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 TrigonometryW.E. Dean, 1839 - 318 páginas |
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Página ix
... contained within it , are problems that cer- tainly belong to the elements of the science , especially as they are not more difficult than other propositions which are usually admit- B ted into them . When I speak of the rectification ...
... contained within it , are problems that cer- tainly belong to the elements of the science , especially as they are not more difficult than other propositions which are usually admit- B ted into them . When I speak of the rectification ...
Página x
... contained with- in the circle . In the second Book of the Supplement , which treats of the inter- section of Planes , I have departed as little as possible from EUCLID'S method of considering the same subject in his eleventh Book . The ...
... contained with- in the circle . In the second Book of the Supplement , which treats of the inter- section of Planes , I have departed as little as possible from EUCLID'S method of considering the same subject in his eleventh Book . The ...
Página 18
... contained by AB , BD , is named the ' angle ABD , or DBA ; and that which is contained by BD , CB , is ' called the angle DBC , or CBD ; but , if there be only one angle at ' a point , it may be expressed by a letter placed at that ...
... contained by AB , BD , is named the ' angle ABD , or DBA ; and that which is contained by BD , CB , is ' called the angle DBC , or CBD ; but , if there be only one angle at ' a point , it may be expressed by a letter placed at that ...
Página 19
... contained by one line , which is called the circumference , and is such that all straight lines drawn from a cer ... contained by a diameter and the part of the circumference cut off by the diameter . XV . Rectilineal figures are those ...
... contained by one line , which is called the circumference , and is such that all straight lines drawn from a cer ... contained by a diameter and the part of the circumference cut off by the diameter . XV . Rectilineal figures are those ...
Página 23
... contain- ed by those sides equal to one another , their bases , or third sides , shall be equal ; and the areas of the triangles shall be equal ; and their other angles shall be equal , each to each , viz . those to which the equal ...
... contain- ed by those sides equal to one another , their bases , or third sides , shall be equal ; and the areas of the triangles shall be equal ; and their other angles shall be equal , each to each , viz . those to which the equal ...
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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 opposite angle parallel parallelogram parallelopipeds perpendicular polygon prism PROB produced 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 parallelopipeds spherical angle spherical triangle square straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore