Books Books If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line. The Elements of Geometry, Symbolically Arranged - Page 21
by Great Britain. Admiralty - 1846 ## The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 130 pages
...ZCBE + ZDBE =ZDBA+ Z.ABC ; AX.I. but ACBE + ^DBE = 2 rt. /.s, .-. /. DBA + L ABC = 2 rt. L s. Ax K Therefore the angles, &c. PROP. XIII. THEOR. 14. 1...let BC, BD, on the oppo. sides of AB, make the adj. /. s ABC + /.ABD= 2 rt. /.s; then shall BD be in the same straight line with BC. A / but L ABC + L... ## The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...to two right angles. Wherefore, The angles, which one straight line %c. <t. i:.j>. PROP. XIV. THEOR. If, at a point in a straight line, two other straight...one and the same straight line. At the point B in the straight line AB, let the two straight lines BC, BD, upon the opposite sides of AB, make the adjacent... ## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1846 - 332 pages
...angles ; because their sum is equal to that of the two adjacent angles DBA, ABC. PROP. XIV. THEOR. //, at a point in a straight line, two other straight...equal to two right angles, these two straight lines are in one and the same straight line. At the point B in the straight line AB, let the two straight... ## Minutes of the Committee of Council on Education: with Appendices, Volume 1

Great Britain. Committee on Education - Education - 1846 - 434 pages
...equations 4 x + 3 7 x — 29 _ 8 a: + 19 ' 9 *~ 5 x - 12 "" IS 8. " Prove that if at a point in a given straight line two other straight lines upon the opposite...equal to two right angles, these two straight lines are in one and the same straight line." 9. The wages of a servant were 40/. yearly and a suit of livery.... ## Report of the Committee of Council on Education (England and Wales ..., Issue 1

Great Britain. Council on Education - Education - 1846 - 474 pages
...8 x + 19 9 5 x - 12 18 8. " Prove that if at a point in a given straight line two other strain-lit lines upon the opposite sides of it make the adjacent...equal to two right angles, these two straight lines are in one and the same straight line." 9. The wages of a servant were 40Z. yearly and a suit of livery.... ## Minutes of the Committee of Council on Education: with Appendices, Volume 1

Great Britain. Committee on Education - Education - 1847 - 624 pages
...equal angles shall be equal. 2. If at a point in a given straight line two other straight lines on the opposite sides of it make the adjacent angles...lines shall be in one and the same straight line. 3. Equal triangles on the same base and on the same side of it are between the same parallels. Section... ## Minutes of the Committee of Council on Education, Volume 1

Great Britain. Committee on Education - School buildings - 1847 - 606 pages
...ALGEBRA. SECTION I. Prove that, 1. If at a point in a given straight line two other straight lines on the opposite sides of it make the adjacent angles...lines shall be in one and the same straight line. 2. Any two sides of a triangle are together greater than the third side. SECTION II. 1. To divide a... ## The First Book of Euclid's Elements, Simplified, Explained, and Illustrated ...

Euclides - 1847 - 128 pages
...constructed. The converse of the Proposition may be thus demonstrated : — PROP. G. THEOR. GEN. ENHN. — If at a point in a straight line, two other straight lines, upon the opposite sides of it, make the vertical angles equal, these two straight lines shall be in one and the same straight line. PART. ENUN.... ## The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclid - 1848 - 52 pages
...of it, are either two right angles, or are together equal to two right angles. PROP. XIV. THEOREM. If, at a point in a straight line, two other straight...lines shall be in one and the same straight line. PROP. XV. THEOREM. EUCLID S ELEMENTS. COR. 1. From this it is manifest, that, if two straight lines... 