A School Euclid. Being Books I. & II. of Euclid's Elements, with Notes, Exercises and Explanations Appended to Each Proposition1875 - 112 páginas |
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Página 6
... half of the paper , but simply divides one half from the other . Further , although it has appreciable width , we can imagine these two halves of the leaf to meet in the middle of the crease , thus making at their junction a line ...
... half of the paper , but simply divides one half from the other . Further , although it has appreciable width , we can imagine these two halves of the leaf to meet in the middle of the crease , thus making at their junction a line ...
Página 69
... half that of a rectangle having the same base and altitude . PROPOSITION 42. PROBLEM . To describe a parallelogram that shall be equal to a given triangle , and have one of its angles equal to a given rectilineal angle . Let ABC be the ...
... half that of a rectangle having the same base and altitude . PROPOSITION 42. PROBLEM . To describe a parallelogram that shall be equal to a given triangle , and have one of its angles equal to a given rectilineal angle . Let ABC be the ...
Página 87
... half the line . PROPOSITION 5 . THEOREM . If a straight line be divided into two equal parts and also into two unequal parts , the rectangle contained by the unequal parts , together with the square on the line between the points of ...
... half the line . PROPOSITION 5 . THEOREM . If a straight line be divided into two equal parts and also into two unequal parts , the rectangle contained by the unequal parts , together with the square on the line between the points of ...
Página 88
... half the line , and the line between the points of section and the lesser segment is the difference of the same two lines . 3. Again , since the rectangle contained by the unequal seg- ments , together with the sq . on CD , always makes ...
... half the line , and the line between the points of section and the lesser segment is the difference of the same two lines . 3. Again , since the rectangle contained by the unequal seg- ments , together with the sq . on CD , always makes ...
Página 89
... half the line bisected , is equal to the square on the straight line which is made up of the half and the part produced . 1 . Let the straight line AB be bisected at the point C , and produced to the point D ; the rectangle AD , DB ...
... half the line bisected , is equal to the square on the straight line which is made up of the half and the part produced . 1 . Let the straight line AB be bisected at the point C , and produced to the point D ; the rectangle AD , DB ...
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A School Euclid, Being Books I. & II. of Euclid's Elements, with Notes by C ... Euclides Sin vista previa disponible - 2015 |
Términos y frases comunes
AC is equal adjacent angles alternate angles angle ABC angle ACB angle AGH angle BAC angle BCD angle EDF angle equal angles are equal angles CEA axioms base BC BC is equal bisect centre coincide Const diagonals diameter double equal sides equal to BC equal to twice equilateral triangle Euclid exterior angle fore four right angles given point given rectilineal angle given straight line gnomon half a right hypotenuse interior and opposite isosceles triangle join Let ABC Let the straight obtuse opposite angle opposite sides parallel to CD parallelogram parallelogram ABCD perpendicular produced prop quadrilateral rectangle AC rectangle contained remaining angle rhombus right angles right-angled triangle shew side BC sides equal square described square on AC THEOREM third angle triangle ABC triangle DEF truths twice the rectangle unequal