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" In like manner, when it is said, that " triangles on the same base, and between the same parallels, are equal... "
The Theory and Practice of Surveying: Containing All the Instructions ... - Página 173
por Robert Gibson - 1832 - 348 páginas
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The preliminary army examination made easy, a guide to self-preparation

John Gibson - 1881
...another. 2. Parallelograms on the same base and between the same parallels are equal to one another. 3. Triangles on the same base and between the same parallels are equal. 4. Equal triangles on the same base and on the same side of it are between the same parallels. 5. Prove...
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The Cambridge Examiner, Volumen3

1883
...of superposition that the angles at the base of an isosceles triangle are equal to one another. 4. Triangles on the same base and between the same parallels are equal. 5. Distinguish clearly between a theorem and a problem. 6. If a straight line be divided into any two...
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Class lessons on Euclid

Marianne Nops - 1882
...theorems we prove the corresponding cases of equality of area in triangles. Proposition XXXV II. shows that triangles on the same base and between the same parallels are equal in area. On the same base BC and between the parallels AD, BC let there be two triangles ABC, DBC....
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1882 - 266 páginas
...between the same parallels EF, CH. Hence (Ax. 1) ABDC is equal to EFHG. ' Proposition 35. Tlieorem. — Triangles on the same base and between the same parallels are equal. Let ABC, DBCbe two triangles on the same base BC and between the same parallels BC, AD ; they will...
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Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 96 páginas
...other. Show that the area of the first is the same multiple of the area of the other. PROP. 37. THEOR. Triangles on the same base and between the same parallels are equal to one another. Given ABC, DBC, two triangles on the base BC, and between the parallels BC, AD. To...
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Entrance scholarships examination, 1883-4

London univ, Middlesex hosp. med. sch - 1884
...864. 8. — Show that the length of the edge of a cube multiplied by \/3 gives its diagonal. 9. — Triangles on the same base and between the same parallels are equal. 10. — If a straight line be divided into two parts, the square of the whole line, minus twice the...
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The text of Euclid's geometry, book 1, uniformly and systematically arranged ...

Euclides - 1884
...to the parallelogram EFGH. Axiom 1. Therefore, parallelograms <kc. QED PROPOSITION XXXVII. THEOREM. Triangles on the same base, and between the same parallels, are equal. GIVEN that tlie triangles ABC and DBC are on the same base BC, and between the same parallels AD and...
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The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884
...deduction. 6. Equal |]m8 situated between the same parallels have equal bases. PROPOSITTON 37. THEOREM. Triangles on the same base and between the same parallels are equal in area. BC Let ABC, DBC be triangles on the same base BC, and between the same parallels AD, BC: it...
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Cambridge University Examination Papers

University of Cambridge - 1884
...other angles shall be equal, each to «*acb. namely tboee to which the equal sides are opposite. 9. Triangles on the same base, and between the same parallels, are equal. In the sides В С, CD of a parallelogram AB С D points P, Q are taken such that PQ i» parallel to...
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Senate Documents, Otherwise Publ. as Public Documents and ..., Volumen3

United States. Congress. Senate - 1880
...axiom upon which your proof in based, and mention any other which has been proposed instead of it. <• Triangles on the same base and between the same parallels are equal to each other. ¿92 NAVAL EDUCATION — 5. Describe a square which »hall be equal to a given rectilineal...
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