## A complete set of male pupil teachers' examination questions in Euclid [book 1,2] to September 1879Joseph Hughes, 1879 - 36 sider |

### Inni boken

Resultat 1-5 av 17

Side 3

...

...

**Propositions**XLII . - XLVIII . ( inclusive ) ; Deductions , 13 NOTE . The deductions given at the end are deductions which , in the Examination Papers , were given independently , not being appended to any**proposition**. Along with the ... Side 4

...

...

**proposition**said to be the converse of another ? Give examples from the First Book . 15. Distinguish between problems and theorems . Into what parts may every**proposition**be divided ? What is an indirect demonstration ? Define corollary ... Side 5

...

...

**proposition**. Draw the figure when the equilateral triangle is described on the side of the line opposite to that taken in your construction . Same**proposition**. If you are able , prove this**proposition**by joining the point to the ... Side 6

...

...

**proposition**. What property of equiangular triangles can be derived from this**proposition**? Give the steps necessary to prove this property . Same**proposition**. A line which bisects the vertical angle of a triangle also bisects the base ... Side 7

...

...

**proposition**. If the angles are CBA , ABD , and BE bisects ABC , and BF bisects ABD , then FBE is a right angle . Same**proposition**. Show that the vertex of an isosceles triangle , and the intersections of the bisections of the interior ...### 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 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

### 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.