Mathews' Euclid examination papers ... on Euc. i.-iv |
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Αποτελέσματα 1 - 5 από τα 37.
Σελίδα 128
... square of the other part . Show that the point of section lies between the extremities of the line . 3. Upon a given straight line describe a segment of a circle which shall contain an angle equal to a given rec- tilineal angle . An ...
... square of the other part . Show that the point of section lies between the extremities of the line . 3. Upon a given straight line describe a segment of a circle which shall contain an angle equal to a given rec- tilineal angle . An ...
Σελίδα 130
Edward Harri Mathews. lateral is greater than the sum of the squares on the straight lines joining F to the same ... Describe an isosceles triangle , having each of the angles at the base double of the third angle . Hence show how to describe ...
Edward Harri Mathews. lateral is greater than the sum of the squares on the straight lines joining F to the same ... Describe an isosceles triangle , having each of the angles at the base double of the third angle . Hence show how to describe ...
Σελίδα 131
... square on the whole line thus produced , and the square on the part of it produced , are together double of the ... described ; prove that the tangents to these circles at P and Q form a quadrilateral equal in all re- spects to the ...
... square on the whole line thus produced , and the square on the part of it produced , are together double of the ... described ; prove that the tangents to these circles at P and Q form a quadrilateral equal in all re- spects to the ...
Σελίδα 132
... squares described on the sides which contain the right angle . " If CE , BD be the squares described upon the side AC and the hypotenuse AB , and if EB , CD intersect in F , prove that AF bisects the angle EFD . 2. Describe a square ...
... squares described on the sides which contain the right angle . " If CE , BD be the squares described upon the side AC and the hypotenuse AB , and if EB , CD intersect in F , prove that AF bisects the angle EFD . 2. Describe a square ...
Σελίδα 133
... square , described on the hypotenuse of a right - angled triangle , is equidistant from the two sides containing the ... Describe an isosceles triangle , having each of the angles at the base double of the third angle . What portion of ...
... square , described on the hypotenuse of a right - angled triangle , is equidistant from the two sides containing the ... Describe an isosceles triangle , having each of the angles at the base double of the third angle . What portion of ...
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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...
Σελίδα 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.
Σελίδα 156 - A tangent to a circle is perpendicular to the radius drawn to the point of contact.
Σελίδα 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.
Σελίδα 153 - Any two sides of a triangle are together greater than the third side.
Σελίδα 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.
Σελίδα 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.
Σελίδα 130 - To describe an isosceles triangle, having each of the angles at the base double of the third angle.
Σελίδα 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.