## Euclid's Elements of Geometry,: From the Latin Translation of Commandine. To which is Added, A Treatise of the Nature of Arithmetic of Logarithms; Likewise Another of the Elements of Plain and Spherical Trigonometry; with a Preface...Tho. Woodward at the Half-Moon, between the Two Temple-Gates in Fleet-street; and sold by, 1733 - Geometry - 393 pages |

### Common terms and phrases

alfo alſo equal Altitude Angle ABC Angle BAC Bafe becauſe biſected Center Circle ABCD Circle EFGH Circumference Cofine Cone conſequently Coroll Cylinder demonftrated deſcribed Diameter Diſtance drawn thro equal Angles equiangular equilateral Equimultiples faid fame Altitude fame Plane fame Reaſon fimilar fince firſt folid Parallelepipedon fore fubtending given Right Line Gnomon greater join leſs likewiſe Logarithm Magnitudes Meaſure Number oppoſite parallel Parallelogram perpendicular Polygon Priſms Prop PROPOSITION Pyramid Pyramid ABCG Quadrant Radius Ratio Rectangle Rectangle contained remaining Angle Right Angles Right Line AC Right-lined Figure ſame ſame Multiple ſay ſecond Segment ſhall be equal Side BC ſince Sine Solid ſome Sphere ſtand Subtangent THEOREM thereof theſe thoſe three Right Lines Triangle ABC Unity Vertex the Point Wherefore whole

### Popular passages

Page 66 - 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.

Page 163 - IF two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportionals : the triangles shall be equiangular, and shall have those angles equal which are opposite to the homologous sides.

Page 112 - And in like manner it may be shown that each of the angles KHG, HGM, GML is equal to the angle HKL or KLM ; therefore the five angles GHK, HKL, KLM, LMG, MGH...

Page 90 - IN a circle, the angle in a semicircle is a right angle ; but 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.

Page 22 - ... sides equal to them of the other. Let ABC, DEF be two triangles which have the two sides AB, AC equal to the two sides DE, DF, each to each, viz. AB...

Page 11 - ... equal to them, of the other. Let ABC, DEF be two triangles which have the two sides AB, AC equal to the two sides DE, DF, each to each, viz. AB equal to DE, and AC to DF ; but the base CB greater than the base EF ; the angle BAC is likewise greater than the angle EDF.

Page 17 - CF, and the triangle AEB to the triangle CEF, and the remaining angles to the remaining angles, each to each, to which...

Page 33 - ... therefore their other sides are equal, each to each, and the third angle of the one to the third angle of the other, (i.

Page 113 - If two right-angled triangles have their hypotenuses equal, and one side of the one equal to one side of the other, the triangles are congruent.