## Elements of Geometry |

### From inside the book

Results 1-5 of 42

Page vi

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**construction**of figures . The third section , entitled the proportions of figures , contains the measure of surfaces , their comparison , the properties of a right - angled triangle , those of equiangular triangles , of similar figures ... Page 9

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**construction**; therefore ( 43 ) the angle B is equal to the angle C. 46. Corollary . An equilateral triangle is also equiangular ; that is , it has its angles equal . GEOH 2 Fig . 29 . - 47. Scholium . From the Of Perpendicular and ... Page 14

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**construction**to the triangle AB'C ' , in order to form a third triangle AC " B " , designating the angles by A " , B " , C " , respectively , we shall have , in like manner , the two equations C " C'B ' , and A ' = A ′′ + B " , which ... Page 15

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**construction**, and which ap- proach more and more the limit at which the angles a ' and b ' are nothing . At this limit , the straight line a'c'd ' is confounded with a'b ' , and the three points a ' , c ' , b ' , are in the same ... Page 37

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**construction**will serve to make a right angle BAD at a given point A in a given line BC . PROBLEM . 135. From a given point A ( fig . 72 ) , without the straight line Fig . 72 BD , to let fall a perpendicular upon this line . Solution ...### Other editions - View all

### Common terms and phrases

ABC fig adjacent angles altitude angle ACB angle BAC base ABCD bisect centre chord circ circular sector circumference circumscribed common cone consequently construction convex surface Corollary cube cylinder Demonstration diagonals diameter draw drawn equal angles equiangular equilateral equivalent faces figure formed four right angles frustum GEOM given point gles greater hence homologous sides hypothenuse inclination intersection isosceles triangle JOHN CRERAR LIBRARY join less Let ABC let fall line AC mean proportional measure the half meet multiplied number of sides oblique lines opposite parallelogram parallelopiped perimeter perpendicular plane MN polyedron prism produced proposition radii radius ratio rectangle regular polygon right angles Scholium sector segment semicircle semicircumference side BC similar solid angle sphere spherical polygons spherical triangle square described straight line tangent THEOREM three angles triangle ABC triangular prism triangular pyramids vertex vertices whence