The first and second books of Euclid explained to beginners, by C.P. Mason1872 - Geometry |
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Page 5
... opposite to the right angle , is called the hypotenuse . Def . XXVIII . An obtuse - angled triangle is a triangle one of whose angles is obtuse . Def . XXIX . An acute - angled triangle is a triangle which has all its angles acute . Def ...
... opposite to the right angle , is called the hypotenuse . Def . XXVIII . An obtuse - angled triangle is a triangle one of whose angles is obtuse . Def . XXIX . An acute - angled triangle is a triangle which has all its angles acute . Def ...
Page 19
... opposite to the line on which it was described . The radius with which the second circle is to be described is to be obtained by producing that side of the equilateral △ which lies between this vertex and the end of the given line ...
... opposite to the line on which it was described . The radius with which the second circle is to be described is to be obtained by producing that side of the equilateral △ which lies between this vertex and the end of the given line ...
Page 22
... opposite . In proving this proposition we are supposed to be able to place a given figure in any other position that we choose ( see p . 9 ) ; and we are supposed to know- 1. That two straight lines may be so placed one upon the other ...
... opposite . In proving this proposition we are supposed to be able to place a given figure in any other position that we choose ( see p . 9 ) ; and we are supposed to know- 1. That two straight lines may be so placed one upon the other ...
Page 25
... opposite the equal sides are equal to one another , and that if the equal sides be produced , the s at the other side of the base are equal to each other . For the construction used in proving this pro- position we EXPLAINED TO ...
... opposite the equal sides are equal to one another , and that if the equal sides be produced , the s at the other side of the base are equal to each other . For the construction used in proving this pro- position we EXPLAINED TO ...
Page 28
... opposite the equal sides of the isosceles △ A B C. Therefore the first part of the proposition has been proved . The second part has also been proved . For the Zs at the other side of the base , namely F A C and LCA , are parts of the ...
... opposite the equal sides of the isosceles △ A B C. Therefore the first part of the proposition has been proved . The second part has also been proved . For the Zs at the other side of the base , namely F A C and LCA , are parts of the ...
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The First and Second Books of Euclid Explained to Beginners, by C.P. Mason Euclides No preview available - 2016 |
Common terms and phrases
A B and CD A B is equal A C and CB Æneid axiom beginner bisected centre Consequently diagonal draw a straight Edition equal in area equal respectively equal to twice equilateral Euclid exterior exterior angle Fcap figure finite right line follows formed given finite right given line given point given rectilineal given straight line gnomon greater half a right hypotenuse interior and opposite isosceles Join the points join two given Jugurtha Latin length less line A B line CD linear units lines are parallel magnitudes meeting the line opposite sides parallelogram point F proof Prop proposition prove this proposition rectangle contained right angles side A C straight line meets suppose three sides triangle unequal
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