 | T S. Taylor - 1880 - 152 sider
...Repeat. — The enunciations of Euc. I. 33, 34, 35, and Axiom i. General Enunciation. Parallelograms on equal bases and between the same parallels are equal to one another. Particular Enunciation. Given. — The two parallelograms, ABCD, EFGH, DE (a) on the equal bases BC,... | |
 | Euclides - 1881 - 236 sider
...that, if a figure had a thousand sides, he could reduce it, by degrees, to an equivalent triangle. PROP. XXXVIII. THEOREM. Triangles upon equal bases, and between the same parallels, are equal to one anotlter. Let the triangles ABC, DEF, be upon equal bases BC, EF, and between the same parallels BF,... | |
 | 1883 - 536 sider
...proposition is composed. Distinguish carefully between a problem and a theorem. 4. Parallelograms on equal bases and between the same parallels are equal to one another. 5. If a straight line be bisected and produced to any point, the rectangle contained by the whole line... | |
 | 1882 - 498 sider
...diameter bisects it, that is, divides it into two equal parts. 3. Parallelograms upon the same base or upon equal bases and between the same parallels are equal to one another. 4. Bisect a triangle by a line drawn from a given point in one of the sides. 5. From the extremities... | |
 | Mary W I. Shilleto - 1882 - 418 sider
...exterior angles and the third interior angle meet all at one point. 2. Triangles upon the same, or upon equal bases, and between the same parallels are equal to one another. The straight lines drawn from the angles of a triangle to the points of bisection of the opposite sides... | |
 | Marianne Nops - 1882 - 278 sider
...SUMMARY OF PROPOSITIONS XXXVII. AND XXXVIII., THEOREMS 27 AND 2S. Triangles upon the same base, and upon equal bases, and between the same parallels are equal to one another. Cons. — Make parallelograms of which the triangles are half (I. 31, post. 2). Proof.— If"™ on... | |
 | Education Ministry of - 1882 - 292 sider
...right-angled isosceles triangles have their bases equal, they will be equal in all respects. SECTION III. 1. Triangles upon equal bases and between the same parallels are equal to each other. If AB, one of the sides of the triangle ABC, bo bisected in O, and AC divided into three... | |
 | College of preceptors - 1882 - 528 sider
...base, and also have those sides equal that are terminated at the other extremity. 3. Parallelograms on equal bases and between the same parallels are equal to one another. State (without proof) a converse of this proposition. 4. To divide a given straight line into two parts,... | |
 | Education Ministry of - 1882 - 300 sider
...bisecting the external angles of an equilateral triangle are parallel to the sides. 2. Triangles on equal bases and between the same parallels are equal to one another. If the perpendiculars drawn from the vertices to the bases of two triangles be equal, the bases being... | |
 | Moffatt and Paige - 1883 - 516 sider
...triangle ABC is equal to the triangle DEC. Therefore, triangles upon the same base, etc. QED Proposition XXXVIII. Theorem. Triangles upon equal bases and between the same parallels are equal to one another. Let the triangles ABC, DEF be upon equal bases BC, EF, and between the same parallels BF, A D. Then... | |
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Triangles upon equal bases, and between the same parallels, are equal to one another. 
