 | Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...another. 38. Triangles on equal bases and between the same parallels are equal to one another. 39. Equal triangles on the same base and on the same side of it are between the same parallels. 40. Equal triangles on equal bases in the same straight line and on the same side of it are between... | |
 | Queensland. Department of Public Instruction - Education - 1892 - 508 pages
...construction fails if any one of the three given lines is not less that the sum of the other two. 20 5. Equal triangles on the same base and on the same side of it are between the same parallels. 22 G. Describe a parallelogram that shall be equal to a given triangle, and have one of its angles... | |
 | Euclid, John Bascombe Lock - Euclid's Elements - 1892 - 188 pages
...bisected by the base, their areas are equal. 139 Proposition 39. 141. Triangles of equal area which are on the same base and on the same side of it, are between the same parallels. Let ABC, DBC represent triangles upon the same base BC and on the same side of it, and let the area... | |
 | Euclid - Geometry - 1892 - 460 pages
...the A BXY : the A AXY :: the A CXY : the A AXY. v. 1. .'. the A BXY - the A CXY; v. 6. and they are triangles on the same base and on the same side of it. .'. XY is par1 to BC. i. 39. cJ.ED EXERCISES. 1. Shew that every quadrilateral is divided by its diagonals... | |
 | Great Britain. Education Department. Department of Science and Art - 1894 - 894 pages
...that the angle ADB is greater than a right angle. (10.) 10. Show that equal triangles on the same Imse and on the same side of it are between the same parallels. If a quadrilateral is bisected by oJie of its diagonals, show that that diagonal bisects the other... | |
 | George Clinton Shutts - Geometry - 1894 - 412 pages
...of Proposition X. Use figure § 721, and prove the proposition. Ex. 443. If А В С and ABD are two triangles on the same base and on the same side of it, such that А С equals BD, AD equals В С and AD and В С intersect at О, prove (i) that triangles... | |
 | Henry Martyn Taylor - Euclid's Elements - 1895 - 708 pages
...Q and R, the arc QR is of constant length. 4. The internal bisectors of the vertical angles of all triangles, on the same base and on the same side of it, which have equal vertical angles, pass through one fixed point and the external bisectors through another... | |
 | James Welton - Logic - 1896 - 504 pages
...Euclid's proof of Proposition VII of the First Book may be exhibited as a dilemma of this kind : ' If two triangles on the same base, and on the same side of it, have their conterminous sides equal, then two angles are both equal and unequal to each other ; but... | |
 | Queensland. Department of Public Instruction - Education - 1897 - 446 pages
...straight lines shall be in one and the same straight line. 17 ">. Iv|ual triangle* on tlic same l«i».e, and on the same side of it, are between the same parallels. 20 6. If the square described on one side of a triangle bu equal to the stun of the w|uarc-* described... | |
 | Webster Wells - Geometry - 1898 - 250 pages
...meeting AH at F. Prove Z AFE = 3 Z .4.EF. (Z ^iFJ? is an ext. Z of A /,'FD) 100. If ABC and ABD are two triangles on the same base and on the same side of it, such that AC — BD and AD = BC, and AD and BC intersect at O, prove triangle OAB isosceles. 101. If... | |
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DE : but equal triangles on the same base and on the same side of it, are between the same parallels ; (i. 
