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 TrigonometryB. & S. Collins; W. E. Dean, printer, 1836 - 311 σελίδες |
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Αποτελέσματα 6 - 10 από τα 89.
Σελίδα 13
... vertical , or opposite angles are equal . Let the two straight lines AB , CD , cut one another in the point E ; the angle AEC shall be equal to the angle DEB , and CEB to AED . For the angles CEA , AED , which the straight line AE makes ...
... vertical , or opposite angles are equal . Let the two straight lines AB , CD , cut one another in the point E ; the angle AEC shall be equal to the angle DEB , and CEB to AED . For the angles CEA , AED , which the straight line AE makes ...
Σελίδα 14
... angle ACD is greater than either of the interior opposite angles CBA , BAC . Join B and E the middle point of the line AC , and produce BE to F , and make EF equal to BE ; join also FC , and produce AC to G. A F 4 B E D Because AE is ...
... angle ACD is greater than either of the interior opposite angles CBA , BAC . Join B and E the middle point of the line AC , and produce BE to F , and make EF equal to BE ; join also FC , and produce AC to G. A F 4 B E D Because AE is ...
Σελίδα 15
... angle BCA . A D Make AD equal to AB , and join BD : and because ADB is the exterior angle of the triangle BDC , it is greater ( 9. 1. ) than the interior and opposite angle DCB ; but ADB is equal ( 3. 1. ) to ABD , be- cause the side ...
... angle BCA . A D Make AD equal to AB , and join BD : and because ADB is the exterior angle of the triangle BDC , it is greater ( 9. 1. ) than the interior and opposite angle DCB ; but ADB is equal ( 3. 1. ) to ABD , be- cause the side ...
Σελίδα 16
... opposite angle , the exterior angle BDC of the triangle CDE is greater than CED ; for the same reason , the exterior angle CEB of the triangle ABE is greater than BAC ; and ... angle EDG equal to the angle BAC : and make DG 16 ELEMENTS.
... opposite angle , the exterior angle BDC of the triangle CDE is greater than CED ; for the same reason , the exterior angle CEB of the triangle ABE is greater than BAC ; and ... angle EDG equal to the angle BAC : and make DG 16 ELEMENTS.
Σελίδα 17
... angle BAC : and make DG equal to AC or DF , and join EG , GF . Because AB is ... opposite to the greater an- gle , the side EG is greater than the side EF ... angle contained by the sides of the other . Let ABC , DEF be two ...
... angle BAC : and make DG equal to AC or DF , and join EG , GF . Because AB is ... opposite to the greater an- gle , the side EG is greater than the side EF ... angle contained by the sides of the other . Let ABC , DEF be two ...
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ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC angles equal base BC bisected centre chord circle ABC circumference cosine cylinder 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 solid parallelopiped spherical angle spherical triangle square straight line BC THEOR third touches the circle triangle ABC triangle DEF wherefore