| John Carroll (art master.) - 1881 - 100 Seiten
...&c. :; HO LESSON XIX.— RECTILINEAL FIGURES INSCRIBED IN AND DESCRIBED ABOUT OTHERS— Continued. " The opposite sides (and angles) of a parallelogram are equal to one another." — Euclid i. 34. Problem 118. — Within any quadrilateral figure V WX Y to inscribe a parallelogram,... | |
| John Gibson - 1881 - 64 Seiten
...be parallel to the base, prove that the triangle is isosceles. TEST PAPER E. Propositions 33-40. 1. The opposite sides and angles of a parallelogram are equal to one another. 2. Parallelograms on the same base and between the same parallels are equal to one another. 3. Triangles... | |
| John Carroll (art master.) - 1881 - 100 Seiten
...Fig.lU. wzv LESSON XIX.— RECTILINEAL FIGURES INSCRIBED IN AND DESCRIBED ABOUT OTHERS— Continued. " The opposite sides (and angles) of a parallelogram are equal to one ,_ another." — Euclid i. 34. Problem 118. — Within any quadii'lateral figure VWXY to inscribe a... | |
| Marianne Nops - 1882 - 278 Seiten
...shown 'to be equal to it. Wherefore the straight lines, &c. — QED PROPOSITION XXXIV., THEOREM 24. The opposite sides and angles of a parallelogram are...equal to one another, and the diameter bisects it. Let ACDB be a Ig*m. of which BC is a diameter. Then shall AB = DC, and AC = DB. And L BAG = L CDB,... | |
| Mary W I. Shilleto - 1882 - 418 Seiten
...two given points draw two lines, forming with a line given in position, an equilateral triangle. 3. The opposite sides and angles of a parallelogram are equal to one another, and the diagonal bisects the parallelogram, that is, divides it into two equal parts. If from the base to the... | |
| 1882 - 486 Seiten
...of that which has the greater contained angle is greater than the base of the other. 8. Prove that the opposite sides and angles of a parallelogram are equal to one another ; and that the diagonal of a parallelogram bisects it. 4. On a given straight line construct a parallelogram... | |
| Isaac Sharpless - 1882 - 286 Seiten
...angles ; therefore AC is parallel (I. 25) to BD, and ABDC is a parallelogram (Def. 22). Proposition 32. Theorem. — The opposite sides and angles of a parallelogram are equal to each other, and the diagonal bisects it. Let ABD C be a parallelogram ; then will its opposite sides... | |
| Euclides - 1883 - 176 Seiten
...sides of a triangle, they shall form a triangle equiangular to the given triangle. PROP. 34. THEOR. The opposite sides and angles of a parallelogram are equal to one another, and the diagonal bisects it. Given ABCD, a parallelogram, AB ie, given AB || DC, and AD || BC; let AC be joined.... | |
| Euclid, Isaac Todhunter - 1883 - 428 Seiten
...whole angle A CD. [A x. 2. And the angle BAG has been shewn to be equal to the angle CDB. Therefore the opposite sides and angles of a parallelogram are equal to one another. Also the diameter bisects the parallelogram. For AB being equal to CD, and BG common, the two sides... | |
| Moffatt and Paige - 1883 - 516 Seiten
...is equal to the whole angle ACD (Ax. 2). And the angle BAG has been proved equal to BDC ; therefore the opposite sides and angles of a parallelogram are equal to one another. Also the diameter BC bisects it. For since, in the triangles ABC, BCD, AB is equal to CD, and BC is... | |
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