Euclidian Geometry |
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Page xv
... parallelogram . O circle . Oce circumference . 1 perpendicular ( to ) . Il parallel . + together with . = equal to . > greater than . < less than . ... because . ... therefore . : is to . The object aimed at is merely to place before ...
... parallelogram . O circle . Oce circumference . 1 perpendicular ( to ) . Il parallel . + together with . = equal to . > greater than . < less than . ... because . ... therefore . : is to . The object aimed at is merely to place before ...
Page 44
... parallelogram is a four - sided figure , of which the opposite sides are parallel . The straight line joining the opposite angles of a quad- rilateral figure is called a diagonal . PROPOSITION XXVI . The opposite sides and angles of a ...
... parallelogram is a four - sided figure , of which the opposite sides are parallel . The straight line joining the opposite angles of a quad- rilateral figure is called a diagonal . PROPOSITION XXVI . The opposite sides and angles of a ...
Page 45
... opposite to these are right △ s . ( 1.26 ) DEFINITION . A rectangle is a right - angled parallelogram , and is said to be contained by any two of its adjacent sides . DEFINITION . A square is a four - sided figure QUADRILATERALS . 45.
... opposite to these are right △ s . ( 1.26 ) DEFINITION . A rectangle is a right - angled parallelogram , and is said to be contained by any two of its adjacent sides . DEFINITION . A square is a four - sided figure QUADRILATERALS . 45.
Page 51
... ; ... all the 4s of AK are rights ; ..the AK is both equilateral and rectangular , and is .. a square . ( I. 27 ) AREAS . PROPOSITION XXXI . Parallelograms on the same base 4-2 QUADRILATERALS AND MULTILATERALS . 51 PROBLEM K. ...
... ; ... all the 4s of AK are rights ; ..the AK is both equilateral and rectangular , and is .. a square . ( I. 27 ) AREAS . PROPOSITION XXXI . Parallelograms on the same base 4-2 QUADRILATERALS AND MULTILATERALS . 51 PROBLEM K. ...
Page 52
Francis Cuthbertson. AREAS . PROPOSITION XXXI . Parallelograms on the same base and between the same parallels are equal . A B D E F A E D F с B C Let the s ABCD , EBCF be on the same base BC , and between the same parallels AF , BC ...
Francis Cuthbertson. AREAS . PROPOSITION XXXI . Parallelograms on the same base and between the same parallels are equal . A B D E F A E D F с B C Let the s ABCD , EBCF be on the same base BC , and between the same parallels AF , BC ...
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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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