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 39
Side 13
... angles contained by those sides equal to one another , their bases , or third ... angle BAC be also equal to the angle EDF : then shall he base BC be equal to ... ACB to DFE . For , if the triangle ABC be applied to the triangle DEF , so ...
... angles contained by those sides equal to one another , their bases , or third ... angle BAC be also equal to the angle EDF : then shall he base BC be equal to ... ACB to DFE . For , if the triangle ABC be applied to the triangle DEF , so ...
Side 14
... angle BAC is equal to the angle EDF ; wherefore also the point C shall coincide with the point F , because AC is ... ACB to the angle DFE . Therefore , if two triangles have two sides of the one equal to two sides of the other , each to ...
... angle BAC is equal to the angle EDF ; wherefore also the point C shall coincide with the point F , because AC is ... ACB to the angle DFE . Therefore , if two triangles have two sides of the one equal to two sides of the other , each to ...
Side 15
... angle FBC is equal to the angle GCB , which are the angles upon the other ... ACB ; the side AB is also equal to the side AC . For , if AB be not equal to ... ACB , DB is equal to AC , and BC common to both , the two sides DB , BC are ...
... angle FBC is equal to the angle GCB , which are the angles upon the other ... ACB ; the side AB is also equal to the side AC . For , if AB be not equal to ... ACB , DB is equal to AC , and BC common to both , the two sides DB , BC are ...
Side 16
... ACB ; produce AC , AD to E , F ; therefore , because AC is equal to AD in the triangle ACD , the angles ECD , FDC upon the other side of the base CD are equal ( 5. 1. ) to one another , but the angle ECD is greater than the angle BCD ...
... ACB ; produce AC , AD to E , F ; therefore , because AC is equal to AD in the triangle ACD , the angles ECD , FDC upon the other side of the base CD are equal ( 5. 1. ) to one another , but the angle ECD is greater than the angle BCD ...
Side 17
... angle BAC coincides with the angle EDF , and is equal ( 8. Ax . ) to it . PROP . IX . PROB . To bisect a given ... ACB by the straight line CD . AB is cut into two equal parts in the point D. Because AC is equal to CB , and CD common to the ...
... angle BAC coincides with the angle EDF , and is equal ( 8. Ax . ) to it . PROP . IX . PROB . To bisect a given ... ACB by the straight line CD . AB is cut into two equal parts in the point D. Because AC is equal to CB , and CD common to the ...
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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