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, 1836 - 311 σελίδες |
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Σελίδα 12
... angles BAG , CAG , is equal to the sum of the two angles BGA , CGA , ( Ax . 2. ) that is , the whole an- gle BAC ... adjacent angles DBA , АВС . PROP . VII . THEOR . If , at a point in a straight line , two other straight lines ...
... angles BAG , CAG , is equal to the sum of the two angles BGA , CGA , ( Ax . 2. ) that is , the whole an- gle BAC ... adjacent angles DBA , АВС . PROP . VII . THEOR . If , at a point in a straight line , two other straight lines ...
Σελίδα 26
... angles BCD , CBD in the other , each to each , and the side BC , which is adjacent to these equal angles , common to the two triangles ; therefore their other sides are equal , each to each , and the third angle of the one to the third ...
... angles BCD , CBD in the other , each to each , and the side BC , which is adjacent to these equal angles , common to the two triangles ; therefore their other sides are equal , each to each , and the third angle of the one to the third ...
Σελίδα 37
... angles ( Cor . 6. 1. ) are together equal to two right angles . A Y E C B D PROP . XI . PROB . Two angles of a triangle and a side being given , to construct the triangle . The two angles will either be both adjacent to the given side ...
... angles ( Cor . 6. 1. ) are together equal to two right angles . A Y E C B D PROP . XI . PROB . Two angles of a triangle and a side being given , to construct the triangle . The two angles will either be both adjacent to the given side ...
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ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC angles equal arc AC base BC bisected centre chord circle ABC circumference cosine cylinder definition demonstrated diameter divided equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles 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 PROP proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle spherical angle spherical triangle square straight line BC THEOR third touches the circle triangle ABC triangle DEF wherefore