The Elements of Euclid for the Use of Schools and Colleges: Comprising the First Six Books and Portions of the Eleventh and Twelfth BooksMacmillan, 1886 - 400 Seiten |
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Seite x
... divided into two parts ; the first part con- tains 440 exercises , which it is hoped will not be found beyond the power of early students ; the second part consists of the remainder , which may be reserved for practice at a later stage ...
... divided into two parts ; the first part con- tains 440 exercises , which it is hoped will not be found beyond the power of early students ; the second part consists of the remainder , which may be reserved for practice at a later stage ...
Seite 15
... the base AD is equal to the base DB . [ Constr . [ I. 4 . Wherefore the given straight line AB is divided into two equal parts at the point D. Q.E.F. PROPOSITION 11. PROBLEM . To draw a straight line at BOOK I. 9 , 10 . 15.
... the base AD is equal to the base DB . [ Constr . [ I. 4 . Wherefore the given straight line AB is divided into two equal parts at the point D. Q.E.F. PROPOSITION 11. PROBLEM . To draw a straight line at BOOK I. 9 , 10 . 15.
Seite 36
... divided into as many triangles as the figure has sides , by drawing straight lines from a point F within the figure to each of its angles . And by the preceding proposition , all the angles of these triangles are equal to twice as many ...
... divided into as many triangles as the figure has sides , by drawing straight lines from a point F within the figure to each of its angles . And by the preceding proposition , all the angles of these triangles are equal to twice as many ...
Seite 53
... 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 . Let A and BC be two straight lines ; and let ...
... 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 . Let A and BC be two straight lines ; and let ...
Seite 54
... divided into any two parts , the rectangles contained by the whole and each of the parts , are together equal to the square on the whole line . Let the straight line AB be divided into any two parts at the point C : the rectangle ...
... divided into any two parts , the rectangles contained by the whole and each of the parts , are together equal to the square on the whole line . Let the straight line AB be divided into any two parts at the point C : the rectangle ...
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Häufige Begriffe und Wortgruppen
ABCD angle ABC angle ACB angle BAC angle EDF angles equal Axiom base BC BC is equal 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