The Elements of EuclidJohnson and Warner, 1811 - 518 sider |
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Side 11
... Book I. and XVI . And this point is called the centre of the circle . XVII . A diameter of a circle is a straight line drawn through the cen- tre , and terminated both ways by the circumference . XVIII . A semicircle is the figure ...
... Book I. and XVI . And this point is called the centre of the circle . XVII . A diameter of a circle is a straight line drawn through the cen- tre , and terminated both ways by the circumference . XVIII . A semicircle is the figure ...
Side 15
... Book I. a 3. Postu- late . A B E b 2. Post . Because the point A is the centre of the circle BCD , AC is equal to AB ; and because the point B is the centre of the cir- c 15. Defi- cle ACE , BC is equal to BA : but it has been proved ...
... Book I. a 3. Postu- late . A B E b 2. Post . Because the point A is the centre of the circle BCD , AC is equal to AB ; and because the point B is the centre of the cir- c 15. Defi- cle ACE , BC is equal to BA : but it has been proved ...
Side 31
... Book I. AB , AC equal to the two DE , DF , each to each , viz . AB equal to DE , and AC to DF ; but the angle BAC greater than the angle EDF ; the base BC is also greater than the base EF . Of the two sides DE , DF , let DE be the side ...
... Book I. AB , AC equal to the two DE , DF , each to each , viz . AB equal to DE , and AC to DF ; but the angle BAC greater than the angle EDF ; the base BC is also greater than the base EF . Of the two sides DE , DF , let DE be the side ...
Side 47
... Book 1 and because the angle E is equal to each of the angles FKH , GHM , the angle FKH is equal to GHM : add to each of these E ; the angle KHG ; therefore the angles FKH , KHG , are equal to the angles KHG , GHM ; but FKH , A KHG are ...
... Book 1 and because the angle E is equal to each of the angles FKH , GHM , the angle FKH is equal to GHM : add to each of these E ; the angle KHG ; therefore the angles FKH , KHG , are equal to the angles KHG , GHM ; but FKH , A KHG are ...
Side 51
Euclid Robert Simson. THE ELEMENTS OF EUCLID . BOOK II . " DEFINITIONS I. EVERY right angled parallelogram is said to be contained Book II . by any two of the straight lines which contain one of the right angles . II . In every ...
Euclid Robert Simson. THE ELEMENTS OF EUCLID . BOOK II . " DEFINITIONS I. EVERY right angled parallelogram is said to be contained Book II . by any two of the straight lines which contain one of the right angles . II . In every ...
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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