Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious Notes and IllustrationsA. Constable & Company, 1817 - 432 Seiten |
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Seite 40
... half of CDB . But the triangle BDC being isosceles , the angle CBD is equal to BCD ; consequently the angles DBF and DBC are the halves of the vertical and base angles of BDC , and therefore ( I. 30. ) the whole angle CBF is the half of ...
... half of CDB . But the triangle BDC being isosceles , the angle CBD is equal to BCD ; consequently the angles DBF and DBC are the halves of the vertical and base angles of BDC , and therefore ( I. 30. ) the whole angle CBF is the half of ...
Seite 48
... half the base . The triangle ABC is equivalent to the rhomboid DEFC , which stands on half the base DC , but has the same alti- tude . B For join BD and EC . The triangles ABD and DBC having the same vertex and equal bases , are ( II ...
... half the base . The triangle ABC is equivalent to the rhomboid DEFC , which stands on half the base DC , but has the same alti- tude . B For join BD and EC . The triangles ABD and DBC having the same vertex and equal bases , are ( II ...
Seite 51
... half the sum of BC and AD . Wherefore the rectangle contained by the altitude of the trapezoid and half the sum of its pa- rallel sides , is equivalent to the rhomboid BF ( II . 1. cor . ) ; but the rhomboid EG is equivalent to the ...
... half the sum of BC and AD . Wherefore the rectangle contained by the altitude of the trapezoid and half the sum of its pa- rallel sides , is equivalent to the rhomboid BF ( II . 1. cor . ) ; but the rhomboid EG is equivalent to the ...
Seite 59
... half line AC , is equivalent to the square of CD , which is made up of the half line and the produced part . For AD is the sum of AC , CD , and DB is their difference ; whence A C the rectangle AD , DB is equivalent to B D the excess of ...
... half line AC , is equivalent to the square of CD , which is made up of the half line and the produced part . For AD is the sum of AC , CD , and DB is their difference ; whence A C the rectangle AD , DB is equivalent to B D the excess of ...
Seite 60
... half their sum and of half their difference . Let AB , BC be two continuous straight lines , D the middle point of AC , and consequently AD half the sum of these lines and DB half their difference ; the squares of AB and BC are together ...
... half their sum and of half their difference . Let AB , BC be two continuous straight lines , D the middle point of AC , and consequently AD half the sum of these lines and DB half their difference ; the squares of AB and BC are together ...
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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