 | Thomas Lund - 1854 - 520 sider
...ratio (170), and join DH. Then DHG is the triangle required. For BDC, BDF, being triangles upon the same base and between the same parallels, are equal to one another (41). Also A.ADE — &ADG; .'.adding to these equals the AABD, it is evident that ADGF = the polygon... | |
 | Euclides - 1855 - 270 sider
...are at the vertices of any two of its opposite angles. PROP. XXXV. THEOREM. Parallelograms upon the same base, and between the same parallels, are equal to one another. Let the parallelograms AС, B Г be upon the same base B С, and and between the same parallels AF, BС. The... | |
 | Robert Potts - 1855 - 1050 sider
...line joining the bisections of two sides of a triangle is parallel to the base. 3. Triangles upon the same base, and between the same parallels are equal to one another. The lines joining the bisections of the sides of any quadrilateral figure, together constitute a parallelogram.... | |
 | Great Britain. Committee on Education - 1855 - 976 sider
...equal, each to each, namely, those to which the equal sides are opposite, 2. Parallelograms on the same base and between the same parallels are equal to one another. 3. In any triangle, if the square of one of the sides is equal to the squares of the two other sides,... | |
 | Euclides - 1856 - 168 sider
...therefore, the diameter BC divides the parallelogram into two equal parts. XXXVII. Parallelograms upon the same base and between the same parallels are equal to one another. Let the parallelograms ABCD, EBCF (Fig. 29) be upon the same base BC, and between the same parallels AF, BC... | |
 | Cambridge univ, exam. papers - 1856 - 200 sider
...two interior angles upon the same side together equal to two right angles. 6. Parallelograms upon the same base, and between the same parallels, are equal to one another. 7. Describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal... | |
 | War office - 1858 - 578 sider
...the exterior angle is greater than either of the interior opposite angles. 2. Parallelograms upon the same base and between the same parallels are equal to one another. VOLUNTARY PORTION. 1. The opposite angles of a quadrilateral figure, inscribed in a circle, are together... | |
 | Euclides - 1858 - 248 sider
...construction and measurement of Geometrical Figures. \ TO \ i / PROP. 37. — THEOR. Triangles upon the same base and between the same parallels are equal to one another. CONSTRUCTION. — Pst. 2. A st. line may be produced in a st. line. P. 31. Through a given point to... | |
 | Anthony Nesbit - 1859 - 494 sider
...on the same base, and between the same parallels are equal to each other. Let the triangles ABC, DEC be upon the same base BC, and between /' \/ the same...BC; the triangle ABC is equal to the triangle DBC. (Euc. I. 37. Simp. H. 2. Em. II. 10.) THEOREM VII. In any right-angled triangle, the square of the... | |
 | Sandhurst roy. military coll - 1859 - 672 sider
...to one another. State and explain Euclid's Corollary to this proposition. 2. Parallelograms upon the same base and between the same parallels are equal to one another. VOLUNTARY PORTION. 1. About a given circle describe a triangle, equiangular to a given triangle. Given... | |
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Parallelograms upon the same base and between the same parallels, are equal to one another. 
