Marks' First Lessons in Geometry: In Two Parts, Objectively Presented and Designed for the Use of Primary Classes in Grammar Schools, Academies, Etc
Ivison, Phinney, Blakeman, & Company, 1869 - 157 σελίδες
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acute angle adjacent angles adjacent angles Blue adjacent angles Green angles are equal angles formed angles Green angles Red Arithmetic ASA GRAY Axiom b c d base called centre chord circle circumference contain DEMONSTRATION designed Diagram diameter difference direction draw equal sides exterior and interior fall feet figure five four Geometry give given to Fig greater inches long interior alternate angles interior angles intersect isosceles triangle kind less LESSON line e f means of Fig measured by half Name Note oblique obtuse angle opposite exterior pairs parallel parallelogram perpendicular plane practical Produce PROPOSITION pupil quadrilateral radius Read rectangle remains REVIEW rhomboid right angles Schools SERIES side side A B space square straight line tangent teachers TEST THEOREM thing triangle a b c vertical angles whole wide wish to prove
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.