 | University of Sydney - 1853 - 810 páginas
...the sides, ('2) the areas, of equiangular triangles, and prove one of these propositions. A straight line parallel to the base of a triangle divides the other sides in tho ratio I : 3. What is the ratio of the areas of the two parts into which it divides the triangle... | |
 | Franklin Ibach - 1882 - 208 páginas
...FSH, ¿_ a = Z. с = ¿- e, and Z. b = Z. d = Z. /; (62) A BQD = A DRF = A FSH, (84) THEOREM XII. 265. A line parallel to the base of a triangle divides the other two sides proportionally. In the Л ABC, let the line DE be parallel to AB. To prove that С A : CD... | |
 | 1893 - 376 páginas
...to two sides and the Included ancle of the other, the two triangles are equal in all their parts. 8. Prove that a line parallel to the base of a triangle...end of the shorter side. Find the segments of the oilier side and the length of the parallel. 5. Two chords intersect in a circle ; the segmenta of the... | |
 | New York (State). Legislature. Senate - 1897 - 1306 páginas
...an angle in each equal and the including sides proportional are similar. 6 Prove that a line drawn parallel to the base of a triangle divides the other sides proportionally. (Give two cases.) 7 Construct a tangent to a circle from a given point outside the circumference. Give... | |
 | Eldred John Brooksmith - 1904 - 378 páginas
...of a and b show hence that triangles of the same altitude have areas proportional to their bases. 8. Prove that a line parallel to the base of a triangle divides the sides in the same ratio. Show (with proof) how to divide a given straight line into 3 equal parts.... | |
 | Royal Military Academy, Woolwich - 1909 - 456 páginas
...of a and b show hence that triangles of the same altitude have areas proportional to their bases. 8. Prove that a line parallel to the base of a triangle divides the sides in the same ratio. Show (with proof) how to divide a given straight line into 3 equal parts.... | |
 | Walter Burton Ford, Charles Ammerman - 1913 - 184 páginas
...consequents as any antecedent is to its consequent. PART II. PROPORTIONAL LINE-SEGMENTS 145. Theorem I. A line parallel to the base of a triangle divides the other sides proportionally. 146. Corollary 1. If a line is drawn parallel to the base of a triangle, either side is to one of its... | |
 | Walter Burton Ford, Earle Raymond Hedrick - 1913 - 272 páginas
...a/6 = 6/c. 6. If a/6 = 6/c, prove that c = 62/a. PART II. PROPORTIONAL LINE-SEGMENTS 145. Theorem I. A line parallel to the base of a triangle divides the other sides proportionally. FIG. 107 Given the A ABC and the line DE II the base AB. To prove that CD /DA = CE/EB. Proof, (a) When... | |
 | Walter Burton Ford, Charles Ammerman - 1913 - 378 páginas
...2 /6 2 . 5. If 6 2 = ac, prove that a/6 = 6/c. PART II. PROPORTIONAL LINE-SEGMENTS 145. Theorem I. A line parallel to the base of a triangle divides the other sides proportionally. Given the A ABC and the line DE II the base AB. To prove that CD/DA = CE/EB. Proof, (a) When CD and... | |
 | George Wentworth - 1913 - 316 páginas
...sitting at the ends will just balance ? (Use the law given in Ex. 20.) 22. It is proved in geometry that a line parallel to the base of a triangle divides the other two sides proportionally. In this figure, i? AP = II, PC = 6, and QC = 5, find the length of BQ. 23.... | |
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Prove that a line parallel to the base of a triangle divides the other sides proportionally. 
