The first and second books of Euclid explained to beginners, by C.P. Mason1872 - Geometry |
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Page 7
... unequal magnitudes be added to the larger of two other unequal magnitudes , and the less to the less , the sum of the two larger magnitudes will be larger than the sum of the two less . * The process by which any figure is produced , is ...
... unequal magnitudes be added to the larger of two other unequal magnitudes , and the less to the less , the sum of the two larger magnitudes will be larger than the sum of the two less . * The process by which any figure is produced , is ...
Page 8
... unequal , the doubles of those halves , that is , the magnitudes themselves , would be unequal . The latter part of this axiom is commonly set down as a corollary to the thirteenth proposition ; but it is really made use of much earlier ...
... unequal , the doubles of those halves , that is , the magnitudes themselves , would be unequal . The latter part of this axiom is commonly set down as a corollary to the thirteenth proposition ; but it is really made use of much earlier ...
Page 10
... unequal , straight line , circle , & c . , there can be no mistake . But this , at the same time , occasions a danger to which beginners are liable . Many of the truths demonstrated are so very evident , that the mind gets impatient at ...
... unequal , straight line , circle , & c . , there can be no mistake . But this , at the same time , occasions a danger to which beginners are liable . Many of the truths demonstrated are so very evident , that the mind gets impatient at ...
Page 14
... unequal to each other . But this contradicts what was before known , that HEK and KEF , or ( what are the same s , ) MBA and A B C are equal to each other . Now a supposition , which of necessity leads to a contradiction of what is ...
... unequal to each other . But this contradicts what was before known , that HEK and KEF , or ( what are the same s , ) MBA and A B C are equal to each other . Now a supposition , which of necessity leads to a contradiction of what is ...
Page 30
... unequal . That A C and CB are not unequal is proved by showing that it leads to an absurdity to suppose that they are unequal . Suppose the side A ( ¦ were not equal to the side CB ; and suppose , first , that A C were greater than C B ...
... unequal . That A C and CB are not unequal is proved by showing that it leads to an absurdity to suppose that they are unequal . Suppose the side A ( ¦ were not equal to the side CB ; and suppose , first , that A C were greater than C B ...
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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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