Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey |
From inside the book
Results 1-5 of 21
Page 4
... sides are opposite . In the triangles ABC and DEF let the sides AB and AC , and their angle BAC , in the former the sides DE and DF , and their angle EDF , in the latter , each to each . Then it is to be proved that 1. The base BC the ...
... sides are opposite . In the triangles ABC and DEF let the sides AB and AC , and their angle BAC , in the former the sides DE and DF , and their angle EDF , in the latter , each to each . Then it is to be proved that 1. The base BC the ...
Page 6
... sides are produced , the angles upon the other side of the base are also equal to each other . = Let ABC be an ... former the sides GA and AB , and their angle GAB , in the latter , each to each ( hyp . and cons . ) , therefore the base ...
... sides are produced , the angles upon the other side of the base are also equal to each other . = Let ABC be an ... former the sides GA and AB , and their angle GAB , in the latter , each to each ( hyp . and cons . ) , therefore the base ...
Page 7
Euclides, Frederick Burn Harvey. the sides BF and FC , and their angle BFC , in the former = the sides CG and GB , and their angle CGB , in the latter , each to each ( cons . and proof above ) , therefore the angle BCF = the angle CBG ...
Euclides, Frederick Burn Harvey. the sides BF and FC , and their angle BFC , in the former = the sides CG and GB , and their angle CGB , in the latter , each to each ( cons . and proof above ) , therefore the angle BCF = the angle CBG ...
Page 8
... sides also which subtend , or are opposite to , the equal angles , are equal to each other . Let ABC be a triangle ... former = the sides AC and CB , and their angle ACB , in the latter , each to each ( hyp . and cons . ) , therefore the ...
... sides also which subtend , or are opposite to , the equal angles , are equal to each other . Let ABC be a triangle ... former = the sides AC and CB , and their angle ACB , in the latter , each to each ( hyp . and cons . ) , therefore the ...
Page 12
... sides AB , BC , and CA in the former the sides DE , EF , and FD in the latter , each to each . Then it is to be proved that 1. The angle BAC 2. The angle ABC the angle EDF , the angle DEF . 3. The angle ACB = the angle DFE да F PROOF ...
... sides AB , BC , and CA in the former the sides DE , EF , and FD in the latter , each to each . Then it is to be proved that 1. The angle BAC 2. The angle ABC the angle EDF , the angle DEF . 3. The angle ACB = the angle DFE да F PROOF ...
Other editions - View all
Common terms and phrases
ABC and ABD AC and CD ACD is greater adjacent angles alternate angle angle ABC angle ACB angle AGH angle BAC angle CEB angle DEF angle EDF angle GHD Arithmetic BA and AC base BC Beginners bisected CONSTRUCTION.-1 crown 8vo describe the square double the square draw English Grammar Euclid exterior angle former the sides Geography given straight line gnomon half a right History i.e. the angle interior and opposite isosceles triangle join Latin Let ABC line be divided Lists of School-Books Maps note 2 def opposite angle Palæstra parallelogram post 8vo produced PROOF.-Because Proposition proved Q. E. D. Exercises Q. E. D. PROP rectangle contained right angles side AB side AC small 8vo square on AC straight line CD THEOREM triangle ABC twice the rect twice the rectangle vols Wherefore