Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle and the Geometry of Solids ; to which are Added Elements of Plane and Spherical TrigonometryE. Duyckinck, and George Long, 1824 - 333 σελίδες |
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Σελίδα 66
... touch a circle , when it meets the circle , and being produced does not cut it . II . Circles are said to touch one another , which meet , but do not cut one another . III . Straight lines are said to be equally dis- tant from the ...
... touch a circle , when it meets the circle , and being produced does not cut it . II . Circles are said to touch one another , which meet , but do not cut one another . III . Straight lines are said to be equally dis- tant from the ...
Σελίδα 70
... touch one another internally , they cannot have the same cen- tre . Let the two circles ABC CDE , touch one another internally in the point C they have not the same centre . : C For , if they have , let it be F ; join FC , and draw any ...
... touch one another internally , they cannot have the same cen- tre . Let the two circles ABC CDE , touch one another internally in the point C they have not the same centre . : C For , if they have , let it be F ; join FC , and draw any ...
Σελίδα 73
... touch each other internally , the straight line which joins their centres being produced , will pass through the point of contact . Let the two circles ABC , ADE , touch each other internally in the K point A , and let F be the centre ...
... touch each other internally , the straight line which joins their centres being produced , will pass through the point of contact . Let the two circles ABC , ADE , touch each other internally in the K point A , and let F be the centre ...
Σελίδα 74
... touch each other externally , the straight line which joins their centres will pass through the point of contact . Let ... touches it on the inside or outside . For , if it be possible , let the circle EBF touch the circle ABC in more ...
... touch each other externally , the straight line which joins their centres will pass through the point of contact . Let ... touches it on the inside or outside . For , if it be possible , let the circle EBF touch the circle ABC in more ...
Σελίδα 75
... touch another in the inside in more points than one . K Nor can two circles touch one anothe on the outside in more than one point : For , if it be possible , let the circle ACK touch the circle ABC in the points A , C , and join AC ...
... touch another in the inside in more points than one . K Nor can two circles touch one anothe on the outside in more than one point : For , if it be possible , let the circle ACK touch the circle ABC in the points A , C , and join AC ...
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ABC is equal ABCD altitude angle ABC angle ACB angle BAC angle EDF arch AC base BC bisected centre circle ABC circumference cosine cylinder demonstrated diameter draw equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater hypotenuse inscribed join less Let ABC Let the straight line BC magnitudes meet multiple opposite angle parallel parallelepipeds parallelogram perpendicular polygon prism PROB produced proportionals 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 straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore