 | Woolwich roy. military acad - 1861 - 572 σελίδες
...reciprocally proportional, and parallelograms that have one angle of the one equal to one angle of the other, and their sides about the equal angles...reciprocally proportional, are equal to one another. 9. Prove the sine of an angle or arc equal to the cosine of its complement. Find the angle or arc,... | |
 | Euclides - 1861 - 464 σελίδες
...2 Cone. D. 1 H. & 1, VI. 2 1,VI. S 11, V. 4 9, V. 5 Ree. portioned: and conversely, triangles which have one angle in the one equal to one angle in the other, and the sides about the equal angles reciprocally proportional, are equal to one another. CON. 14, Pst.... | |
 | War office - 1861 - 714 σελίδες
...in a given circle. 2. When are triangles called " reciprocal figures?" Prove that triangles, which have one angle in the one equal to one angle in the other, and the sides about the equal angles reciprocally proportional, are equal to each other. The base and altitude... | |
 | Euclides - 1864 - 448 σελίδες
...shall have those angles equal about which the stiies are proportionals. Let the two triangles ABC, DEF have one angle in the one equal to one angle in the other, viz. the angle BA C to the angle EDF, and the sides about two other angles ABC, DEF proportionals,... | |
 | Robert Potts - 1865 - 528 σελίδες
...shall have those angles equal about which the sides are proportionals. Let the two triangles ABC, DEF have one angle in the one equal to one angle in the other, viz. the angle BA C to the angle EDF, and the sidea about two other angles ABC, DEF proportionals,... | |
 | Euclides - 1865 - 402 σελίδες
...proportionals. (References— Prop. I. 5, 13, 17, 23, 32 ; v. 9, 11 ; VI. 4.) Let the two triangles ABC, DEF have one angle in the one equal to one angle in the other, viz. the angle BAC to the angle EDF, and the sides about two other angles ABC, DEF proportionals, so... | |
 | James Robert Christie - 1866 - 426 σελίδες
...angles reciprocally proportional; and triangles which have one angle of the one equal to one angle of the other, and their sides about the equal angles reciprocally proportional, are equal. 6. The circumferences of circles are to one another as their diameters. 6. If two straight lines meeting... | |
 | Euclid, Isaac Todhunter - 1867 - 426 σελίδες
...reciprocally proportional; and parallelograms which have one angle of the one equal to one angle of the other, and their sides about the equal angles...reciprocally proportional, are equal to one another. Let AB, BC be equal parallelograms, which have the angle FBD equal to the angle EBG: the sides of the parallelograms... | |
 | Euclid, Isaac Todhunter - 1867 - 424 σελίδες
...reciprocally proportional; and parallelograms which have one angle of the one equal to one angle of the other, and their sides about the equal angles...reciprocally proportional, are equal to one another. \ Let AB, BC be equal parallelograms, which have the angle FBD equal to the angle EBG : the sides of the... | |
 | Euclid - 1868 - 138 σελίδες
...the equal angles reciprocally proportional ; and triangles which have an angle in the one equal to an angle in the other, and their sides about the equal...reciprocally proportional, are equal to one another. PART I. Statement — Let the triangles ABD and CBL be equal, and let their angles at B be equal ;... | |
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... triangles which have one angle in the one equal to one angle in the other, and their sides about the equal angles reciprocally proportional, are equal to one another. 
