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 Trigonometry |
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Página 13
Ax . ) to the remaining angle ABD , the less to the greater , which is impossible ; therefore BE is not in the same ... side of a triangle be produced , the exterior angle is greater than either of the interior , and opposite angles .
Ax . ) to the remaining angle ABD , the less to the greater , which is impossible ; therefore BE is not in the same ... side of a triangle be produced , the exterior angle is greater than either of the interior , and opposite angles .
Página 14
A Produce BC to D ; and because ACD is the exterior angle of the trian- gle ABC , ACD is greater ( 9. 1. ) than the interior and opposite angle ABC ; to each of these add the angle ACB ; therefore the angles ACD , ACB are greater than ...
A Produce BC to D ; and because ACD is the exterior angle of the trian- gle ABC , ACD is greater ( 9. 1. ) than the interior and opposite angle ABC ; to each of these add the angle ACB ; therefore the angles ACD , ACB are greater than ...
Página 15
AB ; the angle ABC is also greater than the angle BCA . 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 ...
AB ; the angle ABC is also greater than the angle BCA . 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 ...
Página 16
Again , because the exterior angle of a triangle ( 9. 1. ) is greater than the interior and 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 ...
Again , because the exterior angle of a triangle ( 9. 1. ) is greater than the interior and 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 ...
Página 19
for the right angles B and E are equal , the side AB = DE , and BH = EF ; hence , these tri- angles are equal ( Th . 1. ) ... If a straight line falling upon two other straight lines makes the exterior angle equal to the interior and ...
for the right angles B and E are equal , the side AB = DE , and BH = EF ; hence , these tri- angles are equal ( Th . 1. ) ... If a straight line falling upon two other straight lines makes the exterior angle equal to the interior and ...
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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 draw Prob 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
Información bibliográfica
| Título | 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 Trigonometry |
| Autor | John Playfair |
| Editor | B. & S. Collins; W. E. Dean, printer, 1836 |
| Largo | 311 páginas |
| Exportar cita | BiBTeX EndNote RefMan |