Progressive Lessons in Applied Science, Part 11875 - Geometry |
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A B C ABCD ABFD alike altitude angle ABC angle ACB bisecting breadth called centre chord circular segment circumference circumscribed circle Compute the area Construct a trigon containing crossing diagonal difference distance divided divisions drawn edge equal equilateral trigon equivalent exactly EXERCISE face for face fractions geometry half a turn halve Hence heptagon hypotenuse inches long inscribed circle join length LESSON let fall line A B magnitudes middle point multiply number of degrees opposite paper parallel lines parallelogram pentagon perpendicular polygon PORISM protractor radii radius regular figure reversed face rhomboid rhombus right angle scale semiperimeter sides A B square inches square units straight line surface tetragon theorem three angles three sides triangle turned half round vertex wherefore whole turn
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Page 129 - Handbook of Plan and Map Drawing; including instructions for the preparation of Engineering, Architectural, and Mechanical Drawings. With numerous illustrations in the text, and 33 plates (15 printed in colours'). By GG ANDRE, FGS, Assoc.
Page 101 - In any triangle, the square of the side opposite an acute angle is less than the sum of the squares of the...
Page 93 - When the hypotenuse and one side are given we compute the length of the other side by subtracting the square of the known side from the square of the hypotenuse.
Page 123 - To take the simplest instance : it was, and is, and always will be, true that the ratio of the circumference to the diameter of a circle is a number 3-14159...
Page 106 - An angle at the circumference of a circle is measured by half the arc that subtends it. Let BAC be an angle at the circumference : it has for its measure half the arc "BC, which subtends it.
Page 97 - AC*. by the perpendicular let fall from the vertex of the right angle. For, on account of the common altitude BF, the square BCGF is to the rectangle BDEF as the base BC is to the base BD (Prop. III.) ; now, the square ABHL has been proved to be equivalent to the rectangle BDEF; therefore we have, BC2 : A~B2 : : BC : B D.
Page 51 - ... lines are drawn to meet a given straight line PQ in X, Y, Z : shew that OZ is equal to half the sum, or half the difference of AX and BY, according as A and B lie on the same side or on opposite sides of PQ. 19. To divide a given finite straight line into any number of equal parts. . [For example : required to divide the straight line AB into five equal- parts. From A draw AC, a straight line of unlimited length, making any angle with AB. In AC take any point P ; and by marking off successive...