Books Books Parallelograms upon the same base and between the same parallels, are equal to one another. Geometry Without Axioms; Or the First Book of Euclid's Elements. With ... - Page 111
by Thomas Perronet Thompson - 1833 - 150 pages ## A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - Geometry - 1879 - 44 pages
...angle. 36. Parallelograms upon equal bases and between the same parallels are equal to one another. 37. Triangles upon the same base and between the same parallels are equal to one another. Any point P is taken in the line joining an angular point A of a triangle to the middle point of the... ## Parliamentary Papers, Volume 22

Great Britain. Parliament. House of Commons - Great Britain - 1879 - 632 pages
...possible ? Show how the construction will fail if the condition is not observed. 4. Parallelograms upon the same base and between the same parallels are equal to one another. 5. In any right-angled triangle the square which is described upon the side subtending the right angle... ## Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879 - 146 pages
...opposite angles : these lines trisect the given line. PROPOSITION XXXV. THEOREM. Parallelograms on the same base, and between the same parallels, are equal to one another. Let the / — 7s ABCD, EBCF be on the same base BC, and between the same ||s AF, BC. Then shall /— 7 ABCD... ## Report of Her Majesty's Civil Service Commissioners: Together ..., Volume 23

1879 - 636 pages
...possible ? Show how the construction will fail if the condition is not observed. 4. Parallelograms upon the same base and between the same parallels are equal to one another. 5. In any right-angled triangle the square which is described upon the side subtending the right angle... ## Queen's scholarship examination. Amner's eight years' scholarship questions ...

Joseph Wollman - 1879 - 120 pages
...is parallel to SR (I. 30). Similarly it can be proved that LO is parallel to PS. QED SECTION III. 1. Triangles upon the same base and between the same parallels are equal. Construct a triangle equal to a given triangle and having a base three times as great. Let LMN xbe... ## Scientific and practical geometry for self-instruction

Rolla Rouse - 1879 - 402 pages
...gives four propositions where only one is required. Proposition 35, stating that parallelograms on the same base and between the same parallels are equal to one another ; Proposition 36, that on equal bases and between the same parallels they are equal ; and 37 and 38,... ## First Public Examination in Literis Graecis Et Latinis

University of Oxford - Greek language - 1879 - 412 pages
...and parallelograms of the same altitude are to one another as their bases. 8. Parallelograms on the same base, and between the same parallels, are equal to one another. 9. Divide a given straight line into two parts, so that the rectangle contained by the whole and one... ## The Theory of Political Economy

William Stanley Jevons - Economics - 1879 - 430 pages
...investment of the whole amount. In the 37th proposition of the first book of Euclid it is proved that all triangles upon the same base and between the same parallels are equal in area. Hence we may draw the conclusion that, provided capital be invested and uninvested continuously... ## Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 pages
...equal to two right angles. What ratio does the angle of a regular hexagon bear to a right angle ? 2. Triangles upon the same base and between the same parallels are equal. A line drawn through the middle points of the sides of a triangle is parallel to the base. 3. In any... 