A School Geometry, Deler 1-4Macmillan and Company, 1908 |
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Side xiii
... TRAPEZIUM . ( ii ) ANY QUADRILATERAL . AREA OF ANY RECTILINEAL FIGURE - THEOREM 29. [ Euc . I. 47. PYTHAGORAS'S THEOREM . ] In a right - angled triangle the square described on the hypotenuse is equal to the sum of the squares described ...
... TRAPEZIUM . ( ii ) ANY QUADRILATERAL . AREA OF ANY RECTILINEAL FIGURE - THEOREM 29. [ Euc . I. 47. PYTHAGORAS'S THEOREM . ] In a right - angled triangle the square described on the hypotenuse is equal to the sum of the squares described ...
Side 56
... its sides equal , but its angles are not right angles , 6. A trapezium is a quadrilateral which has one pair of parallel sides . THEOREM 20. [ Euclid I. 33. ] The straight lines 56 GEOMETRY . Parallelograms DEFINITIONS.
... its sides equal , but its angles are not right angles , 6. A trapezium is a quadrilateral which has one pair of parallel sides . THEOREM 20. [ Euclid I. 33. ] The straight lines 56 GEOMETRY . Parallelograms DEFINITIONS.
Side 65
... trapezium are a centimetres and b centi- metres in length . Prove that the line joining the middle points of the oblique sides is parallel to the parallel sides , and that its length is ( a + b ) centimetres . 12. OX and OY are two ...
... trapezium are a centimetres and b centi- metres in length . Prove that the line joining the middle points of the oblique sides is parallel to the parallel sides , and that its length is ( a + b ) centimetres . 12. OX and OY are two ...
Side 109
... trapezium is parallel to each of the parallel sides . 8. ABCD is a parallelogram , and X , Y are the middle points of the sides AD , BC ; if Z is any point in XY , or XY produced , shew that the triangle AZB is one quarter of the ...
... trapezium is parallel to each of the parallel sides . 8. ABCD is a parallelogram , and X , Y are the middle points of the sides AD , BC ; if Z is any point in XY , or XY produced , shew that the triangle AZB is one quarter of the ...
Side 112
... trapezium . ( ii ) any quadrilateral . ( i ) Let ABCD be a trapezium , having the sides AB , CD parallel . Join BD , and from C and D draw perpendiculars CF , DE to AB . Let the parallel sides AB , CD measure a and b units of length ...
... trapezium . ( ii ) any quadrilateral . ( i ) Let ABCD be a trapezium , having the sides AB , CD parallel . Join BD , and from C and D draw perpendiculars CF , DE to AB . Let the parallel sides AB , CD measure a and b units of length ...
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Vanlige uttrykk og setninger
AB² adjacent angles altitude angle equal base BC bisector bisects circle of radius circle whose centre circles which touch circum-circle circumference circumscribed coincide common tangents concyclic Construct a triangle diagonals diagram diameter distance divided draw a circle equal in area equidistant escribed circles Euclid exterior angles Find the area find the locus given angle given circle given point given straight line given triangle greater Hence hypotenuse inches inscribed isosceles triangle length Let ABC meet metres middle point millimetre nine-points circle opposite sides orthocentre par¹ parallelogram pedal triangle perp PROBLEM produced Proof radii rect rectangle rectangle contained rectilineal figure required to prove respectively rhombus right angles right-angled triangle segment shew shewn straight line drawn tangent Theor Theorem trapezium triangle ABC triangles are equal vertex vertical angle
Populære avsnitt
Side xi - IF two triangles have two angles of 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...
Side 44 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Side 190 - Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle.
Side 12 - If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line.
Side 5 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Side 122 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
Side 28 - If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles.
Side x - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Side 65 - The sum of the perpendiculars from any point within an equilateral triangle to the three sides is equal to the altitude of the triangle (Fig.