First Lessons in Geometry: With Practical Applications in Mensuration, And Artificer's Work And Mechanics

Cover First Lessons in Geometry: With Practical Applications in Mensuration, And Artificer's Work And Mechanics
First Lessons in Geometry: With Practical Applications in Mensuration, And Artificer's Work And Mechanics
Charles Davies
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To quickly assess the difficulty of the text, read a short excerpt:

The wall of a building, on the brink of a river is 120 feet high, and the breadth of the river 70 yards : what is the length of a line which would reach from the top of the wall to the opposite edge of the river.
Ans. 241,86 feet.
3. The side roofs of a house of which the eaves are of the same height, form a right angle with each other at the top. Now, the length of the rafters on one side is 10 feet, and on the other 14 feet : what is the breadth of the house ?
Ans. 17,204 feet.
4. What would
...be the width of the house, in the last example, if the rafters on each side were 10 feet ?
Ans. 14,142 feet Digitized by VjOOQIC PART III. — SECTION I.
129 Mensuration of Surfaces.
5. What would be the width if the rafters on each side were 14 feet ?
Ans. 19,7989 feet.
PROBLEM V.
12. When the hypothenuse and one side of a right angled triangle are known to find the other side.
RULE.
Square the hypothenuse and also the other given side, and take their difference: extract the square root of this difference, and the i^esult will be the required side.


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