Practical Plane and Solid Geometry for Elementary Students |
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altitude axis base angle centre chord circuital sides components construction corners curve diagonal diagram dihedral angle displacements distance Draw a circle draw a line Draw any triangle Draw the plan drawn equal equilateral triangle Examples Examples.-1 feet figured plan Find the length forces ground line height horizontal plane horizontal trace hypotenuse illustration inch inclination intersect isosceles triangle Let the student locus magnitude mark Measure the angle method miles miles per hour paper parallelogram pictorial projection pictorial view plan and elevation planes of projection planes of reference plotting polygon position prism PROBLEM.-A problems protractor quadrilateral rabattement radians radius rectangle represented resultant right-angled triangle scale of slope set-square shown sides SOLID GEOMETRY square straight edge straight line tangent tracing paper tracing-paper triangle ABC true shape vector velocity verify vertex vertical angle vertical plane vertical trace yards
Popular passages
Page 112 - Find the locus of a point, the distances of which from two given straight lines have a fixed ratio. 143. Find the locus of a point which moves so that the sum of its distances from two vertices of an equilateral triangle shall equal its distance from the third.
Page 81 - Pythagoras' theorem states that the square of the length of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the lengths of the other two sides.
Page 46 - Guido, with a burnt stick in his hand, demonstrating on the smooth paving-stones of the path, that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides.
Page 102 - In any proportion, the product of the means is equal to the product of the extremes.
Page 155 - The projection of a point on a plane is the foot of the perpendicular let fall from the point to the plane.
Page 213 - ... their use in drawing perpendiculars. The drawing of parallels and perpendiculars by the aid of compasses; the bisection of angles and straight lines ; construction of triangles from given dimensions ; the fundamental properties of triangles verified and illustrated by drawing ; similar triangles ; the division of lines into equal parts and into parts in given proportion ; test of equality of angles by the superposition of the angles of similar (not equal) triangles by means of tracing paper....
Page 44 - A right-angled triangle (Fig. 24) is any triangle having one right angle. The side opposite the right angle is called the hypotenuse.
Page 60 - They receive particular names from the number of their sides ; thus a pentagon has five sides, a hexagon has six sides, a heptagon seven, an octagon eight, a nonagon nine, a decagon ten, an undecagon eleven, and a dodecagon has twelve sides.
Page 221 - Nautical mile per hour. Weight of i Ib. in London = 445,000 dynes. One pound avoirdupois = 7000 grains = 453'6 grammes.
Page 56 - If two sides of a triangle are equal, the angles opposite these sides are equal; and conversely.28 4.