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 24
Seite 45
... rhomboid GC is equivalent to AE ( II . 1. cor . ) , and this again is , for the same reason , equivalent to HF ... rhomboids on equal bases and between the same parallels , are equivalent . Cor . 2. Hence triangles which have the same ...
... rhomboid GC is equivalent to AE ( II . 1. cor . ) , and this again is , for the same reason , equivalent to HF ... rhomboids on equal bases and between the same parallels , are equivalent . Cor . 2. Hence triangles which have the same ...
Seite 46
... rhomboids on the same or equal bases , have the same altitude . PROP . IV . PROB . To find a triangle equivalent to any rectilineal figure . Let it be required to reduce the five - sided figure ABCDE to a triangle , or to find a ...
... rhomboids on the same or equal bases , have the same altitude . PROP . IV . PROB . To find a triangle equivalent to any rectilineal figure . Let it be required to reduce the five - sided figure ABCDE to a triangle , or to find a ...
Seite 48
... rhomboid which has the same altitude and stands on 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 ...
... rhomboid which has the same altitude and stands on 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 ...
Seite 49
... rhomboids about the diagonal of a rhomboid , are equivalent . Let EI and HG be rhomboids about the diagonal of the rhomboid BD ; their complements BF and FD contain equal spaces . Since the diagonal AF bisects the rhomboid EI ( I. 26 ...
... rhomboids about the diagonal of a rhomboid , are equivalent . Let EI and HG be rhomboids about the diagonal of the rhomboid BD ; their complements BF and FD contain equal spaces . Since the diagonal AF bisects the rhomboid EI ( I. 26 ...
Seite 50
... rhomboid , containing a given space , and having an angle equal to K. E B IT Κ Construct ( II . 6. ) the rhomboid BF equivalent to the given rectilineal figure , and having an angle BEF equal to K ; produce EF until FG be e- qual to L ...
... rhomboid , containing a given space , and having an angle equal to K. E B IT Κ Construct ( II . 6. ) the rhomboid BF equivalent to the given rectilineal figure , and having an angle BEF equal to K ; produce EF until FG be e- qual to L ...
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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