« AnteriorContinua »
6. What equations result from the division of a straight line into two parts?
7. The exterior angles of every rectilinear figure = 4 right angles.
8. What equations result from two angles of a triangle being equal?
9. What equations result from two right lines intersecting one another?
10. If the side of a triangle be produced, the exterior angle is greater than either of the interior opposite ones.
11. Let A be the gate of a field, and B C a fence on the other side of the field, required the shortest distance from the gate to the fence. Draw the diagram and give the proof.
12. To find the centre of a circle.
13. In a right-angled triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides.
14. If a right line be divided into two equal parts, and also into two unequal parts, what equations will result?
15. The base of a right-angled triangle is 300 feet, and the sum of the other two sides 1000 feet; what are their lengths?
16. How many 3-inch cubes may be cut out of a 12inch cube?
17. What will be the expense of paving a semicircular plot, of which the diameter is 14.8 feet, at 2s. 4d. per square foot?
18. A circular pond occupying half an acre; what was the length of the cord which struck the circle?
19. What will be the expense of gilding a globe, of which the diameter is 6 feet, at 34d. per inch?
20. Find the area of a parabola whose base is 54 and height 36 inches.
What is geography? Describe the figure of the earth. Is the earth at rest or in motion? What is the distance of the earth from the sun? Define the terms Horizon, Zenith, and Nadir. What are the tropics? How far are they from the equator? How are the zones divided? Where does the torrid zone lie? How has the world been divided by geographers? How is Spain bounded? Where is Cadiz, and how does it rank with the other cities in Spain? Where is Gibraltar, and to whom does it belong? For what is it memorable? When did it come into the possession of the English? How long was it besieged by the combined fleets of France and Spain? Where is Carthagena? In what province is Sara Gossa, and for what is it remarkable? In what part of the kingdom is Seville, and on what river? Which is the second city in France? At the junction of what two rivers is it situated? Where does the Loire rise, and in what direction does it flow? What are the principal sea ports of France on the Mediterranean, and in what province are they situated? What provinces lie on the Mediterranean? Where does the Rhone rise, and into what sea does it flow? Where is Brest, and for what noted? Where is Montpellier and for what is it celebrated? What is the religion of France? What the government? Describe the soil and climate. What are the products of the country? Where is Brussels situated? Where is the field of Waterloo? For what is it memorable? Who were the commanders of the different armies? When was this great battle fought? How long did they continue fighting? Who was victorious? Where is Antwerp? What two celebrated painters were natives of this place? Was it ever remarkable for its commercial importance? Describe the course of the Rhine.
With what does a verb agree? How is the nominative to a verb known? When is a noun singular joined to a plural verb? When is the verb placed before the nominative? Why do two or more substantives singular, denoting different things, require a plural verb? When may two nouns take a plural verb? "Neither you nor I is in fault." Which word is the nominative to the verb? When the nominatives are of different persons, which person is preferred? Is a plural verb employed when, of two or more substantives, one exclusively is the subject of discourse? When do collective nouns take a singular verb? How do we ascertain the substantive with which the adjective is connected? Why is 'each' an adjective singular? To what is 'every' applied? Is 'all' always an adjective plural? How may "His strength was exceeding great" be parsed? To nouns, of what number is the article 'a' or 'an'joined? By what rule do we clearly distinguish between subject and predicate? Why do pronouns not admit the definite article? What adjective precedes the definite article? In what do substantives signifying the same thing agree? When does one substantive govern another signifying a different thing? Do substantives govern nouns only? Is the genitive case always resolvable into the adjective with the proposition 'of"? In what do pronouns agree with their antecedents? When there are two antecedents of different persons, with which of them must the relative agree?
Printed by Richard Taylor, Red Lion Court, Fleet Street.