 | Euclides - 1845 - 546 pages
...7-) Next, let BD be to DC, as BA to AC, and join AD. The angle CA D shall be equal to the angle DAE. The same construction being made, because BD is to DC, as BA to AC; and that BD is also to DC, as BA to AF; (vi. 2.) therefore BA is to AC, as BA to ^F: (v. 11.)... | |
 | Euclides - 1846 - 292 pages
...AC. Next, let BD be to DC as BA to AC, and join AD : then the angle CAE shall be bisected by AD. For, the same construction being made, because BD is to DC as BA to AC, and also BD is to DC as BA to AF, therefore BA is to AC as BA to AF, and therefore AC is equal... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...BA to AC. Now let BD be to DC, as BA to AC, and join AD ; the angle CAD is equal to the angle DAE. The same construction being made, because BD is to DC as BA to AC ; and also BD to DC, BA to AF (2. 6. ) ; therefore BA is to AC, as BA to AF (11. 5.), wherefore... | |
 | Euclides - Geometry - 1853 - 176 pages
...ba to ac. Let now bd be to dc as ba to ac, and join ad ; the angle cad is equal to the angle da e. The same construction being made, because bd is to dc as ba to ac ', and that bd is also to dc, as ba to af (vi. 2) ; therefore ba is to a C "s ba to af (v. 1... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...(2. vi.) : Let now BD be to DC, as BA to AC, and join AD ; the angle CAD is equal to the angle DAE. The same construction being made ; because BD is to DC, as BA to AC : and that BD is also to DC, as BA to AF (2. vi.) ; therefore BA is to AC, as BA to AF (11. v.)... | |
 | Euclides - 1855 - 270 pages
...side BA is to the side AC ; and let AD be joined. The angle BAC is bisected by the straight line A D. The same construction being made ; because BD is to...to DC, as BA is to AE, because AD is parallel to EC (VI. 2). Therefore BA is to AC, as BA is to AE (V. 11), and AC is equal to AE (V. 9). Because the angle... | |
 | Euclides - 1855 - 230 pages
...BD be to DC, as BA is to AC, and join AD ; then the angle CAD is equal to the angle DAE. The saine construction being made, because BD is to DC, as BA is to AC ; and also BD to DC, as BA is to AF (e); therefore BA is to AC, as BA is to AF (/); wherefore AC is equal... | |
 | Eucleides - 1860 - 396 pages
...[2.] Next let BD be to DC, as BA is to AC, and join AD ; then the angle CAD is equal to the angle DAE. The same construction being made, because BD is to DC, as BA is to AC ; and also BD to DC, as BA is to AF (e) ; therefore BA is to AC, as BA is to AF (/) ; wherefore AC is equal... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...7.) Next, let BD be to DC, as BA to AC, and join AD. The angle CA D, shall be equal to the angle DAE. The same construction being made, because BD is to DC, as BA to AC; and that BD is also to DC, as BA to AF; (vi. 2.) therefore BA is to AC, as Syf to AF: (v. 11.)... | |
 | Euclides - 1863 - 122 pages
...the exterior angle BAD is equal to the interior ^ _ , and opposite angle AEC (I. 29). But the a DC The same construction being made, because BD is to DC as BA is lV™ n 9^ 1St ? DC n a ? ?A»to AE.becaw, AD is parallel to A ^ ^ 2 ) ' theKfore BA is to AC as BA... | |
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Now let BD be to DC, as BA to AC, and join AD ; the angle CAD is equal to the angle DAE. The same construction being made, because BD is to DC as BA to AC ; and also BD to DC, BA to AF (2. 
