Mathews' Euclid examination papers ... on Euc. i.-iv |
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Resultat 1-5 av 8
Side 117
... Theorems . I. A PROBLEM is something proposed to be done , e.g. , the construction of a figure . Every problem consists of two parts : - 1. Data , or things given . 2. Quaesita , or things required . It should also be noticed here that ...
... Theorems . I. A PROBLEM is something proposed to be done , e.g. , the construction of a figure . Every problem consists of two parts : - 1. Data , or things given . 2. Quaesita , or things required . It should also be noticed here that ...
Side 118
... THEOREM makes an assertion , the truth of which it proposes to prove . Every theorem consists of a subject , or hypothesis , and a predicate , or conclusion , requiring demonstration . Theorems are divided into two classes , direct and ...
... THEOREM makes an assertion , the truth of which it proposes to prove . Every theorem consists of a subject , or hypothesis , and a predicate , or conclusion , requiring demonstration . Theorems are divided into two classes , direct and ...
Side 119
... THEOREMS . ( a ) A theorem is generally proved by assuming the truth of its predicate , and deducing therefrom , by the aid of accepted geometrical truths , the successive steps necessary to obtain the hypothesis first assumed . ( b ) ...
... THEOREMS . ( a ) A theorem is generally proved by assuming the truth of its predicate , and deducing therefrom , by the aid of accepted geometrical truths , the successive steps necessary to obtain the hypothesis first assumed . ( b ) ...
Side 120
... theorem . 2. The exposition or particular enunciation , which exhibits the subject of the proposition in particular terms as a fact , and refers it to some diagram described . 3. The determination contains the predicate in particular ...
... theorem . 2. The exposition or particular enunciation , which exhibits the subject of the proposition in particular terms as a fact , and refers it to some diagram described . 3. The determination contains the predicate in particular ...
Side 141
... that the rectangle contained by the segments of the one is equal to the rectangle contained by the segments of the other . Extend this theorem , but without proof , to the case of two lines meeting in a point external to the circle 141.
... that the rectangle contained by the segments of the one is equal to the rectangle contained by the segments of the other . Extend this theorem , but without proof , to the case of two lines meeting in a point external to the circle 141.
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.