## Elementary and Constructional Geometry |

### From inside the book

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**parallelogram**. 149. Can you discover any truth about the angles of a**parallelogram**without actual measurement ? Record the principle in the " Summary . " D A FIG 33 . E 150. Make a triangle A B C , and through the vertex C ( Fig 33 ) ... Page 30

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**parallelogram**is equal to 34 ) , how can you find the other three angles without con- structing the**parallelogram**? See 149 . 158. One angle of a**parallelogram**is 72 ° . What are the other angles ? 159. Find all the angles of a ... Page 31

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**parallelogram**are required to determine the remaining angles ? Put your answer in the form of a principle , and record it in the " Sum- mary . " 161. In the**parallelograms**whose angles you have stud- ied thus far , can you discover a ... Page 32

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**parallelogram**by the method described in 168 . 170. Mark off six equal distances on a line A B ; then , by the method of 168 , draw parallels through the points of division . 171. Make a triangle ; then through each vertex draw a line ... Page 40

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**parallelogram**is 50 ° ; what are the other angles ? 204. One angle of a**parallelogram**is twice another ; what are the angles ? 205. Extend side A B of the triangle A B C to R. Try to show that CBR is equal to the sum of two angles of ...### Other editions - View all

### Common terms and phrases

A B C D altitude angle formed angles alike angles equal answer antiparallel base angle bisect called centre chord circle circumference Compare compasses construction corresponding diagonal diameter direction distance dividing tool Draw a line edges equal triangles equivalent figure Find a square Geometry give hexagon hypotenuse Imagine inch inscribed angle isosceles triangle legs length line A B M N P measure method middle point mould move number of degrees oblique pair paper parallel parallelogram pentagon perpendicular piece plane polygon position principle protractor prove quadrilateral radius rectangle rectangular parallelopiped represented rhomboid rhombus right angles right triangle ruler scalene triangle scholium semicircumference shape similar triangles solid square form straight angle straight line strip surface symparallel tangent three lines trapezium trapezoid triangle A B C triangular prism triangular pyramid unequal vertex vertices width

### Popular passages

Page 111 - A circle is a plane figure bounded by a curved line, called the circumference, every point of which is equally distant from a point within called the center.

Page 66 - The straight line drawn through the mid-point of one side of a triangle parallel to the base bisects the other side.

Page 55 - Two triangles are congruent if the three sides of one are equal to the three sides of the other. Fig.

Page 49 - Two triangles are congruent if (a) two sides and the included angle of one are equal, respectively, to two sides and the included angle of the other...

Page 91 - The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides.

Page 100 - The square root of a number is one of the two equal factors of the number.

Page 115 - In general, any rectilinear figure, as ABC, is said to be inscribed in a circle, when its angular points are on the circumference; and the circle is then said to be circumscribed about the figure. An angle is said to be inscribed in a segment when its vertex is in the arc of the segment, and its sides pass through the extremities of the subtending chord. Thus, the angle BA C is inscribed in the segment BAC.

Page 86 - ABCD tends to become a parallelogram, having a base equal to ^ the circumference and an altitude equal to the radius.

Page 44 - If two lines form a right angle, they are said to be perpendicular to each other ; if they form any other angle, they are said to be oblique to each other. Abbreviation : The sign _L means