Mathews' Euclid examination papers ... on Euc. i.-iv |
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Side 126
... equilateral triangle . Fan . 1868 . 1. If a parallelogram and a triangle be on the same base and between the same parallels , the parallelogram shall be double of the triangle . OKBM and OLDN are parallelograms about the diameter of a ...
... equilateral triangle . Fan . 1868 . 1. If a parallelogram and a triangle be on the same base and between the same parallels , the parallelogram shall be double of the triangle . OKBM and OLDN are parallelograms about the diameter of a ...
Side 128
Edward Harri Mathews. triangles ABE and BCE be equal to the sum of the triangles ABF ... triangle is inscribed in a circle , and the paper is folded along each of ... equilateral and equiangular pentagon in a given circle . Show that the ...
Edward Harri Mathews. triangles ABE and BCE be equal to the sum of the triangles ABF ... triangle is inscribed in a circle , and the paper is folded along each of ... equilateral and equiangular pentagon in a given circle . Show that the ...
Side 130
... isosceles triangle , having each of the angles at the base double of the third angle . Hence show how to describe an equilateral and equiangular pentagon about a circle without first inscribing one . AB is a fixed chord of a circle PQ ...
... isosceles triangle , having each of the angles at the base double of the third angle . Hence show how to describe an equilateral and equiangular pentagon about a circle without first inscribing one . AB is a fixed chord of a circle PQ ...
Side 136
... 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 another . If the diagonals AC ... equilateral triangles , a BC , bCA , and 136.
... 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 another . If the diagonals AC ... equilateral triangles , a BC , bCA , and 136.
Side 137
... equilateral triangles . Give the circumscribed and inscribed circles of a triangle ; prove that the centres of the escribed circles lie on a fixed circle . Fan . 1876 . 1. The opposite sides and angles of a parallelogram are equal to ...
... equilateral triangles . Give the circumscribed and inscribed circles of a triangle ; prove that the centres of the escribed circles lie on a fixed circle . Fan . 1876 . 1. The opposite sides and angles of a parallelogram are equal to ...
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.