## A solemn appeal to the common sense of England, against the principles of ... George Canning and his associates, by a lay Protestant |

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### Common terms and phrases

acute angle altitude angle contained angle equal assumed bisecting centre chord circumscribed common construction conterminous cosine demonstration Demonstration.—For diagonal diameter difference directum divided draw a right draw the right equal angles equiangular equilateral triangle Euclid's external angle extremity former geometrical given circle given line given right line given triangle homologous homologous sides hypotenuse identical by Prop inferred inscribed intersect isosceles triangle latter legs less line drawn meet middle point Note number of sides obtuse opposite angle opposite sides parallel parallelogram pentagon periphery perpendicular plain polygon principle Prob produced proportional proved quadrilateral figure quantities radii radius ratio compounded rect rectangle contained rectilinear figure respectively equal right angle right-angled triangle side subtending sides containing similar similar triangles sine subtended suppose tangent Theorem fig third triangle ABC unequal vertex vertical angle

### Popular passages

Page 11 - 1. LET it be granted, that a right line may be drawn from any one point, to any other point. 2. That any terminated

Page 17 - when the conduct of the Catholics shall be such as shall make it safe for the Government to admit them to the participation of the privileges granted to those of the established religion, and when the temper of the times shall be favourable to such a measure;—when these events shall take place, it is obvious that such a question may be agitated in

Page 97 - lines be each divided into any number of parts, the rectangle contained by the two lines is equal to the sum of all the rectangles contained by each part of

Page 158 - is supposed to be divided into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds. The

Page 104 - triangle, the square of either side about the right angle is equal to the rectangle contained by the sum and difference of the hypotenuse and the other side.

Page 139 - UPON the same right line (AB) and on the same side of it, there cannot be two similar segments of circles, not coinciding with each other.

Page 63 - equal to two right angles, the angles of all the triangles are, together, equal to twice as many right angles as the figure has sides. But,

Page 192 - the ratio of the first to the last is said to be compounded of the ratios of the first to the second, the second to the third, and so on to the

Page 91 - that in a right-angled triangle, if a perpendicular be drawn from the right angle to the hypotenuse, the square of either side

Page 82 - To a given right line (AB), to apply a parallelogram which shall be equal to a given triangle, and shall have