The First Two Books of the Elements of Euclid ... with Additional Figures, Notes, Explanations, and Deductions, by N. Pocock1852 |
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Side
... added , it has been kept in view to interest , and to avoid frightening the learner . Few students , excepting those who have advanced further , can do such Deductions as are usually added to editions of Euclid ; and the consequence is ...
... added , it has been kept in view to interest , and to avoid frightening the learner . Few students , excepting those who have advanced further , can do such Deductions as are usually added to editions of Euclid ; and the consequence is ...
Side 11
... added to equals , the wholes are equal . III . If equals be taken from equals , the remainders are equal . IV . If equals be added to unequals , the wholes are unequal . V. If equals be taken from unequals , the remainders are unequal ...
... added to equals , the wholes are equal . III . If equals be taken from equals , the remainders are equal . IV . If equals be added to unequals , the wholes are unequal . V. If equals be taken from unequals , the remainders are unequal ...
Side 88
... added together . ] PROP . II . THEOR . If a straight line be divided into any two parts , the rectangles contained by the whole and each of the parts are together equal to the square of the whole line . Let the straight line AB be ...
... added together . ] PROP . II . THEOR . If a straight line be divided into any two parts , the rectangles contained by the whole and each of the parts are together equal to the square of the whole line . Let the straight line AB be ...
Side 89
... added together make twenty - five . It should be observed that if one side of a rectangle contains any given number of units ( six for instance ) , and the other side any other given num- ber ( four for instance ) , the whole rectangle ...
... added together make twenty - five . It should be observed that if one side of a rectangle contains any given number of units ( six for instance ) , and the other side any other given num- ber ( four for instance ) , the whole rectangle ...
Side 91
... added together make up Or , again , 12 multiplied by 7 is equal to 84 . 7 multiplied by 5 is equal to 35 , 60 . 7 ( squared or ) multiplied by 7 is equal to 49 . These added together make up 84. ] BOOK II . BOOK II . a xlvi . 1 . PROP ...
... added together make up Or , again , 12 multiplied by 7 is equal to 84 . 7 multiplied by 5 is equal to 35 , 60 . 7 ( squared or ) multiplied by 7 is equal to 49 . These added together make up 84. ] BOOK II . BOOK II . a xlvi . 1 . PROP ...
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The First Two Books of the Elements of Euclid, with Additional Figures ... Euclides Ingen forhåndsvisning tilgjengelig - 2016 |
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adjacent angles alternate angles angle ABC angle ACB angle AGH angle BAC angle EDF angled triangle angles CBA angles equal Arithmetic base BC BC is equal bisected bound centre cloth coincide Delectus diameter double English Notes equal to BC Eton Eton College Euclid's Elements Exercises exterior angle four right angles Geography given point given rectilineal angle given straight line gnomon greater Greek half a right interior and opposite isosceles JANE MARCET join Let ABC Let the straight Lexicon M.A. New Edition Maps opposite angle parallel to CD parallelogram perpendicular Post 8vo produced PROP Proposition rectangle BC rectangle contained rectilineal figure remaining angle rhombus right angles Schools Shrewsbury School sides BA sides equal square described square of AC THEOR triangle ABC triangle DEF twice the rectangle unequal VALPY Valpy's wherefore xxxi
Populære avsnitt
Side 18 - If two triangles have two sides of the one equal to two sides of the...
Side 67 - To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.
Side 51 - That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than the two right angles.
Side 109 - ... subtending the obtuse angle, is greater than the squares of the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse angle. Let ABC be an obtuse-angled triangle, having the obtuse angle ACB, and from the point A let AD be drawn perpendicular to BC produced.
Side 12 - Mrs. R. Lee's Elements of Natural History ; or, First Principles of Zoology : Comprising the Principles of Classification, interspersed with amusing and instructive Accounts of the most remarkable Animals.
Side 53 - To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and BC the given straight line ; it is required to draw a straight line E iR.
Side 76 - In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle.
Side 34 - ABD, the less to the greater, which is impossible ; therefore BE is not in the same straight line with BC. And in like manner, it may be demonstrated, that no other can be in the same straight line with it but BD, which therefore is in the same straight line with CB.
Side 11 - LET it be granted that a straight line may be drawn from any one point to any other point.
Side 37 - Any two angles of a triangle are together less than two right angles. Let ABC be any triangle ; any two of its angles together are less than two right angles.