A complete set of male pupil teachers' examination questions in Euclid [book 1,2] to September 1879Joseph Hughes, 1879 - 36 sider |
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Resultat 1-5 av 7
Side 5
... taken in your construction . 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 ...
... taken in your construction . 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 ...
Side 12
... taken in the line joining an angular point A of a triangle to the middle point of the opposite side BC : prove that the triangles APB and APC are equal . 38. Triangles upon equal bases and between the same parallels are equal to one ...
... taken in the line joining an angular point A of a triangle to the middle point of the opposite side BC : prove that the triangles APB and APC are equal . 38. Triangles upon equal bases and between the same parallels are equal to one ...
Side 14
... taken inside a quadrilateral ABCD , prove that the sum of the distances of P from the angular points is the least possible when P is situated at the intersec- tion of the diagonals . 8. The sum of the diagonals of a quadrilateral is ...
... taken inside a quadrilateral ABCD , prove that the sum of the distances of P from the angular points is the least possible when P is situated at the intersec- tion of the diagonals . 8. The sum of the diagonals of a quadrilateral is ...
Side 15
... taken inside a triangle PQR : prove that the perimeter of the triangle ABC is less than that of the triangle PQR . 17. ACD , ADB are two right - angled triangles having a common hypotenuse AB , and on CD produced both ways are drawn ...
... taken inside a triangle PQR : prove that the perimeter of the triangle ABC is less than that of the triangle PQR . 17. ACD , ADB are two right - angled triangles having a common hypotenuse AB , and on CD produced both ways are drawn ...
Side 2
... taken from the Christmas Examination Papers set by the Educational Department during the past twenty years . - Price 4s . 6d . The Schoolmaster , says— “ We can strongly recommend it to the attention of our readers . " The School Board ...
... taken from the Christmas Examination Papers set by the Educational Department during the past twenty years . - Price 4s . 6d . The Schoolmaster , says— “ We can strongly recommend it to the attention of our readers . " The School Board ...
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.