Elements of Geometry; Containing the First Six Books of Euclid ...For Bell & Bradfute, 1814 - 461 Seiten |
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Seite 17
... extremities of a line are points ; ❝ and the intersections of one line with another are " also points . " III . " If two lines are such that they cannot coincide in any " two points , without coinciding altogether , each of " them is ...
... extremities of a line are points ; ❝ and the intersections of one line with another are " also points . " III . " If two lines are such that they cannot coincide in any " two points , without coinciding altogether , each of " them is ...
Seite 29
... extremity of the base equal to one another , and likewise those which are terminated in the other extremity , equal to one another . Let there be two triangles ACB , ADB , upon the same base AB , and upon the same side of it , which ...
... extremity of the base equal to one another , and likewise those which are terminated in the other extremity , equal to one another . Let there be two triangles ACB , ADB , upon the same base AB , and upon the same side of it , which ...
Seite 30
... extremity of the base equal to one another , and likewise those which are terminated in the other extremity equal to one another . Q. E. D. PROP . VIII . THEOR , If two triangles have two sides of the one equal to two sides of the other ...
... extremity of the base equal to one another , and likewise those which are terminated in the other extremity equal to one another . Q. E. D. PROP . VIII . THEOR , If two triangles have two sides of the one equal to two sides of the other ...
Seite 31
... extremity of the base equal to one another , and likewise their sides terminated in the other extremity ; but this is impossible ; there- a 7.1 . fore , if the base BC coincides with the base EF , the sides BA , AC cannot but coincide ...
... extremity of the base equal to one another , and likewise their sides terminated in the other extremity ; but this is impossible ; there- a 7.1 . fore , if the base BC coincides with the base EF , the sides BA , AC cannot but coincide ...
Seite 50
... extremities of two equal and parallel straight lines , towards the same parts , are also themselves equal and pa- rallel . Let AB , CD , be equal and parallel straight lines , and joined towards the same parts by the straight lines AC ...
... extremities of two equal and parallel straight lines , towards the same parts , are also themselves equal and pa- rallel . Let AB , CD , be equal and parallel straight lines , and joined towards the same parts by the straight lines AC ...
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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