Mathews' Euclid examination papers ... on Euc. i.-iv |
Dentro del libro
Resultados 1-5 de 8
Página 130
... circle , and from the point of contact a straight line be drawn cutting the ... cuts the circles in PQ : prove that the tangents to the circles at PQ are ... circle without first inscribing one . AB is a fixed chord of a circle PQ , any ...
... circle , and from the point of contact a straight line be drawn cutting the ... cuts the circles in PQ : prove that the tangents to the circles at PQ are ... circle without first inscribing one . AB is a fixed chord of a circle PQ , any ...
Página 133
... circle are equal to one another . The point , in which the external bisector of one angle of a triangle again cuts the circumscribed circle , is equidistant from the other two angular points of the triangle and from the centres of two ...
... circle are equal to one another . The point , in which the external bisector of one angle of a triangle again cuts the circumscribed circle , is equidistant from the other two angular points of the triangle and from the centres of two ...
Página 134
... circle intercept ? Four circles are described , each passing through two adja- cent angular points of a square , and ... cuts a circle and the other touches it , the rectangle contained by the whole line which cuts the circle , and the ...
... circle intercept ? Four circles are described , each passing through two adja- cent angular points of a square , and ... cuts a circle and the other touches it , the rectangle contained by the whole line which cuts the circle , and the ...
Página 137
... cuts the circle , and the other meets it , and if the rectangle contained by the whole line which cuts the circle and the part of it without the circle be equal to the square on the line which meets the circle 137.
... cuts the circle , and the other meets it , and if the rectangle contained by the whole line which cuts the circle and the part of it without the circle be equal to the square on the line which meets the circle 137.
Página 144
... circle two straight lines be drawn , one of which cuts the circle and the other touches it ; the rectangle contained by the whole line which cuts the circle and the part of it without the circle shall be equal to the square of the line ...
... circle two straight lines be drawn , one of which cuts the circle and the other touches it ; the rectangle contained by the whole line which cuts the circle and the part of it without the circle shall be equal to the square of the line ...
Términos y frases comunes
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
Pasajes populares
Página 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.
Página 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...
Página 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.
Página 156 - A tangent to a circle is perpendicular to the radius drawn to the point of contact.
Página 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.
Página 153 - Any two sides of a triangle are together greater than the third side.
Página 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.
Página 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.
Página 130 - To describe an isosceles triangle, having each of the angles at the base double of the third angle.
Página 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.