A Text-book of Euclid's Elements: For the Use of Schools : Parts I and II, Containing Books I-VI, Βιβλία 1-6Macmillan, 1889 - 382 σελίδες |
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Σελίδα 4
... quadrilateral is a plane figure bounded by four straight lines . The straight line which joins opposite angular points in a quadri- lateral is called a diagonal . 18 . A polygon is a plane figure bounded by more than four straight lines ...
... quadrilateral is a plane figure bounded by four straight lines . The straight line which joins opposite angular points in a quadri- lateral is called a diagonal . 18 . A polygon is a plane figure bounded by more than four straight lines ...
Σελίδα 5
... quadrilateral has all its sides equal and one angle a right angle , then all its angles will be right angles . ] 29. A rhombus is a four - sided figure which has all its sides equal , but its angles are not right angles . A trapezium is ...
... quadrilateral has all its sides equal and one angle a right angle , then all its angles will be right angles . ] 29. A rhombus is a four - sided figure which has all its sides equal , but its angles are not right angles . A trapezium is ...
Σελίδα 27
... quadrilateral are equal , shew that the opposite angles are also equal . 5 . Any two isosceles triangles XAB , YAB stand on the same base AB : shew that the angle XAY is equal to the angle XBY ; and that the angle AXY is equal to the ...
... quadrilateral are equal , shew that the opposite angles are also equal . 5 . Any two isosceles triangles XAB , YAB stand on the same base AB : shew that the angle XAY is equal to the angle XBY ; and that the angle AXY is equal to the ...
Σελίδα 38
... quadrilateral , if two opposite sides which are not parallel are produced to meet one another ; shew that the perimeter of the greater of the two triangles so formed is greater than the perimeter of the quadrilateral . 9. The sum of the ...
... quadrilateral , if two opposite sides which are not parallel are produced to meet one another ; shew that the perimeter of the greater of the two triangles so formed is greater than the perimeter of the quadrilateral . 9. The sum of the ...
Σελίδα 59
... quadrilateral figure is equal to four right angles . 6. Each angle of an equilateral triangle is two - thirds of a right angle . EXERCISES ON PROPOSITION 32 1. Prove that the three angles of a triangle are together equal to two right ...
... quadrilateral figure is equal to four right angles . 6. Each angle of an equilateral triangle is two - thirds of a right angle . EXERCISES ON PROPOSITION 32 1. Prove that the three angles of a triangle are together equal to two right ...
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ABCD AC is equal adjacent angles angle BAC angle equal angular points base BC bisected bisectors centre chord circumference circumscribed circle concyclic Constr Describe a circle diagonal diameter divided equal angles equal in area equiangular Euclid exterior angle find the locus given circle given point given straight line Given the base given triangle greater Hence hypotenuse inscribed circle isosceles triangle Let ABC line which joins magnitudes meet middle point nine-points circle opposite angle opposite sides orthocentre par¹ parallelogram parm pass pedal triangle perp perpendiculars drawn point of contact polygon produced Proof proportional PROPOSITION PROPOSITION 21 quadrilateral radius rect rectangle contained rectilineal figure regular polygon right angles segment shew shewn Similarly square straight line drawn tangent THEOREM triangle ABC vertex vertical angle Нур