Elements of Geometry |
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Page 9
... separated into parts ; generally into 360 equal parts , each being called a degree ; sometimes into 400 equal parts , each being called a grade . Degrees are again separated into 60 equal parts , each called a minute ; each minute is ...
... separated into parts ; generally into 360 equal parts , each being called a degree ; sometimes into 400 equal parts , each being called a grade . Degrees are again separated into 60 equal parts , each called a minute ; each minute is ...
Page 10
... separated into two equal parts by the line FB . If the line AB change its direction 90 ° , it will occupy the position in- 180 O A ¡ B 180 ° FIG . 6 . dicated by AD , and the angles BAD and DAF will be equal . If the part of the figure ...
... separated into two equal parts by the line FB . If the line AB change its direction 90 ° , it will occupy the position in- 180 O A ¡ B 180 ° FIG . 6 . dicated by AD , and the angles BAD and DAF will be equal . If the part of the figure ...
Page 44
... separated B # A FIG . 52 . into two triangles , which would have the three sides of one equal to the three sides of the other , and would be equal . Can we show that the triangles are equal ( congruent ) , making use only of previously ...
... separated B # A FIG . 52 . into two triangles , which would have the three sides of one equal to the three sides of the other , and would be equal . Can we show that the triangles are equal ( congruent ) , making use only of previously ...
Page 76
... separated into segments , which will form equal ratios . G B C E H FIG . 96 . Let ADE represent the given triangle , and BC a line drawn parallel to DE . Draw the auxiliary lines through the vertices parallel to the opposite sides . By ...
... separated into segments , which will form equal ratios . G B C E H FIG . 96 . Let ADE represent the given triangle , and BC a line drawn parallel to DE . Draw the auxiliary lines through the vertices parallel to the opposite sides . By ...
Page 81
... segment that is to be separated into equal parts , say four . Draw any line AK in a convenient position . With the dividers , or any convenient measure , lay off a con- G = venient distance AJ . Lay off JT TL = PROPORTIONAL DIVISION . 81.
... segment that is to be separated into equal parts , say four . Draw any line AK in a convenient position . With the dividers , or any convenient measure , lay off a con- G = venient distance AJ . Lay off JT TL = PROPORTIONAL DIVISION . 81.
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Common terms and phrases
AB² altitude Analysis apothem approach auxiliary line axis base bisect called centre chord circumference circumscribed polygon coincide cone convex convex polygon corresponding lines curve cylinder decagon determine diagonals diameter dicular diedral distance ellipse equally distant figure Find the locus fixed point frustum Geometry given circle given line given point given segment greater Hence hypothenuse inscribed polygon interior angles isosceles joining lines be drawn middle point move NOTE number of sides oblique parabola parallel parallelogram parallelopiped pass perimeter perpen perpendicular bisector point of intersection position prism PROBLEM pyramids Q. E. D. Exercises quadrangle radii radius ratio re-entrant polygon rectangle regular polygon represent right angles right circular cone right triangle rotation secant Show side opposite similar sphere spherical triangle square subtended surface THEOREM three sides triangular prism triedral vertex vertices volume
Popular passages
Page 25 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Page 26 - If two triangles have two sides and the included angle of one equal to two sides and the included angle of the other, each to each, the other homologous parts are also equal, and the triangles are equal.