Mathews' Euclid examination papers ... on Euc. i.-iv |
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Side 119
Edward Harri Mathews. are problematical . Hence greater attention should be given to exercises of this class . HINTS FOR PROVING THEOREMS . ( a ) A ... line AB the st . line AC , without showing that he knows the suppressed premiss ( Def . 15 ) ...
Edward Harri Mathews. are problematical . Hence greater attention should be given to exercises of this class . HINTS FOR PROVING THEOREMS . ( a ) A ... line AB the st . line AC , without showing that he knows the suppressed premiss ( Def . 15 ) ...
Side 121
... given . 4. The position of a point can be found only - first , by a straight line cutting another straight line ; second , by a straight line cutting the circumference of a circle ; or , third , by the intersection of the arcs of two ...
... given . 4. The position of a point can be found only - first , by a straight line cutting another straight line ; second , by a straight line cutting the circumference of a circle ; or , third , by the intersection of the arcs of two ...
Side 125
... have ? 3. Divide a given straight line into two parts , such that the rectangle contained by the whole and one of the parts shall be equal to the square on the other part . Divide a given straight line into two parts , such 125.
... have ? 3. Divide a given straight line into two parts , such that the rectangle contained by the whole and one of the parts shall be equal to the square on the other part . Divide a given straight line into two parts , such 125.
Side 126
Edward Harri Mathews. Divide a given straight line into two parts , such that the squares on the whole line and on one of the parts shall be together double of the square on the other part . 4. The opposite angles of a quadrilateral ...
Edward Harri Mathews. Divide a given straight line into two parts , such that the squares on the whole line and on one of the parts shall be together double of the square on the other part . 4. The opposite angles of a quadrilateral ...
Side 127
Edward Harri Mathews. 3. If two straight lines cut one another within a ... given square . Determine the necessary limits to the magnitude of this ... line which joins the middle points of the diagonals of the quadrilateral , and that the area ...
Edward Harri Mathews. 3. If two straight lines cut one another within a ... given square . Determine the necessary limits to the magnitude of this ... line which joins the middle points of the diagonals of the quadrilateral , and that the area ...
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.