A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C. Mansford1874 |
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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 ...
Página 93
... half the line and of the square on the line between the points of section . Let the straight line AB be divided into two 1 . equal parts at the point C , and into two un- equal parts at the point D : the squares on AD , DB shall be ...
... half the line and of the square on the line between the points of section . Let the straight line AB be divided into two 1 . equal parts at the point C , and into two un- equal parts at the point D : the squares on AD , DB shall be ...
Página 94
... half a right angle . For the same reason each of the angles CEB , EBC is half a right angle . Therefore the whole angle AEB is a right angle . And because the angle GEF is half a right angle , and the angle EGF a right angle , for it is ...
... half a right angle . For the same reason each of the angles CEB , EBC is half a right angle . Therefore the whole angle AEB is a right angle . And because the angle GEF is half a right angle , and the angle EGF a right angle , for it is ...
Página 95
... half the line bisected and of the square on the line made up of the half and the part produced . + 1 . Let the straight line AB be bisected at C , and produced to D : the squares on AD , DB shall be together double of the squares on AC ...
... half the line bisected and of the square on the line made up of the half and the part produced . + 1 . Let the straight line AB be bisected at C , and produced to D : the squares on AD , DB shall be together double of the squares on AC ...
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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 bisect centre circle 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 less 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