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, 1851 - 317 σελίδες |
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Σελίδα 8
... angle is the inclination of two straight lines to one another , which meet ... angle ' meet one another , is put between the other two letters , and one of ... ABC , or CBA ; that which is contained by AB , * The definitions marked with ...
... angle is the inclination of two straight lines to one another , which meet ... angle ' meet one another , is put between the other two letters , and one of ... ABC , or CBA ; that which is contained by AB , * The definitions marked with ...
Σελίδα 13
... angle BAC be also equal to the angle EDF : then shall he 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 ...
... angle BAC be also equal to the angle EDF : then shall he 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 ...
Σελίδα 14
... angle BAC is equal to the angle EDF ; wherefore also the point C shall coincide with the point F , because AC is equal to DF : But the point B coincides with the point E ; wherefore the base BC shall ... triangle ABC : And it has 14 ELEMENTS.
... angle BAC is equal to the angle EDF ; wherefore also the point C shall coincide with the point F , because AC is equal to DF : But the point B coincides with the point E ; wherefore the base BC shall ... triangle ABC : And it has 14 ELEMENTS.
Σελίδα 15
... triangle is also equiangular PROP . VI . THEOR . If two angles of a triangle be equal to one another , the sides which subtend or are opposite to them , are also equal to one another . Let ABC be a triangle having the angle ABC equal to the ...
... triangle is also equiangular PROP . VI . THEOR . If two angles of a triangle be equal to one another , the sides which subtend or are opposite to them , are also equal to one another . Let ABC be a triangle having the angle ABC equal to the ...
Σελίδα 16
... angle BAC is equal to the angle EDF . For , if the triangle ABC be applied to the triangle DEF , so that the point B be on E , and the straight line BC upon EF ; the point C shall also coincide with the point F , because BC is equal to ...
... angle BAC is equal to the angle EDF . For , if the triangle ABC be applied to the triangle DEF , so that the point B be on E , and the straight line BC upon EF ; the point C shall also coincide with the point F , because BC is equal to ...
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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