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 30
... straight line . At the point B in the straight line AB , let the two straight lines BC , BD upon the opposite sides of AB , make the adjacent an- gles ABC , ABD equal together to two right angles . BD is in the same straight line with ...
... straight line . At the point B in the straight line AB , let the two straight lines BC , BD upon the opposite sides of AB , make the adjacent an- gles ABC , ABD equal together to two right angles . BD is in the same straight line with ...
Página 79
... straight line touch a circle , the straight line drawn from the centre to the point of contact , is perpendicular to the line touching the circle . Let the straight line DE touch the circle ABC in the point C ; take the centre F , and ...
... straight line touch a circle , the straight line drawn from the centre to the point of contact , is perpendicular to the line touching the circle . Let the straight line DE touch the circle ABC in the point C ; take the centre F , and ...
Página 82
... let ACB fall within ADB , draw the straight line BCD , and join CA , DA : and because D the segment ACB is similar ... straight lines are equal to one another . Let AEB , CFD be similar segments of circles upon the equal straight ...
... let ACB fall within ADB , draw the straight line BCD , and join CA , DA : and because D the segment ACB is similar ... straight lines are equal to one another . Let AEB , CFD be similar segments of circles upon the equal straight ...
Página 181
... let AB , part of the straight line ABC be in the plane , C and the part BC above it : and since the straight line AB is in the plane , it can be produced in that plane ( 2.Post . 1. ) : let it be produced to D : Then ABC and ABD are ...
... let AB , part of the straight line ABC be in the plane , C and the part BC above it : and since the straight line AB is in the plane , it can be produced in that plane ( 2.Post . 1. ) : let it be produced to D : Then ABC and ABD are ...
Página 182
... let B and D be two points in the line of their common section . From B to D draw the straight line BD ; and because the points B and D are in the plane AB , the straight line BD is in that plane ( def . 5.1 . ) : for the same reason it ...
... let B and D be two points in the line of their common section . From B to D draw the straight line BD ; and because the points B and D are in the plane AB , the straight line BD is in that plane ( def . 5.1 . ) : for the same reason it ...
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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 definition 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 MDCCCXX 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 BD THEOR third touches the circle triangle ABC triangle DEF wherefore