## A complete set of male pupil teachers' examination questions in Euclid [book 1,2] to September 1879 |

### Inni boken

Resultat 1-5 av 11

Side 5

Define acute angle , figure , semicircle , parallelogram , and write out the axiom on which Euclid

Define acute angle , figure , semicircle , parallelogram , and write out the axiom on which Euclid

**bases**his reasonings on parallel lines , and also the axiom which is the definition of geometrical equality . 17. Side 6

A line which bisects the vertical angle of a triangle also bisects the

A line which bisects the vertical angle of a triangle also bisects the

**base**. Prove that the triangle is isosceles . Same proposition . What proposition is the converse of this . Show that every equiangular triangle is equilateral . 7. Side 7

If in a triangle the perpendicular from the vertex on the

If in a triangle the perpendicular from the vertex on the

**base**bisect the**base**, the triangle is isosceles . 13. The angles which one straight line makes with another upon one side of it are either two right angles , or are together ... Side 8

Every straight line , drawn from the vertex of a triangle to the

Every straight line , drawn from the vertex of a 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 ... Side 9

If two triangles have two 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 them greater than the angle contained by the two sides equal to those of the other ; the

If two triangles have two 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 them greater than the angle contained by the two sides equal to those of the other ; the

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### Vanlige uttrykk og setninger

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 diameter draw a straight equal to twice equilateral triangle EXAMINATION QUESTIONS Exercises exterior angle Extra cloth full working Price 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 School Board middle point obtuse angle opposite angles opposite sides parallel straight lines PATERNOSTER SQUARE plane rectilineal angle Price 6d principal School proposition Prove Pupil Teachers quadrilateral rectangle contained rhombus right angles 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 triangle be produced twice the rectangle whole line

### Populære avsnitt

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.