Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious Notes and IllustrationsA. Constable & Company, 1817 - 432 Seiten |
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Ergebnisse 1-5 von 93
Seite 33
... AB ( I. 22. cor . ) parallel to CD ; and , for the same reason , the angle CAD being equal to ACB , the side AD is parallel to BC . Cor . Hence the angles of a square or rectangle are all of them right angles ; for the opposite sides ...
... AB ( I. 22. cor . ) parallel to CD ; and , for the same reason , the angle CAD being equal to ACB , the side AD is parallel to BC . Cor . Hence the angles of a square or rectangle are all of them right angles ; for the opposite sides ...
Seite 40
... AB , with- out producing that line . In AB take any point C , and on BC ( I. 1. cor . ) de- scribe an isosceles ... square . Let AB be the side of the square which it is required to construct . From the extremity B draw , by the last ...
... AB , with- out producing that line . In AB take any point C , and on BC ( I. 1. cor . ) de- scribe an isosceles ... square . Let AB be the side of the square which it is required to construct . From the extremity B draw , by the last ...
Seite 41
... square required . D B For , by this construction , the figure has all its sides e- qual , and one of its angles ABC ... AB into a given number of equal parts , suppose five . N From the point A and at any oblique angle with AB , draw a ...
... square required . D B For , by this construction , the figure has all its sides e- qual , and one of its angles ABC ... AB into a given number of equal parts , suppose five . N From the point A and at any oblique angle with AB , draw a ...
Seite 52
... square described on the hypotenuse of a right - angled triangle , is ... AB and BC . For produce DA to K , and through B draw MBL pa- rallel to DA ... AB , are equal ( 1. 20. ) , and consequently the side AC is equal to AK . Hence the ...
... square described on the hypotenuse of a right - angled triangle , is ... AB and BC . For produce DA to K , and through B draw MBL pa- rallel to DA ... AB , are equal ( 1. 20. ) , and consequently the side AC is equal to AK . Hence the ...
Seite 53
... square of BC . Consequently the whole square , ADEC , of the hypotenuse , contains the same space as both together of the squares described on the two sides AB and BC . Cor . Hence the square of a side AB is equivalent to the rectangle ...
... square of BC . Consequently the whole square , ADEC , of the hypotenuse , contains the same space as both together of the squares described on the two sides AB and BC . Cor . Hence the square of a side AB is equivalent to the rectangle ...
Inhalt
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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