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 TrigonometryLippincott, Grambo & Company, 1854 - 317 páginas |
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Página 69
... circles touch each other externally , the straight line which joins ther centres will pass through the point of contact . Let the two circles ABC , ADE , touch each other externally in the point A ; and let F be the centre of the circle ...
... circles touch each other externally , the straight line which joins ther centres will pass through the point of contact . Let the two circles ABC , ADE , touch each other externally in the point A ; and let F be the centre of the circle ...
Página 72
... circle in C. Because DAF is a right angle , it is greater than the angle AFD ( 32. 1. ) ; but the greater angle of ... touches the circle ; and that it touches it only in one point ; because , if it did meet the circle in two , it would ...
... circle in C. Because DAF is a right angle , it is greater than the angle AFD ( 32. 1. ) ; but the greater angle of ... touches the circle ; and that it touches it only in one point ; because , if it did meet the circle in two , it would ...
Página 73
... touches the circle ( 1 Cor . 16.3 . ) : therefore AB touches the circle ; and is drawn from the given point A. C E B But if the given point be in the circumference of the circle , as the point D , draw DE to the centre E , and DF at ...
... touches the circle ( 1 Cor . 16.3 . ) : therefore AB touches the circle ; and is drawn from the given point A. C E B But if the given point be in the circumference of the circle , as the point D , draw DE to the centre E , and DF at ...
Página 74
... touching line , the centre of the circle is in that line . A Let the straight line DE touch the circle ABC , in C , and from C let CA be drawn at right angles to DE ; the centre of the circle is in CA. For , if not , let F be the centre ...
... touching line , the centre of the circle is in that line . A Let the straight line DE touch the circle ABC , in C , and from C let CA be drawn at right angles to DE ; the centre of the circle is in CA. For , if not , let F be the centre ...
Página 81
... touch a circle , and from the point of contact a straight line be drawn cutting the circle , the angles made by this line with the line which touches the circle , shall be equal to the angles in the alternate seg- ments of the circle ...
... touch a circle , and from the point of contact a straight line be drawn cutting the circle , the angles made by this line with the line which touches the circle , shall be equal to the angles in the alternate seg- ments of the circle ...
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Términos y frases comunes
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated described diameter divided draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given rectilineal given straight line greater Hence hypotenuse inscribed join less Let ABC Let the straight magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular polygon prism PROB PROP proportional proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle solid parallelopiped spherical angle spherical triangle square straight line BC THEOR touches the circle triangle ABC triangle DEF wherefore