Books Books In every triangle, the square of the side subtending either of the acute angles is less than the squares of the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular... Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ... - Page xv
by Robert Potts - 1876 - 403 pages ## The Practice of Engineering Field Work, Applied to Land, Hydrographic, and ...

W. Davis Haskoll - Civil engineering - 1858 - 422 pages
...angle. In every triangle the square of the side subtending an acute angle is less than the squares of the sides containing that angle by twice the rectangle...sides, and the straight line intercepted between the acute angle and the perpendicular lot fall upon it from the opposite angle. If four straight lines... ## Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 pages
...side subtending either of the acute angles is less than the squares of the sides containing that acute angle by twice the rectangle contained by either of...line intercepted between the perpendicular let fall upon it from the opposite angle and the acute angle. CONS.— 12. 1., Pst. 2. DEM. — 7- II. If a... ## Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 pages
...triangle, the square of the side subtending either of the acute angles, is less than the squares of the sides containing that angle, by twice the rectangle contained by either of those sides and the straight line intercepted between the acute angle and the perpendicular let fall... ## Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 pages
...PROPOSITION XIII. THEOREM. In every triangle, the square on the side subtending any of the acute angles is less than the squares on the sides containing that...line intercepted between the perpendicular let fall upon it from the opposite angle, and the acute angle. Given any triangle ABC, and the angle at B one... ## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...PROPOSITION XIII. THEOREM. In every triangle, the square on the side subtending either of the acute ungles, is less than the squares on the sides containing that...sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. Let AB C be any triangle,... ## Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Geometry - 1860 - 332 pages
...subtending any of the acute angles, is less than the squares of the sides containing that angle, by turice the rectangle contained by either of these sides,...line intercepted between the perpendicular, let fall upon it from the opposite angle, and the acute angle. Let ABC be any triangle, and the angle at B one... ## Elements of Geometry, and Plane and Spherical Trigonometry: With Numerous ...

Horatio Nelson Robinson - Geometry - 1860 - 472 pages
...square on a side opposite an acute angle is less than the sum of the squares on the other two sides, by twice the rectangle contained by either of these sides, and the distance from the vertex of the acute angle to the foot of the perpendicular let fall on this side,... ## Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1861 - 572 pages
...every triangle the square of the side subtending either of the acute angles is less than the squares of the sides containing that angle by twice the rectangle...line intercepted between the perpendicular let fall upon it from the opposite angle and the acute angle. In any triangle shew that the sum of the squares... ## Examination papers used at the examination of candidates for appointment to ...

War office - 1861 - 260 pages
...triangle, the square of the side subtending either of the acute angles is less than the squares of the sides containing that angle by twice the rectangle contained by either of those sides and the straight line intercepted between the acute angle and the perpendicular let fall... 