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
... than AC ( I. 13. ) ; and since AD is equal to AB and BD , or to AB and BC , the two sides AB and A BC are together greater than the third side AC . C PROP . XV . THEOR . The difference between two 22 ELEMENTS OF GEOMETRY .
... than AC ( I. 13. ) ; and since AD is equal to AB and BD , or to AB and BC , the two sides AB and A BC are together greater than the third side AC . C PROP . XV . THEOR . The difference between two 22 ELEMENTS OF GEOMETRY .
Seite 23
... 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 and BC are ...
... 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 and BC are ...
Seite 51
... difference between given figures . The smaller rhomboid is here placed below the summit of the other , leaving the defect standing on the original base . PROP . IX . THEOR . A trapezoid is equivalent to the rectangle con- tained by its ...
... difference between given figures . The smaller rhomboid is here placed below the summit of the other , leaving the defect standing on the original base . PROP . IX . THEOR . A trapezoid is equivalent to the rectangle con- tained by its ...
Seite 55
... difference between two given squares . Let A and B be the sides of two squares ; it is required to find a square equivalent to their difference . Draw CD equal to the smaller line B , from its extre- mity erect ( I. 34. ) the indefinite ...
... difference between two given squares . Let A and B be the sides of two squares ; it is required to find a square equivalent to their difference . Draw CD equal to the smaller line B , from its extre- mity erect ( I. 34. ) the indefinite ...
Seite 57
... difference of two straight lines , is equivalent to the squares of those lines , diminished by twice their rectangle . Let AC be the difference of two straight lines AB and BC ; the square of AC is equivalent to the excess of the two ...
... difference of two straight lines , is equivalent to the squares of those lines , diminished by twice their rectangle . Let AC be the difference of two straight lines AB and BC ; the square of AC is equivalent to the excess of the two ...
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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