Mathews' Euclid examination papers ... on Euc. i.-iv |
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Resultat 1-5 av 25
Side 126
... meet KL in Q , BP will be parallel to DQ . 2. In obtuse - angled triangles , if a perpendicular be drawn from either of the acute angles to the opposite side pro- duced , the square on the side subtending the obtuse angle is greater ...
... meet KL in Q , BP will be parallel to DQ . 2. In obtuse - angled triangles , if a perpendicular be drawn from either of the acute angles to the opposite side pro- duced , the square on the side subtending the obtuse angle is greater ...
Side 127
... meet in one point 0 ; prove that , if O be the centre of the inscribed circle of one of the triangles , it will be the centre of perpendiculars of the other . A circle A passes through the centre of a circle B , prove that their common ...
... meet in one point 0 ; prove that , if O be the centre of the inscribed circle of one of the triangles , it will be the centre of perpendiculars of the other . A circle A passes through the centre of a circle B , prove that their common ...
Side 128
... meet in a point . Given the inscribed and circumscribed circles of a triangle , the centre of perpendiculars will lie on a fixed circle . If from any point , straight lines be drawn to the angles of a triangle , and if through each of ...
... meet in a point . Given the inscribed and circumscribed circles of a triangle , the centre of perpendiculars will lie on a fixed circle . If from any point , straight lines be drawn to the angles of a triangle , and if through each of ...
Side 129
... meet in a point . Two chords AB , AC of a circle are drawn ; the perpen- dicular from the centre on AB meets AC in D : prove that the straight line joining D to the pole of BC is parallel to AB . Given the centres of four circles ...
... meet in a point . Two chords AB , AC of a circle are drawn ; the perpen- dicular from the centre on AB meets AC in D : prove that the straight line joining D to the pole of BC is parallel to AB . Given the centres of four circles ...
Side 130
... meet on a fixed circle . In a pentagon five straight lines can be drawn by joining each angular point to the next angular point but one ; if four of these straight lines are parallel to the opposite sides of the pentagon and the ...
... meet on a fixed circle . In a pentagon five straight lines can be drawn by joining each angular point to the next angular point but one ; if four of these straight lines are parallel to the opposite sides of the pentagon and the ...
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.