The first and second books of Euclid explained to beginners, by C.P. Mason1872 - Geometry |
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Page 6
... Third postulate . Let it be granted , that a circle may be described with any given point as centre , and at any distance from that centre . It is obvious , that no combination of simpler figures 6 THE FIRST BOOK OF EUCLID.
... Third postulate . Let it be granted , that a circle may be described with any given point as centre , and at any distance from that centre . It is obvious , that no combination of simpler figures 6 THE FIRST BOOK OF EUCLID.
Page 8
... third , and make the two interior angles on the same side of it together less than two right angles , those lines will meet if produced . C. If part of one bounded figure ( and part only ) be inside another bounded figure , the ...
... third , and make the two interior angles on the same side of it together less than two right angles , those lines will meet if produced . C. If part of one bounded figure ( and part only ) be inside another bounded figure , the ...
Page 20
... third and fourth cases , which allows the description of the construction , and the proof of its cor- rectness , to remain word for word the same in all four cases . When the proposition has been mastered with the first construction ...
... third and fourth cases , which allows the description of the construction , and the proof of its cor- rectness , to remain word for word the same in all four cases . When the proposition has been mastered with the first construction ...
Page 22
... third sides , will also be equal , and the re- maining angles will be equal , each to each , those being equal to one another to which equal sides are opposite . In proving this proposition we are supposed to be able to place a given ...
... third sides , will also be equal , and the re- maining angles will be equal , each to each , those being equal to one another to which equal sides are opposite . In proving this proposition we are supposed to be able to place a given ...
Page 41
... third part of two rights , and by bisecting that , the third part of one right . Certain propositions in the Fourth Book enable us to find the fifth , and the fifteenth part of a right . Suppose A B to be the given finite right line ...
... third part of two rights , and by bisecting that , the third part of one right . Certain propositions in the Fourth Book enable us to find the fifth , and the fifteenth part of a right . Suppose A B to be the given finite right line ...
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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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