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 páginas |
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Página 67
... circumference of the seg- ment , to the extremities of the straight line which is the base of the segment . VII . And an angle is said to insist or stand upon the arch intercepted between the straight lines which contain the angle ...
... circumference of the seg- ment , to the extremities of the straight line which is the base of the segment . VII . And an angle is said to insist or stand upon the arch intercepted between the straight lines which contain the angle ...
Página 68
... circumference of a circle , the straight line which joins them shall fal within the circle . Let ABC be a circle , and A , B any two points in the circumfer- ence the straight line drawn from A to B shall fall within the circle ...
... circumference of a circle , the straight line which joins them shall fal within the circle . Let ABC be a circle , and A , B any two points in the circumfer- ence the straight line drawn from A to B shall fall within the circle ...
Página 70
... circumference , the greatest is that in which the centre is , and the other part of that di- ameter is the least ; and , of any others , that which is nearer to the line passing through the centre is always greater than one more remote ...
... circumference , the greatest is that in which the centre is , and the other part of that di- ameter is the least ; and , of any others , that which is nearer to the line passing through the centre is always greater than one more remote ...
Página 71
... circumference , one upon each side of the shortest line FD : at the point E in the straight line EF , make ( 23. 1 ... circumference , whereof one passes through the centre ; of those which fall upon the concave circumference , the ...
... circumference , one upon each side of the shortest line FD : at the point E in the straight line EF , make ( 23. 1 ... circumference , whereof one passes through the centre ; of those which fall upon the concave circumference , the ...
Página 72
... circumference , whereof DA passes through the centre . Of those which fall upon the concave part of the circumference AEFC , the greatest is AD which passes through the centre ; and the line nearer to AD is always greater than the more ...
... circumference , whereof DA passes through the centre . Of those which fall upon the concave part of the circumference AEFC , the greatest is AD which passes through the centre ; and the line nearer to AD is always greater than the more ...
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Términos y frases comunes
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