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

### Inni boken

Resultat 1-5 av 9

Side 5

Draw the figure when the equilateral triangle is described on the

other , each to each , and have likewise the angles contained by those

equal to ...

Draw the figure when the equilateral triangle is described on the

**side**of the line**opposite**to that taken in your ... two**sides**of the one equal to two**sides**of theother , each to each , and have likewise the angles contained by those

**sides**equal to ...

Side 6

If two angles of a triangle be equal to each other , the

or are

given to a triangle which has two

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 isgiven to a triangle which has two

**sides**equal ? Same proposition . Side 8

Every straight line , drawn from the vertex of a triangle to the base , is less than

the greater of the two

triangle is subtended by the greater

Every straight line , drawn from the vertex of a triangle to the base , is less than

the greater of the two

**sides**. Same proposition . ... The greater angle of everytriangle is subtended by the greater

**side**, or has the greater**side opposite**to it . Side 9

If two triangles have two

each , but the angle contained by the ... to one

adjacent to the equal angles , or the

then ...

If two triangles have two

**sides**of the one equal to two**sides**of the other , each toeach , but the angle contained by the ... to one

**side**, viz . either the**sides**adjacent to the equal angles , or the

**sides opposite**to the equal angles in each ;then ...

Side 11

Show that the

another , and that the diameter bisects them , that is , divides them into two equal

parts . Same proposition . Prove that any line terminated by two

a ...

Show that the

**opposite sides**and angles of parallelograms are equal to oneanother , and that the diameter bisects them , that is , divides them into two equal

parts . Same proposition . Prove that any line terminated by two

**opposite sides**ofa ...

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### Vanlige uttrykk og setninger

angle contained angle equal Answers Arithmetic arranged axiom base bisect bound Cards circle cloth complete Define definition describe diagonals diameter difference drawn Easy EDITION Educational English Euclid EXAMINATION QUESTIONS examples excellent Exercises Explain exterior angle figure formed four Geography Give given line given point given rectilineal given straight line graduated Grammar and Analysis greater half Head Master HUGHES'S Illustrated inclusive INFANTS Inspectors interior intersect isosceles triangle JOSEPH HUGHES kind less Lessons letters line be divided line joining little book LONDON meet numerous obtuse angle opposite angles opposite sides packet parallel parallel straight lines parallelogram perpendicular plane position Price problem produced proposition Prove Pupil Teachers READING recommend rectangle contained rectilineal angle requirements right angles rules says School Board Schoolmaster Series Shilling Show sides equal six Standards specially square STORIES strongly taken third triangle ABC twice writes young

### 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.