 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...subtending an acute angle is less than the squares on the sides containing that angle by twice the rectangle contained by either of these sides and the straight...line intercepted between the perpendicular let fall on it from the opposite angle and the acute angle. Let ABC be any A having L ABC acute. BCD (i.) If... | |
 | Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...subtending an acute angle is less than the squares on the sides containing that angle by twice the rectangle contained by either of these sides and the straight...line intercepted between the perpendicular let fall on it from the opposite angle and the acute angle. 14. To describe a square that shall be equal to... | |
 | Queensland. Department of Public Instruction - Education - 1892 - 508 pages
...an acute angle, is less than the squares on the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight...line intercepted between the perpendicular let fall on it from the opposite angle, and the acute angle. For Admission as Teacher of the Third Class. (Three... | |
 | Euclid - Geometry - 1892 - 460 pages
...an acute angle, is less than the squares on the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight...line intercepted between the perpendicular let fall on it from the opposite angle, and the acute angle. Fig.l. Fig. 2 Let ABC be any triangle having the... | |
 | Yale University - 1892 - 200 pages
...subtending an acute angle is less than the squares on the sides containing that angle by twice the rectangle contained by either of these sides, and the straight...line intercepted between the perpendicular let fall on it from the opposite angle and the acute angle. 3. The opposite sides of a parallelogram are equal... | |
 | Canada - 1893 - 1092 pages
...an acute angle is less than the squares on the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight...line intercepted between the perpendicular let fall on it. from the opposite angle and the acute angle. 6. If two circles touch one another externally,... | |
 | Henry Martyn Taylor - 1893 - 486 pages
...by either of these sides, and the part of the side intercepted between the perpendicular let fall on it from the opposite angle, and the acute angle. Let ABC be a triangle, and let the angle ABC be an acute angle; let AD be drawn perpendicular to BC and meet it... | |
 | Henry Martyn Taylor - Euclid's Elements - 1895 - 708 pages
...by either of these sides, and the part of the side intercepted between the perpendicular let fall on it from the opposite angle, and the acute angle. Let ABC be a triangle, and let the angle ABC be an acute angle; let AD be drawn perpendicular to BC and meet it... | |
 | Great Britain. Civil Service Commission - Civil service - 1896 - 112 pages
...of the angles, is less than the squares on the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight...line intercepted between the perpendicular let fall on it from the opposite angle, and the aforesaid angle. ALGEBRA TO SIMPLE EQUATIONS. (Seeßrst note... | |
 | Great Britain. Board of Education - Boys - 1900 - 566 pages
...an acute angle, is less than the squares on the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight...line intercepted between the perpendicular let fall on it from the opposite angle, and the acute angle. 5. The opposite angles of any quadrilateral figure... | |
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Therefore, in obtuse-angled triangles, &c. QED PROP. XIII. THEOREM. 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... 
