Marks' First Lessons in Geometry: Objectively Presented |
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acute angle acute-angled triangle adjacent angles Blue adjacent angles Green adjacent angles Yellow angle b c d angles are equal angles whose vertices Arithmetic AXIOM called circle circumference DEMONSTRATION DEVELOPMENT LESSON DIAGRAM 17 draw equal sides equilateral triangle exterior and interior Fasquelle's Geometry given to Fig greater half the arc heptagon hypothenuse inches long included angle interior alternate angles interior angles Red interior opposite angles intersect isosceles triangle line c d means of Fig measured by half nonagons obtuse angle obtuse-angled triangle opposite exterior parallel parallelogram particular name pentagon perpendicular polygon Produce the side PROPOSITION quadrilateral radii radius Read three rectangle regular polygon rhomb rhomboid right angles right-angled triangle scalene triangle Schools secant separately equal side a c square inches straight lines a b tangent THEOREM thing three angles three names trapezium trapezoid triangle a b c units long vertex wish to prove Woodbury's
Popular passages
Page 124 - America, but know that we are alive, that two and two make four, and that the sum of any two sides of a triangle is greater than the third side.
Page 24 - An ACUTE ANGLE is one which is less than a right angle ; as the angle DEF.
Page 148 - If two triangles have two sides and the included angle of the one, equal to two sides and the included angle of the other, each to each, the two triangles will be equal in all their parts." Axiom 1. "Things which are equal to the same thing, are equal to each other.
Page 152 - We wish to prove that The angle formed by a tangent and a chord meeting at the point of contact is measured by half the intercepted arc. Let the tangent CAB and the chord AD meet at the point of contact A ; then will the angle BAD be measured by half the intercepted arc A D.
Page 74 - PERIPHERY of a circle is its entire bounding line ; or it is a curved line, all points of which are equally distant from a point within called the center.
Page 147 - 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 3 - The elements of Geometry are much easier to learn, and are of more value when learned, than advanced Arithmetic; and, if a boy is to leave school with merely a grammar-school education, he would be better prepared for the active duties of life with a little Arithmetic and some Geometry, than with more Arithmetic and no Geometry.