Euclidian Geometry |
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Page vi
... produced in either direction , but rather that of a figure whose opposite sides are equidistant . Again , Euclid's treatment of ratio and proportion is objected to as being only adapted to the grasp of the advanced geometrician ; one of ...
... produced in either direction , but rather that of a figure whose opposite sides are equidistant . Again , Euclid's treatment of ratio and proportion is objected to as being only adapted to the grasp of the advanced geometrician ; one of ...
Page 5
... produced , the angles on the other side of the base shall be equal . Let ABC be an isosceles △ , having the side AB = the side AC , then shall the ABC be = the A ACB ; also let the equal sides AB , AC be produced to G , H ; then shall ...
... produced , the angles on the other side of the base shall be equal . Let ABC be an isosceles △ , having the side AB = the side AC , then shall the ABC be = the A ACB ; also let the equal sides AB , AC be produced to G , H ; then shall ...
Page 14
... produced would fall along the former position of the other . Thus the arms of A would fall along the former positions of the arms of B ; .. the angles A , B are equal to one another . Similarly the angles H , K may be proved equal . COR ...
... produced would fall along the former position of the other . Thus the arms of A would fall along the former positions of the arms of B ; .. the angles A , B are equal to one another . Similarly the angles H , K may be proved equal . COR ...
Page 15
... producing one of its arms FE is formed by producing the other arm . = the adjacent FEL K L For they are opposite angles . - ... if an angle one of its adjacent angles it is also the other . ..if one straight line is to another , the ...
... producing one of its arms FE is formed by producing the other arm . = the adjacent FEL K L For they are opposite angles . - ... if an angle one of its adjacent angles it is also the other . ..if one straight line is to another , the ...
Page 18
... LS are together = 4 right L s . For produce CB to X. = ; two rights . Then all the 4S ABC , CBF , FBG , GB the 4s on one side of CBX together other side of CBX , and ar PROPOSITION X. If two straight lines , drawn from one. 18 RIGHT ANGLES ...
... LS are together = 4 right L s . For produce CB to X. = ; two rights . Then all the 4S ABC , CBF , FBG , GB the 4s on one side of CBX together other side of CBX , and ar PROPOSITION X. If two straight lines , drawn from one. 18 RIGHT ANGLES ...
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Common terms and phrases
Algebra Arithmetic base BEGINNERS Cambridge centre chord Christ's College circumference cloth Conic Sections Crown 8vo Describe a circle diagonals diameter divided ELEMENTARY TREATISE English equiangular equilateral Euclid Examples Extra fcap GEOMETRY given angle given circle given point given straight line Grammar greater H Let Hence inscribed intersecting isosceles triangle John's College Latin Let ABC line bisecting locus magnitudes Mathematical meet Owens College parallel parallelogram perimeter perpendicular plane PROBLEM produced Professor proportional PROPOSITION radius ratio rect rectangle rectangle contained rectilineal figure regular polygon render respectively revised rhombus right angles Schools Second Edition segment Similarly squares on AC straight line joining student tangent THEOREM TRIGONOMETRY twice rectangle twice the squares Uppingham School vertex
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Page 157 - The first of four magnitudes is said to have the same ratio to the second, which the third has to the fourth, when any equimultiples whatsoever of the first and third being taken, and any equimultiples whatsoever of the second and fourth ; if the multiple of the first be less than that of the second, the multiple of the third is also less than that of the fourth...
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