The Elements of Euclid for the Use of Schools and CollegesMacmillan, 1872 - 400 sider |
Inni boken
Resultat 1-5 av 51
Side 39
... ABCD , EBCF be on the same base BC , and between the same parallels AF , BC : the paral- lelogram ABCD shall be equal to the parallelogram EBCF . If the sides AD , DF of the parallelograms ABCD , DBCF , opposite to the base BC , be ...
... ABCD , EBCF be on the same base BC , and between the same parallels AF , BC : the paral- lelogram ABCD shall be equal to the parallelogram EBCF . If the sides AD , DF of the parallelograms ABCD , DBCF , opposite to the base BC , be ...
Side 40
... ABCD , EFGH be parallelograms on equal bases BC , FG , and between the same parallels AH , BG : the parallelogram ABCD shall be equal to the parallelogram EFGH . Join BE , CH . Then , because BC is equal to FG , [ Hyp . and FG to EH ...
... ABCD , EFGH be parallelograms on equal bases BC , FG , and between the same parallels AH , BG : the parallelogram ABCD shall be equal to the parallelogram EFGH . Join BE , CH . Then , because BC is equal to FG , [ Hyp . and FG to EH ...
Side 43
... ABCD and the triangle EBC be on the same base BC , and between the same parallels BC , AE : the parallelogram ABCD shall be double of the triangle EBC . Join AC . Then the triangle ABC is equal to the triangle EBC , because they are on ...
... ABCD and the triangle EBC be on the same base BC , and between the same parallels BC , AE : the parallelogram ABCD shall be double of the triangle EBC . Join AC . Then the triangle ABC is equal to the triangle EBC , because they are on ...
Side 45
... ABCD be a parallelogram , of which the diameter is AC ; and EH , GF parallelograms about AC , that is , through which AC passes ; and BK , KD the other paral- lelograms which make up the whole figure ABCD , and which are therefore ...
... ABCD be a parallelogram , of which the diameter is AC ; and EH , GF parallelograms about AC , that is , through which AC passes ; and BK , KD the other paral- lelograms which make up the whole figure ABCD , and which are therefore ...
Side 47
... ABCD be the given rectilineal figure , and E the given rectilineal angle : it is required to describe a par- allelogram equal to ABCD , and having an angle equal to E , B E F G K H M Join DB , and describe the parallelogram FH equal to ...
... ABCD be the given rectilineal figure , and E the given rectilineal angle : it is required to describe a par- allelogram equal to ABCD , and having an angle equal to E , B E F G K H M Join DB , and describe the parallelogram FH equal to ...
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Vanlige uttrykk og setninger
ABCD AC is equal angle ABC angle ACB angle BAC angle EDF angles equal Axiom base BC bisects the angle centre chord circle ABC circle described circumference Construction Corollary describe a circle diameter double draw a straight equal angles equal to F equiangular equilateral equimultiples Euclid Euclid's Elements exterior angle given circle given point given straight line gnomon Hypothesis inscribed intersect isosceles triangle less Let ABC magnitudes middle point multiple opposite angles opposite sides parallelogram perpendicular plane polygon produced proportionals PROPOSITION 13 Q.E.D. PROPOSITION quadrilateral radius rectangle contained rectilineal figure remaining angle rhombus right angles right-angled triangle segment shew shewn side BC square on AC straight line &c straight line drawn tangent THEOREM touches the circle triangle ABC triangle DEF twice the rectangle vertex Wherefore