Elements of Geometry; Containing the First Six Books of Euclid ...For Bell & Bradfute, 1814 - 461 Seiten |
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... fall of the Ro- man empire . CHAP . VI . gives modern hiftory , the origin of empires , the discovery of America , the doubling the Cape of Good Hope , tables of cotemporary kings and nations arranged in parallel columns and divided ...
... fall of the Ro- man empire . CHAP . VI . gives modern hiftory , the origin of empires , the discovery of America , the doubling the Cape of Good Hope , tables of cotemporary kings and nations arranged in parallel columns and divided ...
Seite v
... fall to the share either of himself , or of any other of the moderns . But , after all this was accomplished , something still remained to be done , since , notwithstanding the acknowledged excellence of EUCLID'S Ele- ments , it could ...
... fall to the share either of himself , or of any other of the moderns . But , after all this was accomplished , something still remained to be done , since , notwithstanding the acknowledged excellence of EUCLID'S Ele- ments , it could ...
Seite xv
... fall together . The demonstration , therefore , even of an obvious pro- position , answers the purpose of connecting that proposition with others , and ascertaining its place in the general system of mathematical truth . If for example ...
... fall together . The demonstration , therefore , even of an obvious pro- position , answers the purpose of connecting that proposition with others , and ascertaining its place in the general system of mathematical truth . If for example ...
Seite 45
... falling upon two other straight lines makes the alternate angles equal to one ano- ther , these two straight lines are parallel . Let the straight line EF , which falls upon the two straight lines AB , CD make the alternate angles AEF ...
... falling upon two other straight lines makes the alternate angles equal to one ano- ther , these two straight lines are parallel . Let the straight line EF , which falls upon the two straight lines AB , CD make the alternate angles AEF ...
Seite 46
... fall upon two parallel straight lines , it makes the alternate ' angles equal to one another ; and the exterior angle equal to the in- terior and opposite upon the same side ; and like- wise the two interior angles upon the same side ...
... fall upon two parallel straight lines , it makes the alternate ' angles equal to one another ; and the exterior angle equal to the in- terior and opposite upon the same side ; and like- wise the two interior angles upon the same side ...
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ABC is equal ABCD altitude angle ABC angle ACB angle BAC arch AC base BC bisected Book centre circle ABC circumference cosine cylinder definition demonstrated described diameter draw drawn equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles GEOMETRY given straight line greater hypotenuse inscribed join less Let ABC Let the straight line BC magnitudes meet opposite angle parallel parallelogram perpendicular polygon prism PROB proportional proposition Q. E. D. COR Q. E. D. PROP radius ratio rectangle contained rectilineal figure remaining angle segment semicircle shewn side BC sine solid angle solid parallelepipeds spherical angle spherical triangle SPHERICAL TRIGONOMETRY straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore