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, 1851 - 317 sider |
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Resultat 1-5 av 92
Side 14
... BC shall coincide with the base EF ( cor . def . 3. ) , and shall be equal to it . Therefore also the whole triangle ... side of the base shall be equal . Let ABC be an isosceles triangle , of which the side AB is equal to AC , and ...
... BC shall coincide with the base EF ( cor . def . 3. ) , and shall be equal to it . Therefore also the whole triangle ... side of the base shall be equal . Let ABC be an isosceles triangle , of which the side AB is equal to AC , and ...
Side 15
... side of the base . COROLLARY . Hence every equilateral triangle is also equiangular PROP . VI . THEOR . If two ... BC common to both , the two sides DB , BC are equal to the two AC , CB , each to each ; but the angle DBC is also ...
... side of the base . COROLLARY . Hence every equilateral triangle is also equiangular PROP . VI . THEOR . If two ... BC common to both , the two sides DB , BC are equal to the two AC , CB , each to each ; but the angle DBC is also ...
Side 16
... side of the base CD are equal ( 5. 1. ) to one another , but the angle ECD is greater than the angle BCD ; wherefore ... BC equal to the base EF . The angle BAC is equal to the angle EDF . For , if the triangle ABC be applied to the triangle ...
... side of the base CD are equal ( 5. 1. ) to one another , but the angle ECD is greater than the angle BCD ; wherefore ... BC equal to the base EF . The angle BAC is equal to the angle EDF . For , if the triangle ABC be applied to the triangle ...
Side 17
... BC coincides with the base EF , the sides BA , AC cannot but coincide with the sides ED , DF ; wherefore likewise the angle BAC coincides with the angle EDF , and is equal ( 8. Ax . ) to it . PROP . IX . PROB . To bisect a given ...
... BC coincides with the base EF , the sides BA , AC cannot but coincide with the sides ED , DF ; wherefore likewise the angle BAC coincides with the angle EDF , and is equal ( 8. Ax . ) to it . PROP . IX . PROB . To bisect a given ...
Side 19
... side of it , are either two right angles , or are together equal to two ... BC , BD upon the opposite sides of AB , make the adja- cent angles ABC , ABD ... side of A E C B D it , the angles ABC , ABE are together equal OF ...
... side of it , are either two right angles , or are together equal to two ... BC , BD upon the opposite sides of AB , make the adja- cent angles ABC , ABD ... side of A E C B D it , the angles ABC , ABE are together equal OF ...
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Vanlige uttrykk og setninger
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated described diameter divided draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given rectilineal 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 PROB PROP proportional 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 touches the circle triangle ABC triangle DEF wherefore