# Elements of Geometry, and Plane and Spherical Trigonometry: With Numerous Practical Problems

Ivison, Phinney, Blakeman & Company, 1865 - 444 уелЯдет
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### Ресйечьменб

 PLANE GEOMETRY 9 Units of Measure 15 BOOK II 59 BOOK III 88 BOOK V 130 Practical Problems 142 BOOK VI 152 BOOK VII 172
 Trigonometrical Lines for Arcs exceeding 90 270 Logarithms 278 RightAngled Trigonometry 288 Practical Problems 295 Practical Problems 305 SECTION II 330 SECTION III 337 Napiers Analogies 348

### ДзмпцйлЮ брпурЬумбфб

УелЯдб 322 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
УелЯдб 30 - Therefore all the interior angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
УелЯдб 123 - In a given circle to inscribe a triangle equiangular to a given triangle. Let ABC be the given circle, and DEF the given triangle ; it is required to inscribe in the circle ABC a triangle equiangular to the triangle DEF.
УелЯдб 58 - If a straight line be divided into two equal parts, and also into two unequal parts; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line.
УелЯдб 29 - If one side of a triangle is produced, the exterior angle is equal to the sum of the two interior and opposite, angles; and the three interior angles of every triangle are equal to two right angles.
УелЯдб 41 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
УелЯдб 96 - The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
УелЯдб 65 - In a series of equal ratios, any antecedent is to its consequent, as the sum of all the antecedents is to the sum of all the consequents. Let a: 6 = c: d = e :/. Then, by Art.
УелЯдб 77 - FGL ; (vi. 6.) and therefore similar to it ; (vi. 4.) wherefore the angle ABE is equal to the angle FGL: and, because the polygons are similar, the whole angle ABC is equal to the whole angle FGH ; (vi.
УелЯдб 113 - From a given point, to draw a line parallel to a given line. Let A be the given point, and BC the given line.