Euclidian Geometry |
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Page vi
... then calculating their duplicate ratio . In order to make the Second Book , which treats of the relations existing between the rectangles under the segments of a line divided in various ways , available for vi PREFACE .
... then calculating their duplicate ratio . In order to make the Second Book , which treats of the relations existing between the rectangles under the segments of a line divided in various ways , available for vi PREFACE .
Page vii
Francis Cuthbertson. of a line divided in various ways , available for the extensive development of this part of Geometry of which it is capable , Euclid's second and eight following propositions should be shewn to be deducible from the ...
Francis Cuthbertson. of a line divided in various ways , available for the extensive development of this part of Geometry of which it is capable , Euclid's second and eight following propositions should be shewn to be deducible from the ...
Page 50
... divided into five equal parts . Draw DM , EK || to AB . Then the 4s of ADME are the 4s of △ AXD ; ( 1. 31 ) = and DE is = AD . Δ · . DM = AX ( 1. 3 ) ; . ' . XY = AX . Similarly YZ , & c . are each = AX , and .. AB is divided into ...
... divided into five equal parts . Draw DM , EK || to AB . Then the 4s of ADME are the 4s of △ AXD ; ( 1. 31 ) = and DE is = AD . Δ · . DM = AX ( 1. 3 ) ; . ' . XY = AX . Similarly YZ , & c . are each = AX , and .. AB is divided into ...
Page 72
... divided into two equal parts in C , and into two unequal parts in D ; then shall the squares on AD , DH be = twice the squares on AC , CD . = F G K H We shall first describe a square twice the squares on AC , CD . Draw CF and = AC ...
... divided into two equal parts in C , and into two unequal parts in D ; then shall the squares on AD , DH be = twice the squares on AC , CD . = F G K H We shall first describe a square twice the squares on AC , CD . Draw CF and = AC ...
Page 82
... divided into any number of parts , the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line and the several parts of the divided line . B T Q G H K Let A and BC be two straight lines ...
... divided into any number of parts , the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line and the several parts of the divided line . B T Q G H K Let A and BC be two straight lines ...
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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 10 - New Edition. Crown 8vo. $s. KEY TO PLANE TRIGONOMETRY. Crown 8vo. los. 6d. A TREATISE ON SPHERICAL TRIGONOMETRY. New Edition, enlarged. Crown 8vo. 4-?. 6d. PLANE CO-ORDINATE GEOMETRY, as applied to the Straight Line and the Conic Sections. With numerous Examples.
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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...
Page 15 - ... and the principles on which the observations made with these instruments are treated for deduction of the distances and weights of the bo.iits of the Solar System, and of a few stars, omitting all minutiit of Elementary Class- Books — continued. formulcE, and all troublesome details of calculation.