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And because the angle ABC is equal to the angle BCD, and the angle CBD to the angle ACB...
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Page 30
by Euclid - 1835 - 513 pages

## Report of Her Majesty's Civil Service Commissioners: Together ..., Volume 20

1876 - 584 pages
...greater base shall be greater than the angle contained by the sides equal to them, of the other. 2. The opposite sides and angles of a parallelogram are equal to one The longer side of a parallelogram is double of the shorter. INDIAğ О. В. Prove that the straight...

## Solutions to the mathematical examination papers set for admission to the ...

D. Tierney - 1877 - 126 pages
...their other angles shall be equal, each to each, viz. those to which the equal sides are opposite. 2. The opposite sides and angles of a parallelogram are equal to one another, and the diameter bisects it, that is, divides it into two equal parts. From the angle A of the parallelogram...

## Elements of geometry, based on Euclid, book i

Edward Atkins - 1877 - 72 pages
...it was shown to be equal to it. Therefore, the straight lines, &c. QED Proposition. 34. — Theorem. The opposite sides and angles of a parallelogram are equal to one another, and the diagonal bisects the parallelogram — tluit is, divides it into two equal parts. Let ACDB...

## Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - Geometry - 1877 - 458 pages
...angle ABC is equal to the whole angle ADC. But the angle BAD has been proved equal to the angle BCD ; therefore the opposite sides and angles of a parallelogram are equal to each other. Oor.l. Two parallels, AB, CD, comprehended between two other parallels, AD, BC, are equal...

## The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by ...

Āryabhaṭa - 1878 - 100 pages
...equal (Ax. 2) to the whole angle ADC. And the angle BAD has 1been proved to be equal to the angle BCD. Therefore the opposite sides and angles of a parallelogram are equal to one another. Also the diagonal BD bisects the parallelogram AC, because the two triangles ABD, BCD, are equal. Similarly...

## Complete guide to the certificate and scholarship examinations, by a head ...

J T. Amner - 1878 - 226 pages
...; what other condition is required that the triangles may be equal in all respects ? Section 2. 1. The opposite sides and angles of a parallelogram are equal to one another. If the four corners of a square piece of paper are folded to meet in the centre of the square, another...

## Report of Her Majesty's Civil Service Commissioners: Together ..., Volume 22

1878 - 634 pages
...their other angles shall be equal, each to each, viz., those to which the equĞl sides are opposite. 2. The opposite sides and angles of a parallelogram are equal to one another, and the diameter bisects the parallelogram, that is. divides it into two equal parts. From the angle...

## Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 pages
...bisecting lines, a line be drawn to the opposite angle of the triangle, it will bisect that angle. 2. The opposite sides and angles of a parallelogram are equal to one another, and the diameter bisects it, that is divides it into two equal parts. Prove further that, if from any...