Mathews' Euclid examination papers ... on Euc. i.-iv |
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Página 118
... geometry , a careful examination of the lines , angles , triangles , etc. , used as the case may be- will show the relation it bears to some known proposition in Euclid . ( d ) In the case of indeterminate problems , the construc- tion ...
... geometry , a careful examination of the lines , angles , triangles , etc. , used as the case may be- will show the relation it bears to some known proposition in Euclid . ( d ) In the case of indeterminate problems , the construc- tion ...
Página 120
... Geometry must be gained , before the student can apply them intelligently and successfully . Unless these be mastered thoroughly before attempting the solution of deductions , -error , confusion , and failure will necessarily 4.
... Geometry must be gained , before the student can apply them intelligently and successfully . Unless these be mastered thoroughly before attempting the solution of deductions , -error , confusion , and failure will necessarily 4.
Página 139
... circle drawn through O parallel to AB will be bisected by AC . Describe a square whose sides shall pass respectively through four given points . APPENDIX B. GEOMETRY PAPERS , SET AT THE Matriculation Examinations 139.
... circle drawn through O parallel to AB will be bisected by AC . Describe a square whose sides shall pass respectively through four given points . APPENDIX B. GEOMETRY PAPERS , SET AT THE Matriculation Examinations 139.
Página 140
... geometry . Would it be allowable in ordinary geometry to make the two ends of a given straight line simultaneously describe circles about two different centres ? 2. " If a straight line falling on two other straight lines make the ...
... geometry . Would it be allowable in ordinary geometry to make the two ends of a given straight line simultaneously describe circles about two different centres ? 2. " If a straight line falling on two other straight lines make the ...
Página 142
... GEOMETRY . 1. Bisect the angle between two unlimited straight lines which intersect . Through a given point draw a straight line equally inclined to two given straight lines . How many such lines may be drawn ? 2. Prove that the ...
... GEOMETRY . 1. Bisect the angle between two unlimited straight lines which intersect . Through a given point draw a straight line equally inclined to two given straight lines . How many such lines may be drawn ? 2. Prove that the ...
Términos y frases comunes
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
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.