Mathews' Euclid examination papers ... on Euc. i.-iv |
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Side 126
... 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 than the squares on the sides containing the obtuse ...
... 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 than the squares on the sides containing the obtuse ...
Side 128
... obtuse- angled triangle . 4. Inscribe an equilateral and equiangular pentagon in a given circle . Show that the circles , each of which touches two sides at the extremities of a third , meet in a point . Given the inscribed and ...
... obtuse- angled triangle . 4. Inscribe an equilateral and equiangular pentagon in a given circle . Show that the circles , each of which touches two sides at the extremities of a third , meet in a point . Given the inscribed and ...
Side 135
... angles to this straight line , through` its intersection with the tangent at the common point , passes through the ... obtuse angle with it , C the centre of the circle , and if BD meet the circle in E , and BC meet the nearer part of ...
... angles to this straight line , through` its intersection with the tangent at the common point , passes through the ... obtuse angle with it , C the centre of the circle , and if BD meet the circle in E , and BC meet the nearer part of ...
Side 141
... obtuse angle of an obtuse - angled triangle , the sides containing the obtuse angle , and the segment lying in either one of these sides produced and intercepted between the per- pendicular drawn from the opposite acute angle upon the ...
... obtuse angle of an obtuse - angled triangle , the sides containing the obtuse angle , and the segment lying in either one of these sides produced and intercepted between the per- pendicular drawn from the opposite acute angle upon the ...
Side 155
... obtuse angled triangles , if a perpendicular be drawn from either of the acute angles to the opposite side produced , the square on the side subtending the obtuse angle is greater than the squares on the sides containing the obtuse angle ...
... obtuse angled triangles , if a perpendicular be drawn from either of the acute angles to the opposite side produced , the square on the side subtending the obtuse angle is greater than the squares on the sides containing the obtuse angle ...
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.