A complete set of male pupil teachers' examination questions in Euclid [book 1,2] to September 1879Joseph Hughes, 1879 - 36 σελίδες |
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Σελίδα 5
... sides of the one equal to two sides of the other , each to each , and have ... opposite . Same proposition . If a triangle ABC be turned over about its ... sides be produced the angles on the other side of the base shall be equal . Show ...
... sides of the one equal to two sides of the other , each to each , and have ... opposite . Same proposition . If a triangle ABC be turned over about its ... sides be produced the angles on the other side of the base shall be equal . Show ...
Σελίδα 6
W J. Dickinson. 6. If two angles of a triangle be equal to each other , the sides also which subtend , or are opposite to , the equal angles shall be equal to one another . What name is given to a triangle which has two sides equal ...
W J. Dickinson. 6. If two angles of a triangle be equal to each other , the sides also which subtend , or are opposite to , the equal angles shall be equal to one another . What name is given to a triangle which has two sides equal ...
Σελίδα 7
... angles at the base are in the same straight line . 14. If at a point in a straight line two other straight lines , upon the opposite side of it , make the adjacent angles together equal to two right angles ; then these two straight ...
... angles at the base are in the same straight line . 14. If at a point in a straight line two other straight lines , upon the opposite side of it , make the adjacent angles together equal to two right angles ; then these two straight ...
Σελίδα 8
... angles . 18. Give Euclid's definition of a plane rectilineal angle and of a triangle . Prove that the greater side of every triangle is opposite to the greater angle . 19. The greater angle of every triangle is subtended by the greater side ...
... angles . 18. Give Euclid's definition of a plane rectilineal angle and of a triangle . Prove that the greater side of every triangle is opposite to the greater angle . 19. The greater angle of every triangle is subtended by the greater side ...
Σελίδα 9
... sides of the one equal to two sides of the other , each to each , but the angle contained by the two sides of one of ... opposite to the equal angles in each ; then shall the other sides be equal , each to each , and also the third angle ...
... sides of the one equal to two sides of the other , each to each , but the angle contained by the two sides of one of ... opposite to the equal angles in each ; then shall the other sides be equal , each to each , and also the third angle ...
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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...
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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...
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 12 - TRIANGLES upon the same base, and between the same parallels, are equal to one another.
Σελίδα 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.