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 TrigonometryCollins & Hannay, 1860 - 333 páginas |
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Página 41
... parallel ( 27.1 . ) to CD . Where- fore straight lines , & c . Q. E. D. PROP . XXXI . A E PROB . B T K D To draw a straight line through a given point parallel to a given straight line . Let A be the given point , and BC the given ...
... parallel ( 27.1 . ) to CD . Where- fore straight lines , & c . Q. E. D. PROP . XXXI . A E PROB . B T K D To draw a straight line through a given point parallel to a given straight line . Let A be the given point , and BC the given ...
Página 46
... parallels . Let the equal triangles ABC , DBC be upon the same base BC , and upon the same side of it ; they are between the same parallels . Join AD : AD is parallel to BC ; for , if it is not , through the point A draw 31. 1. ) AE ...
... parallels . Let the equal triangles ABC , DBC be upon the same base BC , and upon the same side of it ; they are between the same parallels . Join AD : AD is parallel to BC ; for , if it is not , through the point A draw 31. 1. ) AE ...
Página 185
... parallel ( 6. 2. Sup . ) to one another . Therefore AB'is pa- E- C- K rallel to CD . Wherefore two straight lines , & c . Q. E. D. PROP . IX . THEOR . F D If two straight lines meeting one another be parallel to two others that meet one ...
... parallel ( 6. 2. Sup . ) to one another . Therefore AB'is pa- E- C- K rallel to CD . Wherefore two straight lines , & c . Q. E. D. PROP . IX . THEOR . F D If two straight lines meeting one another be parallel to two others that meet one ...
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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 and similar 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 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 side BC sine solid angle solid parallelopipeds spherical angle spherical triangle straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore