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

### Inni boken

Resultat 1-5 av 8

Side 5

Same proposition . If you are able , prove this proposition by joining the point to

the extremity of the given line which is farther removed from it , instead of the

nearer one , as in Euclid . 3. Show how from the

to ...

Same proposition . If you are able , prove this proposition by joining the point to

the extremity of the given line which is farther removed from it , instead of the

nearer one , as in Euclid . 3. Show how from the

**greater**of two given straight linesto ...

Side 7

If one side of a triangle be produced , the exterior angle is

the interior opposite angles . · Same proposition . Show that only one

perpendicular can be drawn from a given point to a given straight line . Same

proposition .

If one side of a triangle be produced , the exterior angle is

**greater**than either ofthe interior opposite angles . · Same proposition . Show that only one

perpendicular can be drawn from a given point to a given straight line . Same

proposition .

Side 8

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

the

above proposition . Bisect the angle ABC , produce the side AB to D , and bisect

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 theabove proposition . Bisect the angle ABC , produce the side AB to D , and bisect

the ...

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

angle contained by the two sides equal to those of the other ; the base of that ...

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 theangle contained by the two sides equal to those of the other ; the base of that ...

Side 11

included by the first pair is equal to the angle included by the second . Same

proposition . If the base of a triangle be produced both ways , the exterior angles

are

triangle ...

included by the first pair is equal to the angle included by the second . Same

proposition . If the base of a triangle be produced both ways , the exterior angles

are

**greater**than two right angles by the vertical angle . If the three sides of atriangle ...

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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.