Plane And Solid Geometry Inductive Method

Cover Plane And Solid Geometry Inductive Method
Plane And Solid Geometry Inductive Method
Arthur a Dodd
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246.
Proposition I.
Draw 2 parallelograms on equal bases and having equal altitudes. Write the steps to show how they are related.
247.
Cor. Using the same figures, can you compare 2 As having equal bases and equal altitudes?
Exercises.
193. What is the path of the vertex of a A of constant area on a fixed base ?
191. Draw a line from the vertex of a A to the middle of the opposite side. How does it divide the A ? Prove.
168 PLANE GEOMETRY, BOOK IV.
Draw lines from vertex to points which are di
...stant J, J, ^ of the base from either extremity of it. Compare these As.
195. Draw a parallelogram, A B C D. Join B D. Take any point, P, on B D and join with A and C. Compare /\s D P C and D P A.
196. Draw 2 As, A B C and A' B' C, in which B C = B' C and AC = A' C and Z C = the supplement of Z C. Can you prove the As equivalent ?
197. ■ Construct A A B C, then on the same base con- struct a rectangle having twice the area of the A- Prove.
248.
Proposition II.
Fig. 1.
A G = the common linear unit of measurement.


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