A complete set of male pupil teachers' examination questions in Euclid [book 1,2] to September 1879Joseph Hughes, 1879 - 36 sider |
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Resultater 1-5 af 11
Side 4
... triangle , rhomboid . 6. Define a plane superficies , a circle , an acute - angled triangle , parallel straight lines . What straight lines are there which though produced to any length never meet , yet are not parallel ? 7. Define ...
... triangle , rhomboid . 6. Define a plane superficies , a circle , an acute - angled triangle , parallel straight lines . What straight lines are there which though produced to any length never meet , yet are not parallel ? 7. Define ...
Side 5
... triangle on a given finite straight line . Same proposition . Is the demonstration direct or indirect ? 2. Define a ... produced the angles on the other side of the base shall be equal . Show that every equilateral triangle is ...
... triangle on a given finite straight line . Same proposition . Is the demonstration direct or indirect ? 2. Define a ... produced the angles on the other side of the base shall be equal . Show that every equilateral triangle is ...
Side 7
... triangle the perpendicular from the vertex on the base bisect the base , the ... made by any number of straight lines meeting in one point are together equal to four ... produced , the exterior angle is greater than either of the interior ...
... triangle the perpendicular from the vertex on the base bisect the base , the ... made by any number of straight lines meeting in one point are together equal to four ... produced , the exterior angle is greater than either of the interior ...
Side 8
... triangle to the base , is less than the greater of the two sides . Same proposition . Let ABC be the triangle in the above proposition . Bisect the angle ABC , produce the side AB to D , and bisect the angle CBD . Show that the two ...
... triangle to the base , is less than the greater of the two sides . Same proposition . Let ABC be the triangle in the above proposition . Bisect the angle ABC , produce the side AB to D , and bisect the angle CBD . Show that the two ...
Side 9
... triangles have two sides of the one equal to two sides of the other , each to each ... triangle be bisected , no other line terminated by the same two sides can be ... produced ) three triangles which are isosceles . 28. Prove that if a ...
... triangles have two sides of the one equal to two sides of the other , each to each ... triangle be bisected , no other line terminated by the same two sides can be ... produced ) three triangles which are isosceles . 28. Prove that if a ...
Almindelige termer og sætninger
acute angle ALGEBRA angle contained angle equal angular points Arithmetic axiom base bisect the angle College of Preceptors Complete Key Define describe a square diagonals draw a straight equilateral triangle EXAMINATION QUESTIONS Exercises exterior angle Extra cloth Geography given line given rectilineal angle given straight line graduated GRAMMAR AND ANALYSIS H.M. Inspectors Head Master HUGHES'S INSPECTION QUESTIONS hypotenuse intersect JOSEPH HUGHES Key with full LANGLER'S Lessons line be divided line joining little book LONDON London School Board obtuse angle opposite angles opposite sides parallel straight lines parallels are equal PATERNOSTER SQUARE plane rectilineal angle Price 6d principal School proposition Prove Pupil Teachers quadrilateral rectangle contained rhombus right angles right-angled triangle School Board Chronicle School Guardian Schoolmaster Show sides containing sides equal six packets six Standards square on half STORIES FOR STANDARD strongly bound TEST SUMS third side THREE TUNS PASSAGE triangle be produced twice the rectangle whole line
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Side 8 - 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 12 - To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.
Side 17 - If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts.
Side 19 - 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 9 - Whoever wishes to attain an English style, familiar but not coarse, and elegant but not ostentatious, must give his days and nights to the volumes of Addison...
Side 10 - 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 18 - In every triangle, the square on the side subtending an acute angle, is less than the squares on the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular let fall on it from the opposite angle, and the acute angle.
Side 13 - In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle.
Side 12 - TRIANGLES upon the same base, and between the same parallels, are equal to one another.
Side 10 - To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and BC the given straight line ; it is required to draw a straight line through the point A, parallel to the straight hue BC. In BC take any point D, and join AD; and at the point A, in the straight line AD, make (I.