Gradations in Euclid : books i. and ii., with an explanatory preface [&c.] by H. Green1858 |
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Σελίδα v
... constructed . The APPENDIX , containing GEOMETRICAL ANALYSIS and GEOMETRICAL EXERCISES , appeared to the Writer needed for the completion of his plan , i . e . , for comprising a systematic teaching of Geometry , as far as the first and ...
... constructed . The APPENDIX , containing GEOMETRICAL ANALYSIS and GEOMETRICAL EXERCISES , appeared to the Writer needed for the completion of his plan , i . e . , for comprising a systematic teaching of Geometry , as far as the first and ...
Σελίδα vii
... construct these . The Uses and Applications of the Propositions , at least in a brief way , --and where requisite , the Algebraical and Arithmetical Illustrations , — should not be neglected : it is in these that the practical advantage ...
... construct these . The Uses and Applications of the Propositions , at least in a brief way , --and where requisite , the Algebraical and Arithmetical Illustrations , — should not be neglected : it is in these that the practical advantage ...
Σελίδα 3
... construct various lines , angles , and figures ; and thirty - four are theorems , being the expositions of new geometrical truths . Of these theo- rems , some may be regarded as simply subsidiary to the proof of others more important ...
... construct various lines , angles , and figures ; and thirty - four are theorems , being the expositions of new geometrical truths . Of these theo- rems , some may be regarded as simply subsidiary to the proof of others more important ...
Σελίδα 7
... construct a figure , or to solve a question . A Theorem is the assertion of a geometrical truth , and requires demonstration . it . The Data are the things granted in a problem ; The Quæsita are the things sought for in it ; The ...
... construct a figure , or to solve a question . A Theorem is the assertion of a geometrical truth , and requires demonstration . it . The Data are the things granted in a problem ; The Quæsita are the things sought for in it ; The ...
Σελίδα 40
... constructed : as the Sextant , an arc of 60 ° ; the Quadrant , an arc of 90 ° ; and the Theodolite , a whole circle of 360 ° , divided into two semicireles of 180 ° each . The Theodolite has revol- ving on its centre C , 40 DEFINITIONS .
... constructed : as the Sextant , an arc of 60 ° ; the Quadrant , an arc of 90 ° ; and the Theodolite , a whole circle of 360 ° , divided into two semicireles of 180 ° each . The Theodolite has revol- ving on its centre C , 40 DEFINITIONS .
Άλλες εκδόσεις - Προβολή όλων
Gradations in Euclid : books i. and ii., with an explanatory preface [&c ... Euclides Πλήρης προβολή - 1870 |
Gradations in Euclid: Books I. and II., with an Explanatory Preface [&C.] by ... Euclides Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
AB² ABCD AC² adjacent angles Algebra altitude angle equal angular point Arith Arithmetic ascertain Axiom bisect centre circle circumference Concl CONS construct DEANSGATE DEMONSTRATION.-P describe diagonal diameter distance drawn equal bases equilateral Euclid Euclid's Elements extremity Geometry given line given point given rectilineal given st greater hypotenuse inch interior angles intersect isosceles triangle JOHN HEYWOOD join LADC length less line be divided lines AC magnitude measure monad opposite angles opposite sides parallel parallelogram perpendicular plane Plane Geometry polygon premiss PROB produced Prop proposition Quæs radius Recap rectangle rectangle contained rectilineal angle rectilineal figure regular polygon right angles SCHOLIUM.-1 segment sides equal straight line surface trapezium twice vertical angle Wherefore
Δημοφιλή αποσπάσματα
Σελίδα 93 - If two triangles have two angles of the one equal to two angles of the other, each to each ; and one side equal to one side, viz. either the sides adjacent to the equal...
Σελίδα 105 - IF a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles.
Σελίδα 161 - If a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that part.
Σελίδα 41 - A segment of a circle, is the figure contained by a straight line and the circumference which it cuts off.
Σελίδα 93 - If two triangles have two sides of the one respectively equal to two sides of the other, and the contained angles supplemental, the two triangles are equal.
Σελίδα 100 - IF a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another; and the exterior angle equal to the interior and opposite upon the same side; and likewise the two interior angles upon the same side together equal to two right angles...
Σελίδα 180 - A circle is a plane figure contained by one line, which is called the circumference, and is such that all straight lines drawn from a certain point within the figure to the circumference, are equal to one another.
Σελίδα 18 - Pythagoras' theorem states that the square of the length of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the lengths of the other two sides.
Σελίδα 142 - If the square described upon one of the sides of a triangle, be equal to the squares described upon the other two sides of it ; the angle contained by these two sides is a right angle.
Σελίδα 44 - LET it be granted that a straight line may be drawn from any one point to any other point.