Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious Notes and IllustrationsA. Constable & Company, 1817 - 432 Seiten |
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Seite 37
... Hence all the angles of a quadrilateral figure are equal to four right angles , those of a pentelateral figure equal to six right angles , and so forth ; increasing the ag- gregate by two right angles , for each additional side . - The ...
... Hence all the angles of a quadrilateral figure are equal to four right angles , those of a pentelateral figure equal to six right angles , and so forth ; increasing the ag- gregate by two right angles , for each additional side . - The ...
Seite 44
... of these rhom- boids ( I. 26. cor . ) , are likewise equivalent . Cor . Hence rhomboids on the same base and between the same parallels , are equivalent . PROP . II . THEOR . Triangles which have the 44 ELEMENTS OF GEOMETRY .
... of these rhom- boids ( I. 26. cor . ) , are likewise equivalent . Cor . Hence rhomboids on the same base and between the same parallels , are equivalent . PROP . II . THEOR . Triangles which have the 44 ELEMENTS OF GEOMETRY .
Seite 45
... Hence rhomboids on equal bases and between the same parallels , are equivalent . Cor . 2. Hence triangles which have the same vertex , and equal bases in the extension of the same straight line , are equivalent ; and hence straight ...
... Hence rhomboids on equal bases and between the same parallels , are equivalent . Cor . 2. Hence triangles which have the same vertex , and equal bases in the extension of the same straight line , are equivalent ; and hence straight ...
Seite 46
... Hence equivalent 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 ...
... Hence equivalent 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 ...
Seite 52
... is equal to AK . Hence the rectangle or rhomboid AM is equivalent to ABLK ( II . 2. cor . ) , since they stand on equal bases AD and AK , and between the M E same parallels DK and ML . But ABLK is ( 52 ELEMENTS OF GEOMETRY .
... is equal to AK . Hence the rectangle or rhomboid AM is equivalent to ABLK ( II . 2. cor . ) , since they stand on equal bases AD and AK , and between the M E same parallels DK and ML . But ABLK is ( 52 ELEMENTS OF GEOMETRY .
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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