The Synoptical Euclid; Being the First Four Books of Euclid's Elements of Geometry, from the Edition of Dr. Robert Simson ... With ExercisesCharles Henry Law, 1854 - 120 sider |
Inni boken
Resultat 1-5 av 30
Side 8
... likewise equal to AD ( Constr . ) ; whence AE and Care each of them equal to AD ; wherefore ( Ax . 1. ) 2. The ... likewise the angles contained by those sides equal to one another ; they shall likewise have their bases , or third sides ...
... likewise equal to AD ( Constr . ) ; whence AE and Care each of them equal to AD ; wherefore ( Ax . 1. ) 2. The ... likewise the angles contained by those sides equal to one another ; they shall likewise have their bases , or third sides ...
Side 9
... likewise the angles contained by those sides equal to one another , their bases shall likewise be equal , and the triangles be equal , and their other angles to which the equal sides are opposite shall be equal , each to each . Which ...
... likewise the angles contained by those sides equal to one another , their bases shall likewise be equal , and the triangles be equal , and their other angles to which the equal sides are opposite shall be equal , each to each . Which ...
Side 11
... likewise those which are terminated in the other extremity . If it be possible , let there be two triangles ACB , ADB , upon the same base AB , and upon the same side of it , which have their sides CA , DA , terminated in the extremity ...
... likewise those which are terminated in the other extremity . If it be possible , let there be two triangles ACB , ADB , upon the same base AB , and upon the same side of it , which have their sides CA , DA , terminated in the extremity ...
Side 12
... likewise their sides CB , DB , that are terminated in B. C E F C A B B Join CD . Then , in the case in which the vertex of each of the tri- angles is without the other triangle , because AC is equal to AD , ( I. 5. ) 1. The angle ACD is ...
... likewise their sides CB , DB , that are terminated in B. C E F C A B B Join CD . Then , in the case in which the vertex of each of the tri- angles is without the other triangle , because AC is equal to AD , ( I. 5. ) 1. The angle ACD is ...
Side 13
... likewise their sides terminated in the other extremity . But this is impossible ( I. 7. ) ; therefore , if the base BC coincide with the base EF , the sides BA , AC , cannot but coincide with the sides ED , DF ; wherefore likewise 3 ...
... likewise their sides terminated in the other extremity . But this is impossible ( I. 7. ) ; therefore , if the base BC coincide with the base EF , the sides BA , AC , cannot but coincide with the sides ED , DF ; wherefore likewise 3 ...
Andre utgaver - Vis alle
The Synoptical Euclid; Being the First Four Books of Euclid's Elements of ... Euclid,Samuel A. GOOD Uten tilgangsbegrensning - 1854 |
The synoptical Euclid; being the first four books of Euclid's Elements of ... Euclides Uten tilgangsbegrensning - 1853 |
Vanlige uttrykk og setninger
AB is equal AC is equal adjacent angles angle ABC angle ACB angle AGH angle BAC angle BCD angle EDF angle equal base BC bisected circle ABC circumference diameter double draw equal angles equal Constr equal Hyp equal straight lines equal to BC equilateral and equiangular EUCLID'S ELEMENTS exterior angle given circle given point given rectilineal angle given straight line given triangle gnomon greater inscribed interior and opposite less Let ABC Let the straight likewise opposite angles parallel to CD parallelogram pentagon perpendicular point F produced Q.E.D. PROP rectangle AE rectangle contained remaining angle required to describe right angles semicircle side BC square of AC straight line AB straight line AC straight line drawn touches the circle triangle ABC twice the rectangle