Annual Report of the Association of Ontario Land Surveyors, Ausgabe 16

Association of Ontario Land Surveyors., 1901
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Seite 165 - IN a right-angled triangle, if a perpendicular be drawn from the right angle to the base, the triangles on each side of it are similar to the whole triangle, and to one another.
Seite 165 - If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line.
Seite 97 - It may be shown that no such extent of unknown area, in any part of the world, ever failed to yield results of practical as well as of purely scientific value ; and it may safely be urged that as it is mathematically certain that the area exists, it is impossible that its examination can fail to add largely to the sum of human knowledge.
Seite 161 - 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 those sides, and the straight line intercepted between the perpendicular let fall on it from the opposite angle, and the acute angle.
Seite 165 - If from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained by the whole line which cuts the circle, and the part of it without the circle, shall be equal to the square of the line which touches it.
Seite 71 - tis proved beyond a doubt he used a three-foot rule. Here's a health to every ,learned man that goes by common sense, And would not plague the" workman on any vain pretence ; But as for those philanthropists who'd send us back to school, Oh, bless their eyes, if ever they tries to put down the three-foot rule THE DASHING YOUNG FELLOW.
Seite 98 - Polar area affords exclusive opportunities for observing the condition of the earth's surface under certain extreme and singular circumstances, due to the relation of this area to the position of the axis of revolution of the terrestrial spheroid, and which have to be considered, not only with reference to the present time, but to the earth's past history. It may be received as certain that discoveries will be made in all branches of science, the exact nature of which cannot be anticipated.
Seite 161 - In any triangle, the square of a side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of one of those sides and the projection of the other side upon it.
Seite 110 - No matter what his rank or position may be, the lover of books is the richest and the happiest of the children of men.
Seite 93 - Naisnuloh, the distance between the marked points being 23?Í0 miles ; and this might have been obviated by placing a station on the main or western branch of the Naisnuloh River which however would have prolonged the work of the British Commission by another Season. — • From a cairn at the foot of the Mountains on the West side of the Similkameen River to the east or left bank of the Columbia, the Boundary for 95 miles is well and continuously marked by 69 stone cairns and one mound of earth,...

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