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" ... that triangles on the same base and between the same parallels are equal... "
A Treatise of Practical Surveying: Which is Demonstrated from Its First ... - Strona 207
autor: Robert Gibson - 1806 - Liczba stron: 452
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Inventional Geometry: A Series of Problems, Intended to Familiarize the ...

William George Spencer - 1881 - Liczba stron: 97
...322. Take an inch to represent a foot, and make a scale of feet and inches. 323. From the theorem, that triangles on the same base, and between the same parallels.. are equal in surface, can you change a trapezi um into a triangle ? 324. Can you change a triangle into a rectangle...
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The Cambridge Examiner, Tom 3

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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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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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 - Liczba stron: 266
...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 - Liczba stron: 96
...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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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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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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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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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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