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 TrigonometryLippincott, Grambo & Company, 1854 - 317 sider |
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Resultat 1-5 av 73
Side 13
... base BC be equal to the base EF ; and the tri- angle ABC to the triangle DEF ; and the other an- gles , to which the equal sides are opposite , shall be equal , each to each , AA B E F viz . the angle ABC to the angle DEF , and the ...
... base BC be equal to the base EF ; and the tri- angle ABC to the triangle DEF ; and the other an- gles , to which the equal sides are opposite , shall be equal , each to each , AA B E F viz . the angle ABC to the angle DEF , and the ...
Side 14
... base BC shall coincide with the base EF cor . def . 3. ) , and shall be equal to it . Therefore also the whole triangle ABC shall coincide with the whole triangle DEF , so that the spaces which they contain or their areas are equal ...
... base BC shall coincide with the base EF cor . def . 3. ) , and shall be equal to it . Therefore also the whole triangle ABC shall coincide with the whole triangle DEF , so that the spaces which they contain or their areas are equal ...
Side 15
... base of the triangle ABC : And it has also been proved that the angle FBC is equal to the angle GCB , which are the ... 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 ...
... base of the triangle ABC : And it has also been proved that the angle FBC is equal to the angle GCB , which are the ... 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
... base CD are equal ( 5. 1. ) to one another , but the angle ECD is greater than the angle BCD ; wherefore the angle ... BC equal to the base EF . The angle BAC is equal to the angle EDF . For , if the triangle ABC be applied to the ...
... base CD are equal ( 5. 1. ) to one another , but the angle ECD is greater than the angle BCD ; wherefore the angle ... BC equal to the base EF . The angle BAC is equal to the angle EDF . For , if the triangle ABC be applied to the ...
Side 17
... base 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 ...
... base 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 ...
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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