Elements of Geometry; Containing the First Six Books of Euclid ...For Bell & Bradfute, 1814 - 461 Seiten |
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Seite 86
... pass through the centre , it will cut that line at right angles ; and , if it cut it at angles , it will bisect it . right Let ABC be a cirele , and let CD , a straight line drawn through the centre , bisect any straight line AB , which ...
... pass through the centre , it will cut that line at right angles ; and , if it cut it at angles , it will bisect it . right Let ABC be a cirele , and let CD , a straight line drawn through the centre , bisect any straight line AB , which ...
Seite 87
... pass through the centre , they do not bisect each other . Let ABCD be a circle , and AC , BD two straight lines in it , which cut one another in the point E , and do not both pass through the centre : AC , BD do not bisect one another ...
... pass through the centre , they do not bisect each other . Let ABCD be a circle , and AC , BD two straight lines in it , which cut one another in the point E , and do not both pass through the centre : AC , BD do not bisect one another ...
Seite 88
... pass through the centre , it must cut it at right angles ; wherefore FEA is a right angle . Again , because the straight line FE bisects the straight line BD , which does not pass through the centre , it must cut it at right angles ...
... pass through the centre , it must cut it at right angles ; wherefore FEA is a right angle . Again , because the straight line FE bisects the straight line BD , which does not pass through the centre , it must cut it at right angles ...
Seite 94
... pass through the point of contact . Let the two circles ABC , ADE , touch each other in- ternally in the point A , and let F be the centre of the circle ABC , and G the centre of the circle ADE ; the straight line which joins the ...
... pass through the point of contact . Let the two circles ABC , ADE , touch each other in- ternally in the point A , and let F be the centre of the circle ABC , and G the centre of the circle ADE ; the straight line which joins the ...
Seite 95
... pass through the point of contact . Let the two circles ABC , ADE , touch each other ex- ternally in the point A ; and let F be the centre of the circle ABC , and G the centre of ADE : The straight line which joins the points F , G shall ...
... pass through the point of contact . Let the two circles ABC , ADE , touch each other ex- ternally in the point A ; and let F be the centre of the circle ABC , and G the centre of ADE : The straight line which joins the points F , G shall ...
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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