Parliamentary Papers, Volum 22

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Side 493 - The angle in a semicircle is a right angle; the angle in a segment greater than a semicircle is less than a right angle; and the angle in a segment less than a semicircle is greater than a right angle.
Side 519 - Therefore, in obtuse-angled triangles, &c. QED PROP. XIII. THEOREM. In every triangle, the square of the side subtending either of the acute angles is less than the squares of 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 upon it from the opposite angle, and the acute angle.
Side 491 - In some fair body thus th' informing soul With spirits feeds, with vigour fills the whole, Each motion guides, and every nerve sustains; Itself unseen, but in th' effects remains. Some, to whom Heaven in wit has been profuse, Want as much more to turn it to its use; For wit and judgment often are at strife, Though meant each other's aid, like man and wife.
Side 492 - 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 509 - This I take to be the most rational and most profitable way of learning languages, and whereby we may best hope to give account to God of our youth spent herein.
Side 546 - 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 416 - If two triangles have two sides of the one equal to two sides of the...
Side 416 - The angle at the centre of a circle is double of the angle at the circumference upon the same base, that is, upon the same part of the circumference.
Side 416 - Triangles upon the same base, and between the same parallels, are equal to one another.
Side 455 - I admire them all. Seriously however, it strikes me as a very observable instance of providential kindness to man, that such an exact accord has been contrived between his ear, and the sounds with which, at least in a rural situation, it is almost every moment visited.

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