Books Books To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. The First Book of Euclid's Elements, Simplified, Explained, and Illustrated ... - Page 99
by Euclides - 1847 ## Papers for the schoolmaster, Volume 3

1867 - 336 pages
...opposite ones are eqnal, the trapezium has two of its opposite sides parallel. 2. To a given straight line apply a parallelogram, which shall be equal to a given...have one of its angles equal to a given rectilineal mi 'Jr. Describe a rhombus equal to a given quadrilateral figure. 3. If the square described upon one... ## Annual Report of the Commissioners ...

1851 - 382 pages
...the line on which they stand, ...... 2. To a given straight line to apply a parallelo— 18 1 gram, which shall be equal to a given triangle, and have one of its angles equal to a given angle, 8. If a straight line be divided into any two parts, — 12 C the rectangles contained by the... ## The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 pages
...remaining complement BK is equal to the remaining complement KD. Wherefore the complements, &c. QED PROP. XLIV. PROB. To a given straight line to apply...of its angles equal to a given rectilineal angle. Let AB be the given straight line, and C the given triangle, and D the given rectilineal angle. It... ## The English Journal of Education, Volume 6

Education - 1852 - 512 pages
...together with four right angles, are equal to twice us many right angles as the figure has sides. 3. To a given straight line to apply a parallelogram...of its angles equal to a given rectilineal angle. SECTION II. — 1. If a straight line be divided into any two parts, the squares of the whole line,... ## The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...is equal (3 Ax.) to the remaining complement KD. Wherefore the complements, etc. (i. ED PROPOSITION XLIV. PROB. To a given straight line to apply a parallelogram,...of its angles equal to a given rectilineal angle. Let AB be the given straight line, C the given triangle, and D the given rectilineal angle. It is required... ## The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...BK is equal to the remaining complement KD. Wherefore, the complements, &c. QED PROP. XLIV. PEOBLEM. To a given straight line to apply a parallelogram,...have one of its angles equal to a given rectilineal Let AB be the given straight line, and C the given triangle, and D the given rectilineal angle. It... ## The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 176 pages
...Therefore, if a parallelogram, <fee. QED PROPOSITION XLII. — PROBLEM. To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. LET abС be the given triangle, and d the given rectilineal angle. It is required to describe a parallelogram... ## The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose, Book 1

Euclides - Geometry - 1853 - 334 pages
...and having one of its angles ABN equal to the given angle D. Which was to be done. PEOP. XLV. PEOB. To a given straight line to apply a parallelogram which shall be equal to a given polygon, and have an angle equal to a given angle. I. Let the polygon have four sides. Let AB be the... ## The Elements of Euclid: With Many Additional Propositions ..., Part 1

Euclid - Geometry - 1853 - 176 pages
...straight line (AB) to construct a parallelogram which shall be equal in area to a given triangle (C), and have one of its angles equal to a given rectilineal angle (D). SOLUTION. Produce AB to E, and upon BE construct a parallelogram BEFG equalin area to the triangle... 