Elements of Geometry |
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Page 17
... vertices . At each vertex four an- gles are formed . The angles within the enclosure are called interior . A FIG . 15 . At each vertex there is an angle vertical to the interior one , and equal to it . There is also at each vertex a ...
... vertices . At each vertex four an- gles are formed . The angles within the enclosure are called interior . A FIG . 15 . At each vertex there is an angle vertical to the interior one , and equal to it . There is also at each vertex a ...
Page 22
... vertices , the angles will be supplementary . FIG . 20 . Let A and B represent the two vertices . The student will supply the demonstrations called for by these theorems . The figure furnishes suggestions . Exercises . -1 . Show that if ...
... vertices , the angles will be supplementary . FIG . 20 . Let A and B represent the two vertices . The student will supply the demonstrations called for by these theorems . The figure furnishes suggestions . Exercises . -1 . Show that if ...
Page 28
... . 26 . On the line MN lay off a segment ( a ) with ruler , tape , or compasses . C and B will mark two of the vertices of the required triangle . With C as a centre and 28 ELEMENTS OF GEOMETRY . Construction of triangles.
... . 26 . On the line MN lay off a segment ( a ) with ruler , tape , or compasses . C and B will mark two of the vertices of the required triangle . With C as a centre and 28 ELEMENTS OF GEOMETRY . Construction of triangles.
Page 29
... vertices of a triangle by the capital letters , and the sides opposite to them by the same letters in small type . The triangle , the vertices of which are A , B , and C ( AABC ) , will be the required triangle . Q. E. F. The ...
... vertices of a triangle by the capital letters , and the sides opposite to them by the same letters in small type . The triangle , the vertices of which are A , B , and C ( AABC ) , will be the required triangle . Q. E. F. The ...
Page 36
... vertices to the opposite sides of an equi- lateral triangle , they will be equal to each other . 3. Establish the converse of the theorem . FIG . 37 . 4. Show that an equilateral triangle is equiangular . 5. Establish the converse . 31 ...
... vertices to the opposite sides of an equi- lateral triangle , they will be equal to each other . 3. Establish the converse of the theorem . FIG . 37 . 4. Show that an equilateral triangle is equiangular . 5. Establish the converse . 31 ...
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Common terms and phrases
ABē 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.