The Elements of EuclidJohnson and Warner, 1811 - 518 sider |
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Side 16
... shown , that BC is equal to BG ; wherefore AL and BC are each of them equal to BG ; and things that are equal to the same are equal to one another ; therefore the straight line AL is equal to BC . Wherefore from the given point A a ...
... shown , that BC is equal to BG ; wherefore AL and BC are each of them equal to BG ; and things that are equal to the same are equal to one another ; therefore the straight line AL is equal to BC . Wherefore from the given point A a ...
Side 29
... shown that BA , AC are greater than BE , EC ; much more then are BA , AC B greater than BD , DC . Again , because the exterior angle of a triangle is greater than the interior and opposite angle , the exterior angle BDC of the triangle ...
... shown that BA , AC are greater than BE , EC ; much more then are BA , AC B greater than BD , DC . Again , because the exterior angle of a triangle is greater than the interior and opposite angle , the exterior angle BDC of the triangle ...
Side 36
... shown that the angle AGK is equal to the an- gle GHF ; therefore also AGK is equal to GKD ; and they are alter- nate angles ; therefore AB is paral- A E C ور B H Κ lelb to CD , Wherefore straight lines , & c . Q. E. D. PROP . XXXI ...
... shown that the angle AGK is equal to the an- gle GHF ; therefore also AGK is equal to GKD ; and they are alter- nate angles ; therefore AB is paral- A E C ور B H Κ lelb to CD , Wherefore straight lines , & c . Q. E. D. PROP . XXXI ...
Side 39
... shown to be equal to it . c 27. 1 . Therefore straight lines , & c . Q. E. D. PROP . XXXIV . THEOR . THE opposite sides and angles of parallelograms are equal to one another , and the diameter bisects them that is , divides them into ...
... shown to be equal to it . c 27. 1 . Therefore straight lines , & c . Q. E. D. PROP . XXXIV . THEOR . THE opposite sides and angles of parallelograms are equal to one another , and the diameter bisects them that is , divides them into ...
Side 69
... shown , that no other point but F is the centre ; that is , F is the centre of the circle ABC . Which was to be found . G F c 8.1 . B D d 10. def . E COR . From this it is manifest , that if in a circle a straight line bisect another at ...
... shown , that no other point but F is the centre ; that is , F is the centre of the circle ABC . Which was to be found . G F c 8.1 . B D d 10. def . E COR . From this it is manifest , that if in a circle a straight line bisect another at ...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... Robert Simson Uten tilgangsbegrensning - 1806 |
Vanlige uttrykk og setninger
altitude angle ABC angle BAC base BC BC is equal BC is given bisected Book XI centre circle ABCD circumference cone cylinder demonstrated described diameter draw drawn equal angles equiangular equimultiples Euclid excess fore given angle given in magnitude given in position given in species given magnitude given ratio given straight line gnomon greater join less Let ABC meet multiple parallel parallelogram parallelogram AC perpendicular point F polygon prism proportionals proposition pyramid Q. E. D. PROP radius ratio of AE rectangle CB rectangle contained rectilineal figure remaining angle right angles segment sides BA similar solid angle solid parallelopiped square of AC straight line AB straight line BC tangent THEOR third triangle ABC triplicate ratio vertex wherefore