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 páginas |
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Página 3
... remaining , when a part equal to B has been taken away from it . In like manner , A − B + C , or A + C — B , signifies that A and C are to be added together , and that B is to be subtracted from their sum . 22. Multiplication is ...
... remaining , when a part equal to B has been taken away from it . In like manner , A − B + C , or A + C — B , signifies that A and C are to be added together , and that B is to be subtracted from their sum . 22. Multiplication is ...
Página 9
... remaining angles of the one shall coincide with the remaining ngles of the other , and be equal to them , viz . the angle ABC to the angle DEF , and the angle ACB to the angle DFE . PROP . II . THEOR . When two triangles have two angles ...
... remaining angles of the one shall coincide with the remaining ngles of the other , and be equal to them , viz . the angle ABC to the angle DEF , and the angle ACB to the angle DFE . PROP . II . THEOR . When two triangles have two angles ...
Página 13
... remaining angle ABE is equal ( 3. Ax . ) to the remaining angle ABD , the less to the greater , which is impossible ; therefore BE is not in the same straight line with BC . And in like manner , it may be demonstrated , that no other ...
... remaining angle ABE is equal ( 3. Ax . ) to the remaining angle ABD , the less to the greater , which is impossible ; therefore BE is not in the same straight line with BC . And in like manner , it may be demonstrated , that no other ...
Página 14
... remaining angles to the remaining angles each to each , to which the equal sides are opposite ; wherefore the angle BAE is equal to the angle ECF ; but the angle ECD is greater than the angle ECF ; therefore the angle ECD , that is ACD ...
... remaining angles to the remaining angles each to each , to which the equal sides are opposite ; wherefore the angle BAE is equal to the angle ECF ; but the angle ECD is greater than the angle ECF ; therefore the angle ECD , that is ACD ...
Página 20
... remaining angle AGH is equal to the remaining angle GHD ; and they are alternate angles ; therefore AB is parallel to CD . COR . Hence , when two straight lines are perpendicular to a third line , they will be parallel to each other ...
... remaining angle AGH is equal to the remaining angle GHD ; and they are alternate angles ; therefore AB is parallel to CD . COR . Hence , when two straight lines are perpendicular to a third line , they will be parallel to each other ...
Otras ediciones - Ver todas
Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Vista de fragmentos - 1836 |
Términos y frases comunes
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