Elements of Geometry |
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Results 1-5 of 27
Page 10
... half of the angle generated by a complete rotation ; and may be expressed as 180 degrees ( 180 ° ) , or 200 grades ( 2005 ) . The dotted line in the accompanying figure is used to indicate the rotation by marking the path of the point B ...
... half of the angle generated by a complete rotation ; and may be expressed as 180 degrees ( 180 ° ) , or 200 grades ( 2005 ) . The dotted line in the accompanying figure is used to indicate the rotation by marking the path of the point B ...
Page 26
... half rotation will generate a semi - circumfer- ence ; and a quarter rotation will generate a quadrant . The point A is called the centre ; and the distance of B from A is called the radius . A point nearer to A than B is , will ...
... half rotation will generate a semi - circumfer- ence ; and a quarter rotation will generate a quadrant . The point A is called the centre ; and the distance of B from A is called the radius . A point nearer to A than B is , will ...
Page 50
... half the hypothe- nuse . 5. Show which of the eight parts of a quadrangle , when given , will be sufficient to determine a construction . 6. Show that the bisectors of the interior angles of a triangle are concurrent ( pass through one ...
... half the hypothe- nuse . 5. Show which of the eight parts of a quadrangle , when given , will be sufficient to determine a construction . 6. Show that the bisectors of the interior angles of a triangle are concurrent ( pass through one ...
Page 57
... half of the intercepted arc . ( a ) If one of the chords be a diameter as AB , draw the auxiliary line CD . But The CA = CD . .. Z CAD = ≤ CDA . LBCD = ZCAD + ZCDA = 2 / CAD . BCD is measured by the arc BD . Hence the BAD is measured ...
... half of the intercepted arc . ( a ) If one of the chords be a diameter as AB , draw the auxiliary line CD . But The CA = CD . .. Z CAD = ≤ CDA . LBCD = ZCAD + ZCDA = 2 / CAD . BCD is measured by the arc BD . Hence the BAD is measured ...
Page 59
... half - sum of the arcs , subtended by the angle considered , and its vertical angle . Let AC and BD represent any two secants fulfilling the required conditions , and the angle considered . - Analysis . If a line be drawn parallel to BD ...
... half - sum of the arcs , subtended by the angle considered , and its vertical angle . Let AC and BD represent any two secants fulfilling the required conditions , and the angle considered . - Analysis . If a line be drawn parallel to BD ...
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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.