The Elements of EuclidLongmans, Green and Company, 1866 - 376 sider |
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Resultat 1-5 av 98
Side
... less reason for retaining this latter . I have throughout at- tended carefully to the punctuation , and , I hope , have considerably improved it . It will be found that the different steps of the reasoning are dis- tinctly separated by ...
... less reason for retaining this latter . I have throughout at- tended carefully to the punctuation , and , I hope , have considerably improved it . It will be found that the different steps of the reasoning are dis- tinctly separated by ...
Side 2
... less than a right angle . XIII . A term or boundary is the extremity of any thing . XIV . A figure is that which is enclosed by one or more boundaries . XV . A circle is a plane figure contained by one line , which is called the circum ...
... less than a right angle . XIII . A term or boundary is the extremity of any thing . XIV . A figure is that which is enclosed by one or more boundaries . XV . A circle is a plane figure contained by one line , which is called the circum ...
Side 5
... less than two right angles , these straight lines , being continually produced , shall at length meet , upon that side on which are the angles that are less than two right angles . PROPOSITION I. PROBLEM . To describe an equilateral ...
... less than two right angles , these straight lines , being continually produced , shall at length meet , upon that side on which are the angles that are less than two right angles . PROPOSITION I. PROBLEM . To describe an equilateral ...
Side 7
... less . Let AB and C be the two given straight lines , whereof AB is the greater : it is required to cut off from AB the greater a part equal to C the less . From the point A draw the straight line AD equal to C ( 1. 2 ) ; and from the ...
... less . Let AB and C be the two given straight lines , whereof AB is the greater : it is required to cut off from AB the greater a part equal to C the less . From the point A draw the straight line AD equal to C ( 1. 2 ) ; and from the ...
Side 8
... less . Q. E. F. PROP . IV . THEOREM . If two triangles have two sides of the one equal to two sides of the other , each to each , and have also the angles con- tained by those sides equal to one another , they shall also have their ...
... less . Q. E. F. PROP . IV . THEOREM . If two triangles have two sides of the one equal to two sides of the other , each to each , and have also the angles con- tained by those sides equal to one another , they shall also have their ...
Vanlige uttrykk og setninger
AB² ABCD AC² AD² adjacent angles angle ABC angle ACB angle BAC angle equal base BC BC is equal centre chord circle ABC circumference diameter double draw equal angles equal to F equiangular equilateral triangle equimultiples exterior angle fore given circle given line given point given rectilineal given straight line gnomon hypotenuse inscribed intersection isosceles triangle join less Let ABC lines be drawn lines drawn meet multiple opposite angles parallel to BC parallelogram perpendicular plane polygon PROB produced proportionals Q. E. D. PROP rectangle contained rectilineal figure remaining angle right angles segment semicircle shew shewn square on AC tangents THEOR touches the circle triangle ABC twice the rectangle vertex Wherefore