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, Edlemnts of Plane and Spherical TrigonometryW.E. Dean, 1836 - 311 páginas |
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Página 58
... pass through the centre : AC , BD do not bisect one another . A F D E B For if it is possible , let AE be equal to EC , and BE to ED ; If one of the lines pass through the centre , it is plain that it cannot be bisected by the other ...
... pass through the centre : AC , BD do not bisect one another . A F D E B For if it is possible , let AE be equal to EC , and BE to ED ; If one of the lines pass through the centre , it is plain that it cannot be bisected by the other ...
Página 64
... 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 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 externally 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 ...
Página 77
... pass through the centre , at right angles in the point E ; then , if BD be bisected in F , F is the centre of the circle ABCD ; join AF : and because BD , which passes through the centre , cuts the straight line AC , which does not pass ...
... pass through the centre , at right angles in the point E ; then , if BD be bisected in F , F is the centre of the circle ABCD ; join AF : and because BD , which passes through the centre , cuts the straight line AC , which does not pass ...
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Términos y frases comunes
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC angles equal arc AC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated diameter divided draw Prob equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles 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 PROP 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 third touches the circle triangle ABC wherefore