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 3
... four straight lines : 23. Multilateral figures , or polygons , by more than four straight lines . 24. Of three - sided figures , An equilateral triangle is that which has three equal sides : 25. An isosceles triangle is that which has ...
... four straight lines : 23. Multilateral figures , or polygons , by more than four straight lines . 24. Of three - sided figures , An equilateral triangle is that which has three equal sides : 25. An isosceles triangle is that which has ...
Seite 4
... four - sided figures , 30 . A 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 ...
... four - sided figures , 30 . A 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 ...
Seite 5
... four - sided figures besides these are called trapeziums . 35. Parallel straight lines are such as are in the same plane , and which being produced ever so far both ways do not meet . [ Note . The terms oblong and rhomboid are not often ...
... four - sided figures besides these are called trapeziums . 35. Parallel straight lines are such as are in the same plane , and which being produced ever so far both ways do not meet . [ Note . The terms oblong and rhomboid are not often ...
Seite 20
... four right angles . Corollary 2. And consequently , that all the angles made by any number of straight lines meeting at one point , are together equal to four right angles . PROPOSITION 16. THEOREM . If one side of a triangle be ...
... four right angles . Corollary 2. And consequently , that all the angles made by any number of straight lines meeting at one point , are together equal to four right angles . PROPOSITION 16. THEOREM . If one side of a triangle be ...
Seite 36
... four right angles , are equal to twice as many right angles as the figure has sides . For any rectilineal figure ... four right angles . [ I. 15. Corollary 2 . Therefore all the interior angles of the figure , together with four right ...
... four right angles , are equal to twice as many right angles as the figure has sides . For any rectilineal figure ... four right angles . [ I. 15. Corollary 2 . Therefore all the interior angles of the figure , together with four right ...
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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