Mathews' Euclid examination papers ... on Euc. i.-iv |
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Resultat 1-5 av 11
Side 127
... intersect on the line which joins the middle points of the diagonals of the quadrilateral , and that the area of the greatest of such parallelograms is half that of the quadrilateral . Fan . 1869 . 1. Equal triangles on equal bases in ...
... intersect on the line which joins the middle points of the diagonals of the quadrilateral , and that the area of the greatest of such parallelograms is half that of the quadrilateral . Fan . 1869 . 1. Equal triangles on equal bases in ...
Side 132
... intersect in F , prove that AF bisects the angle EFD . 2. Describe a square equal to a given rectilineal figure . If the given rectilineal figure be that of Euclid I. 47 , show how to determine the required square graphically . 3. The ...
... intersect in F , prove that AF bisects the angle EFD . 2. Describe a square equal to a given rectilineal figure . If the given rectilineal figure be that of Euclid I. 47 , show how to determine the required square graphically . 3. The ...
Side 136
... intersect at right angles , in a fixed point P , prove that the feet of the per- pendiculars drawn from O and P to the sides of the quadri- lateral lie on a fixed circle , the centre of which is at the middle point of OP . 3. Upon a ...
... intersect at right angles , in a fixed point P , prove that the feet of the per- pendiculars drawn from O and P to the sides of the quadri- lateral lie on a fixed circle , the centre of which is at the middle point of OP . 3. Upon a ...
Side 142
... intersect . Through a given point draw a straight line equally inclined to two given straight lines . How many such lines may be drawn ? 2. Prove that the diagonals of the parallelogram bisect each other . Prove also , conversely , that ...
... intersect . Through a given point draw a straight line equally inclined to two given straight lines . How many such lines may be drawn ? 2. Prove that the diagonals of the parallelogram bisect each other . Prove also , conversely , that ...
Side 172
... intersect at the middle point of the base . Section IV . 1. From a given circle cut off a segment containing an angle equal to a given rectilineal angle . If two circles touch each other , any straight line drawn through the point of ...
... intersect at the middle point of the base . Section IV . 1. From a given circle cut off a segment containing an angle equal to a given rectilineal angle . If two circles touch each other , any straight line drawn through the point of ...
Vanlige uttrykk og setninger
acute angle angle contained angle equal angled triangle angular points base centre chord circle are equal circle described circumference cuts the circle Describe a square diameter draw a straight equal circles equal in area equilateral triangle exterior angle fixed circle given circle given point given square given straight line given triangle half the line hypothenuse Inscribe a circle isosceles triangle line be divided line be drawn line is equal LONDON SCHOOL BOARD London University MATRICULATION middle points Notes of Lessons obtuse angle opposite angles opposite sides parallel straight lines parallelogram are equal perpendicular point of contact proposition prove Pupil Teachers quadrilateral figure rectangle contained rectilineal figure rhombus right angles right-angled triangle segment side subtending sides containing sides equal square on half squares described straight line intercepted straight lines cut student tangents theorem third angle touch a circle triangle the square twice the rectangle vertex whole line
Populære avsnitt
Side 160 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Side 154 - If, from the ends of the side of a triangle, there be drawn two straight lines to a point within the triangle, these shall be less than, the other two sides of the triangle, but shall contain a greater angle. Let...
Side 184 - If a straight line touch a circle, and from the point of contact a chord be drawn, the angles which this chord makes with the tangent are equal to the angles in the alternate segments.
Side 156 - A tangent to a circle is perpendicular to the radius drawn to the point of contact.
Side 182 - IF a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles.
Side 153 - Any two sides of a triangle are together greater than the third side.
Side 167 - THE angles at the base of an isosceles triangle are equal to one another : and, if the equal sides be produced, the angles upon the other side of the base shall be equal.
Side 164 - AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part.
Side 130 - To describe an isosceles triangle, having each of the angles at the base double of the third angle.
Side 154 - Straight lines which are parallel to the same straight line are parallel to one another. Triangles and Rectilinear Figures. The sum of the angles of a triangle is equal to two right angles.