Mathews' Euclid examination papers ... on Euc. i.-iv |
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Resultat 1-5 av 18
Side 127
Edward Harri Mathews. 3. If two straight lines cut one another within a circle , the rectangle contained by the ... half that of the quadrilateral . Fan . 1869 . 1. Equal triangles on equal bases in the same straight . line and on ...
Edward Harri Mathews. 3. If two straight lines cut one another within a circle , the rectangle contained by the ... half that of the quadrilateral . Fan . 1869 . 1. Equal triangles on equal bases in the same straight . line and on ...
Side 129
... line joining D to the pole of BC is parallel to AB . Given the centres of four circles , determine their radii , so ... half the line and of the square on the line between the points of section . The diagonals of a quadrilateral meet in ...
... line joining D to the pole of BC is parallel to AB . Given the centres of four circles , determine their radii , so ... half the line and of the square on the line between the points of section . The diagonals of a quadrilateral meet in ...
Side 131
... line thus produced , and the square on the part of it produced , are together double of the square on half the line bisected and of the square on the line made up of the half and the part produced . Produce a given straight line so that ...
... line thus produced , and the square on the part of it produced , are together double of the square on half the line bisected and of the square on the line made up of the half and the part produced . Produce a given straight line so that ...
Side 136
... lines meeting BC , C1A1 , A1B1 , in a b c respec- tively ; prove that the triangle abc is half the triangle ABC , and that bc passes through A , ca through B , ab through C. 2. The angles in the same segment of a circle are equal to one ...
... lines meeting BC , C1A1 , A1B1 , in a b c respec- tively ; prove that the triangle abc is half the triangle ABC , and that bc passes through A , ca through B , ab through C. 2. The angles in the same segment of a circle are equal to one ...
Side 138
... line DE be drawn at right angles to BC , meeting a side AC in E ; prove ( by the method of the First Book ) that the rectangle contained by EC , AC is half the square on BC , and that the square on EC is equal to the squares on EA , AB ...
... line DE be drawn at right angles to BC , meeting a side AC in E ; prove ( by the method of the First Book ) that the rectangle contained by EC , AC is half the square on BC , and that the square on EC is equal to the squares on EA , AB ...
Vanlige uttrykk og setninger
acute angle angle equal angled triangle angular points base bisect CANDIDATES centre Certificate chord Christmas circle described circumference common Complete Construct cuts the circle diagonals diameter difference double draw a straight equiangular equilateral triangle EUCLID Examinations exercises exterior angle fall figure Find fixed circle four GEOMETRY given circle given point given straight line given triangle greater half the line inscribed interior isosceles triangle length less line be divided line be drawn line drawn line is equal line joining London Mathematical MATRICULATION meet middle points obtuse angle opposite angles opposite sides pair parallel parallelogram pass pentagon perpendicular point of contact problem produced proposition prove Pupil Teachers quadrilateral questions rectangle contained regular respectively rhombus right angles right-angled triangle Scholarship Section segment side subtending sides containing squares described student taken tangents theorem third angle touch twice the rectangle unequal whole line Write
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.