendicular let fall from the centre C upon the 74 ELEMENTS OF GEOMETRY .
... a chord , likewise bisects it ; and , conversely , the straight line which joins the centre with the middle of a chord , is perpendicu- lar to it . The perpendicular let fall from the centre C upon the 74 ELEMENTS OF GEOMETRY .
Inhalt
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101 | |
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128 | |
142 | |
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365 | |
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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