The Elements of Euclid for the Use of Schools and CollegesMacmillan, 1872 - 400 Seiten |
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Seite 4
... square is that which has all its sides equal , and all its angles right angles : 31 . An oblong is that which has all its angles right angles , but not all its sides equal : 32. A rhombus is that which has all its sides equal , but its ...
... square is that which has all its sides equal , and all its angles right angles : 31 . An oblong is that which has all its angles right angles , but not all its sides equal : 32. A rhombus is that which has all its sides equal , but its ...
Seite 5
... square and rhombus are used in the sense defined by Euclid ; and the word rectangle is used instead of the word oblong . Some writers propose to restrict the word trapezium to a quadrilateral which has two of its sides parallel ; and it ...
... square and rhombus are used in the sense defined by Euclid ; and the word rectangle is used instead of the word oblong . Some writers propose to restrict the word trapezium to a quadrilateral which has two of its sides parallel ; and it ...
Seite 48
... applying to the given straight line a parallelogram equal to the first tri- angle ABD , and having an angle equal to the given angle ; and so on . [ I. 44 . PROPOSITION 46. PROBLEM . To describe a square on a 48 EUCLID'S ELEMENTS .
... applying to the given straight line a parallelogram equal to the first tri- angle ABD , and having an angle equal to the given angle ; and so on . [ I. 44 . PROPOSITION 46. PROBLEM . To describe a square on a 48 EUCLID'S ELEMENTS .
Seite 49
... square on AB . From the point A draw AC at right angles to AB ; [ I. 11 . and make AD equal to AB ; [ I. 3 . through D draw DE parallel to AB ; and through B draw BE parallel to AD . [ I. 31 . ADEB shall be a square . For ADEB is by ...
... square on AB . From the point A draw AC at right angles to AB ; [ I. 11 . and make AD equal to AB ; [ I. 3 . through D draw DE parallel to AB ; and through B draw BE parallel to AD . [ I. 31 . ADEB shall be a square . For ADEB is by ...
Seite 50
... square which is de- scribed on the side subtending the right angle is equal to the squares described on the sides which contain the right angle . Let ABC be a right - angled triangle , having the right angle BAC : the square described ...
... square which is de- scribed on the side subtending the right angle is equal to the squares described on the sides which contain the right angle . Let ABC be a right - angled triangle , having the right angle BAC : the square described ...
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Häufige Begriffe und Wortgruppen
ABCD AC is equal angle ABC angle ACB angle BAC angle EDF angles equal Axiom base BC bisects the angle centre chord circle ABC circle described circumference Construction Corollary describe a circle diameter double draw a straight equal angles equal to F equiangular equilateral equimultiples Euclid Euclid's Elements exterior angle given circle given point given straight line gnomon Hypothesis inscribed intersect isosceles triangle less Let ABC magnitudes middle point multiple opposite angles opposite sides parallelogram perpendicular plane polygon produced proportionals PROPOSITION 13 Q.E.D. PROPOSITION quadrilateral radius rectangle contained rectilineal figure remaining angle rhombus right angles right-angled triangle segment shew shewn side BC square on AC straight line &c straight line drawn tangent THEOREM touches the circle triangle ABC triangle DEF twice the rectangle vertex Wherefore